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Conjecture in number theory
In mathematics, Serre's modularity conjecture, introduced by Jean-Pierre Serre (1975, 1987), states that an odd, irreducible, two-dimensional Galois representation
Serre's_modularity_conjecture
Topics referred to by the same term
of linear algebraic groups Serre's modularity conjecture, concerning Galois representations Serre's multiplicity conjectures in commutative algebra Ribet's
Serre's_conjecture
Relates rational elliptic curves to modular forms
proven, the conjecture became known as the modularity theorem. Several theorems in number theory similar to FLT follow from the modularity theorem. For
Modularity_theorem
1995 publication in mathematics
studied in greater generality in the subsequent work on the Serre modularity conjecture. The idea involves the interplay between the mod 3 and mod 5
Wiles's proof of Fermat's Last Theorem
Wiles's_proof_of_Fermat's_Last_Theorem
Belgian mathematician
geometry) Perverse sheaf Riemann–Hilbert correspondence Serre's modularity conjecture Standard conjectures on algebraic cycles Abramovich, Dan; Graber, Tom;
Pierre_Deligne
(Javier Cilleruelo, Imre Z. Ruzsa, and Carlos Vinuesa, 2010) Serre's modularity conjecture (Chandrashekhar Khare and Jean-Pierre Wintenberger, 2008) Green–Tao
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
height Serre group Serre's modularity conjecture Serre's multiplicity conjectures Serre's open image theorem Serre's property FA Serre relations Serre subcategory
List of things named after Jean-Pierre Serre
List_of_things_named_after_Jean-Pierre_Serre
Unsolved problem in mathematics
mathematics, the Ramanujan-Petersson conjecture is a conjecture concerning the growth rate of coefficients of modular forms and more generally, automorphic
Ramanujan–Petersson conjecture
Ramanujan–Petersson_conjecture
Aharoni-Korman conjecture also known as the fishbone conjecture Atiyah conjecture (not a conjecture to start with) Borsuk's conjecture Bunkbed conjecture Chinese
List_of_conjectures
17th-century conjecture proved by Andrew Wiles in 1994
and modular forms. The resulting modularity theorem (at the time known as the Taniyama–Shimura conjecture) states that every elliptic curve is modular, meaning
Fermat's_Last_Theorem
Result concerning properties of Galois representations associated with modular forms
the epsilon conjecture or ε-conjecture) is part of number theory. It concerns properties of Galois representations associated with modular forms. It was
Ribet's_theorem
Indian mathematician (born 1968)
thesis was published in the Duke Mathematical Journal. He proved Serre's modularity conjecture with Jean-Pierre Wintenberger, published in Inventiones Mathematicae
Chandrashekhar_Khare
Analytic function on the upper half-plane with a certain behavior under the modular group
\varepsilon (a,b,c,d)(cz+d)^{k}} which are used to generalise the modularity relation defining modular forms, so that f ( a z + b c z + d ) = ε ( a , b , c , d
Modular_form
Prize awarded by the American Mathematical Society
Dimitrov, Vesselin; Tang, Yunqing (2025). "The unbounded denominators conjecture" (PDF). Journal of the American Mathematical Society. 38 (3): 627–702
Cole_Prize
French mathematician (1954–2019)
number theory, along with Chandrashekhar Khare, for his proof of Serre's modularity conjecture. Wintenberger earned his Ph.D. at Joseph Fourier University
Jean-Pierre_Wintenberger
French mathematician (born 1926)
representations have often a "large" image; the concept of p-adic modular form; and the Serre conjecture (now a theorem) on mod-p representations that made Fermat's
Jean-Pierre_Serre
Type of Dirichlet series associated to number field extensions
two-dimensional representations follows from the proof of Serre's modularity conjecture, regardless of image subgroup. For the cyclic or dihedral case
Artin_L-function
Mathematics award
Khare "for his proof (with Jean-Pierre Wintenberger) of the Serre modularity conjecture in number theory" 2009 Elon Lindenstrauss "for his contributions
Fermat_Prize
British mathematician who proved Fermat's Last Theorem
limited form of the modularity theorem (unproven at the time and then known as the "Taniyama–Shimura–Weil conjecture"). The modularity theorem involved elliptic
Andrew_Wiles
Branch of algebraic geometry
Shimura posed the Taniyama–Shimura conjecture (now known as the modularity theorem) relating elliptic curves to modular forms. This connection would ultimately
Arithmetic_geometry
36 mathematical problems stated in 1955
Taniyama–Shimura conjecture (now known as the modularity theorem), which states that every elliptic curve over the rational numbers is modular. This conjecture played
Taniyama's_problems
the discriminant of a global field. The optimal level in the Serre modularity conjecture is expressed in terms of the Artin conductor. The Artin conductor
Artin_conductor
Dutch mathematician (1962–2022)
was on modular curves. He worked on the techniques used in Wiles's proof of Fermat's Last Theorem and the proof of Serre's modularity conjecture. He later
Bas_Edixhoven
Group in arithmetic geometry
extended this to modular elliptic curves over the rationals of analytic rank at most 1. (The modularity theorem later showed that the modularity assumption
Tate–Shafarevich_group
Complex-differentiable part of a Maass wave function
ISSN 0010-3616, MR 2129953, S2CID 14466569 Serre, Jean-Pierre; Stark, H. M. (1977), "Modular forms of weight 1/2", Modular functions of one variable, VI (Proc
Mock_modular_form
Monster and modular connection
1992 proof of the monstrous moonshine conjecture established a deep connection between the monster group and modular functions, it provides a route from
Monstrous_moonshine
Algebraic hypersurface
of Galois representations has dimension two, by the proof of Serre's modularity conjecture. The Consani–Scholton quintic provides a non-rigid example,
Consani–Scholten_quintic
Algebraic variety
stack of elliptic curves Modularity theorem Shimura variety, a generalization of modular curves to higher dimensions Serre, Jean-Pierre (1977), Cours
Modular_curve
On generating functions from counting points on algebraic varieties over finite fields
proof of Serre (1960) of an analogue of the Weil conjectures for Kähler manifolds, Grothendieck envisioned a proof based on his standard conjectures on algebraic
Weil_conjectures
Mathematical function associated to algebraic varieties
the Hasse–Weil conjecture follows from the modularity theorem: each elliptic curve E over Q {\displaystyle \mathbb {Q} } is modular. The Birch and Swinnerton-Dyer
Hasse–Weil_zeta_function
In number theory, the Stark conjectures, introduced by Stark (1971, 1975, 1976, 1980) and later expanded by Tate (1984), give conjectural information
Stark_conjectures
by Serre's modularity conjecture, proved Khare and Wintenberger together with work of Kisin. With this case covered, the strong Artin conjecture is known
Langlands–Tunnell_theorem
Matrix group
{\displaystyle \Gamma } has the congruence subgroup property. A conjecture generally attributed to Serre states that an irreducible arithmetic lattice in a semisimple
Congruence_subgroup
Type of vector space
study the p-adic Langlands correspondence. It is the subject of several conjectures on the cohomology of arithmetic groups by Akshay Venkatesh and his collaborators
Hecke_algebra
Algebraic variety that is a moduli space for principally polarized abelian varieties
finiteness conjecture. The main idea of Faltings' proof is the comparison of Faltings heights and naive heights via Siegel modular varieties. Hilbert modular surface
Siegel_modular_variety
French mathematician (1928–2014)
Scheme (mathematics) Section conjecture Semistable abelian variety Sheaf cohomology Stack (mathematics) Standard conjectures on algebraic cycles Sketch
Alexander_Grothendieck
Elliptic curve associated with a Fermat triple
Taniyama–Shimura conjecture would imply Fermat's Last Theorem. Serre did not provide a complete proof and what was missing became known as the epsilon conjecture or
Frey_curve
2000. Orient Blackswan. p. 469. Khare, Chandrashekhar (2006), "Serre's modularity conjecture: The level one case", Duke Mathematical Journal 134 Osmundsen
List of Marathi people in science, engineering and technology
List_of_Marathi_people_in_science,_engineering_and_technology
Prime number with a certain relationship to an elliptic curve
Lang–Trotter conjecture Sato–Tate conjecture Silverman 1986, pp. 137–144. Deuring 1941. Serre 1998, p. I-25. Elkies 1991, p. 127. Serre 1981, p. 357.
Supersingular prime (algebraic number theory)
Supersingular_prime_(algebraic_number_theory)
Function studied by Ramanujan
p} , which is called the Ramanujan conjecture. Assuming the first properties, Ramanujan noted that his conjecture is equivalent to the inequality | τ
Ramanujan_tau_function
Linear operator acting on modular forms
property conjectured by Ramanujan. The idea goes back to earlier work of Adolf Hurwitz, who treated algebraic correspondences between modular curves which
Hecke_operator
Jean-Pierre Serre gave a recipe in (Serre 1970) for the so-called Gamma factors in terms of the Hodge realization of the motive. It is conjectured that, like
Motivic_L-function
Indian mathematician (1887–1920)
others like it that Ramanujan proved) inspired Jean-Pierre Serre (1954 Fields Medalist) to conjecture that there is a theory of Galois representations that
Srinivasa_Ramanujan
Hilbert–Schmidt integral operator Hilbert–Schmidt theorem Hilbert–Serre theorem Hilbert–Smith conjecture Hilbert–Speiser theorem Hilbert–Waring theorem Hilbert's
List of things named after David Hilbert
List_of_things_named_after_David_Hilbert
Canadian-American mathematician
the weight part of Serre's conjecture for Hilbert modular forms, and with Matthew Emerton and Toby Gee he proved Breuil's conjecture on local-global compatibility
David_Savitt_(mathematician)
American mathematician (born 1937)
topology. In an elementary fashion, he proved the generalized Schoenflies conjecture (his complete proof required an additional result by Marston Morse), around
Barry_Mazur
Mathematics of varieties with integer coordinates
modern examples include the André–Oort conjecture, the Bogomolov conjecture and also the uniform Mordell conjecture. Serge Lang published a book Diophantine
Diophantine_geometry
American mathematician (1940–2011)
a proof of Serre's conjecture about the triviality of algebraic vector bundles on affine space, which led to the Bass–Quillen conjecture. He was also
Daniel_Quillen
Study of complex manifolds and several complex variables
Voisin, C., 2016. The Hodge conjecture. In Open problems in mathematics (pp. 521-543). Springer, Cham. Zheng 2001, p. 90 Serre, Jean-Pierre (1956). "Géométrie
Complex_geometry
American mathematician
important contributions include a proof, in a 1960 paper, of the Poincaré Conjecture in dimensions greater than six and a proof, in a 1971 paper, of the Stallings
John_R._Stallings
American mathematician
conjecture formulated by Jean-Pierre Serre was true, and thereby proved that Fermat's Last Theorem would follow from the Taniyama–Shimura conjecture.
Ken_Ribet
Mathematical concept
variety is described by the André–Oort conjecture. Conditional results have been obtained on this conjecture, assuming a generalized Riemann hypothesis
Shimura_variety
statement that they agree is called the main conjecture of Iwasawa theory for that situation. Such conjectures represent formal statements concerning the
P-adic_L-function
number Chow ring Chern class Serre's multiplicity conjectures Albanese variety Picard group Modular form Moduli space Modular equation J-invariant Algebraic
List of algebraic geometry topics
List_of_algebraic_geometry_topics
British-Lebanese mathematician (1929–2019)
related paper they showed that the Hodge conjecture for integral cohomology is false. The Hodge conjecture for rational cohomology is, as of 2008, a
Michael_Atiyah
American mathematician
algorithms to numerically investigate generalizations of the Sato-Tate conjecture regarding the distribution of point counts for a curve (or abelian variety)
Andrew Sutherland (mathematician)
Andrew_Sutherland_(mathematician)
American mathematician
Proc. Symp. Pure Math. 66, AMS 1999 "Hilbert modular forms, elliptic curves and the Hodge Conjecture", in H. Hida, D. Ramakrishnan, F. Shahidi (eds
Don_Blasius
Theory of a class of elliptic curves
{\displaystyle \lambda } in K {\displaystyle K} . Conversely, Kronecker conjectured – in what became known as the Kronecker Jugendtraum – that every abelian
Complex_multiplication
History of a branch of mathematics
Bass–Serre theory), much enlivened the study of hyperbolic groups, automatic groups. Questions such as William Thurston's 1982 geometrization conjecture,
History_of_group_theory
Branch of pure mathematics
which was proved 358 years after the original formulation, and Goldbach's conjecture, which remains unsolved since the 18th century. German mathematician Carl
Number_theory
Weil conjectures in the early 1970s. Other authors who worked on one or several volumes of SGA include Michel Raynaud, Michael Artin, Jean-Pierre Serre, Jean-Louis
List of publications in mathematics
List_of_publications_in_mathematics
variety over the rationals has bad reduction somewhere. 2001 Proof of the modularity theorem for elliptic curves is completed. PDF Miscellaneous Diophantine
Timeline_of_abelian_varieties
New Zealand mathematician
entitled "The conjectures of Birch and Swinnerton-Dyer for constant abelian varieties over function fields," he proved the conjecture of Birch and Swinnerton–Dyer
James_Milne_(mathematician)
hyperbolic virtually Haken conjecture, which was the only case left of this conjecture after Thurston's geometrization conjecture was proved by Perelman.
Cubical_complex
Norwegian international mathematics prize
Board". www.abelprize.no. Retrieved 30 December 2022. "2003: Jean-Pierre Serre". The Norwegian Academy of Science and Letters. Retrieved 21 July 2022.
Abel_Prize
Construct in mathematics
G K v , M ) {\displaystyle H^{1}(G_{K_{v}},M)} . In his 1954 paper A Conjecture Concerning Rational Points On Cubic Curves, Selmer investigates generators
Selmer_group
Integral lattice of determinant 1 or –1
particular if we take the lattice to be 0, this implies the Poincaré conjecture for 4-dimensional topological manifolds. Donaldson's theorem states that
Unimodular_lattice
American mathematician (born 1943)
adapted methods of scheme theory and category theory to the theory of modular forms. Subsequently, he has applied geometric methods to various exponential
Nick_Katz
German mathematician (1896–1981)
encompassing the use of theta-functions. The Siegel modular varieties, which describe Siegel modular forms, are recognised as part of the moduli theory
Carl_Ludwig_Siegel
Type of group in group theory
Oppenheim conjecture; stronger results (Ratner's theorems) were later obtained by Marina Ratner. In another direction the classical topic of modular forms
Arithmetic_group
include: List of algebras List of algorithms List of axioms List of conjectures List of data structures List of derivatives and integrals in alternative
List_of_theorems
Jean-Pierre Serre provides partial proof that a Frey curve cannot be modular, showing that a proof of the semistable case of the Taniyama-Shimura conjecture would
1985_in_science
Japanese mathematician
theory the Ihara zeta function has an interpretation, which was conjectured by Jean-Pierre Serre and proved by Toshikazu Sunada in 1985. Sunada also proved
Yasutaka_Ihara
des équations polynomiales sur un corps fini, d'après A. Weil (Weil conjectures) Jacques Dixmier, Anneaux d'opérateurs et représentations des groupes
Séminaire Nicolas Bourbaki (1950–1959)
Séminaire_Nicolas_Bourbaki_(1950–1959)
History of maths
Dwork Proves the rationality part of the Weil conjectures (the first conjecture). 1959 Jean-Pierre Serre Algebraic K-theory launched by explicit analogy
Timeline of category theory and related mathematics
Timeline_of_category_theory_and_related_mathematics
Geometric space
n c . {\displaystyle {\mathcal {M}}_{g,n}^{\mathrm {c.} }} . Witten conjecture Tautological ring Grothendieck–Riemann–Roch theorem Deligne, Pierre; Mumford
Moduli_of_algebraic_curves
Poincaré en dimensions élevées, d'après J. Stallings (Poincaré conjecture) Jean-Pierre Serre, Groupes finis à cohomologie périodique, d'après R. Swan (group
Séminaire Nicolas Bourbaki (1960–1969)
Séminaire_Nicolas_Bourbaki_(1960–1969)
Branch of mathematics
such as stack theory. One of seven Millennium Prize problems, the Hodge conjecture, is a question in algebraic geometry. Algebraic geometry has applications
Geometry
In mathematics, invariant of square matrices
Cayley–Menger determinant Dieudonné determinant Slater determinant Determinantal conjecture Lang 1985, §VII.1 "Determinants and Volumes". textbooks.math.gatech.edu
Determinant
Subgroup of the group of invertible n×n matrices
cohomological invariant, essential dimension, Kneser–Tits conjecture, Serre's conjecture II Pseudo-reductive group Differential Galois theory Distribution
Linear_algebraic_group
Type of mathematical object
Galois representations was used in Wiles's work on the Shimura–Taniyama conjecture. Fundamental group scheme Geometric invariant theory GIT quotient Groupoid
Group_scheme
Branch of mathematics that studies the properties of groups
accessible. They also often serve as a test for new conjectures. (For example the Hodge conjecture (in certain cases).) The one-dimensional case, namely
Group_theory
Representations of finite groups, particularly on vector spaces
the modular representation theory of Richard Brauer was developed. Character theory Real representation Schur orthogonality relations McKay conjecture Burnside
Representation theory of finite groups
Representation_theory_of_finite_groups
Set with associative invertible operation
group. The monstrous moonshine conjectures, proved by Richard Borcherds, relate the monster group to certain modular functions. The gap between the classification
Group_(mathematics)
Group that is also a differentiable manifold with group operations that are smooth
structure on G which turns it into a Lie group (see also Hilbert–Smith conjecture). If the underlying manifold is allowed to be infinite-dimensional (for
Lie_group
Country in Southeast Europe
Constantin Carathéodory (known for the Carathéodory theorems and Carathéodory conjecture), astronomer E. M. Antoniadi, archaeologists Ioannis Svoronos, Valerios
Greece
Concept in mathematics
coefficient groups M, Ha(k,M). In this direction, Steinberg proved Serre's "Conjecture I": for a connected linear algebraic group G over a perfect field
Reductive_group
Mathematical classification of surfaces
look like (which for class VII depends on the global spherical shell conjecture, still unproved in 2024).[citation needed][needs update] For surfaces
Enriques–Kodaira classification
Enriques–Kodaira_classification
Graduate-level textbooks in mathematics
Eric M. Friedlander 2000-04-04 254 978-0691048154 144 The Real Fatou Conjecture Jacek Graczyk, Grzegorz Świątek 1998-10-05 148 978-0691002583 145 Surveys
Annals_of_Mathematics_Studies
Algebra in algebraic topology
boundary operators. The Adem relations for p = 2 {\displaystyle p=2} were conjectured by Wen-tsün Wu (1952) and established by José Adem (1952). They are given
Steenrod_algebra
Algebraic structure
ISBN 978-0-387-94268-1, MR 1322960 Hochster, Melvin (2007), "Homological conjectures, old and new", Illinois J. Math., 51 (1): 151–169, doi:10.1215/ijm/1258735330
Commutative_ring
existence of bounded gaps between arbitrarily large primes (2013), and the modularity theorem (2001). The AKS primality test was published in 2002, which is
History_of_mathematics
Generalized manifold
Orientifold Ring of modular forms Stack (mathematics) Satake 1956. Thurston 1978–1981, Chapter 13. Haefliger 1990. Poincaré 1985. Serre 1970. Scott 1983
Orbifold
Bayer-Fluckiger (born 1951), Hungarian-Swiss mathematician, proved Serre's conjecture on Galois cohomology of classical groups Jillian Beardwood (1934–2019)
List_of_women_in_mathematics
Algebraic structure with addition, multiplication, and division
function (open as of 2017) can be regarded as being parallel to the Weil conjectures (proven in 1974 by Pierre Deligne). Cyclotomic fields are among the most
Field_(mathematics)
Partial results found before the complete proof
representations and their deformations, Frey's construction, and the conjectures of Serre and of Taniyama–Shimura. Shay, David (2003). "Fermat's Last Theorem"
Proof of Fermat's Last Theorem for specific exponents
Proof_of_Fermat's_Last_Theorem_for_specific_exponents
Algebraic structure
for A a subring of B. It was noticed by Jean-Pierre Serre in the 1960s based on the Weil conjectures that even singular (possibly reducible) and non-complete
Hodge_structure
Type of mathematical functions
complex manifolds, and the Grauert–Riemenschneider conjecture is a special case of the conjecture of Narasimhan. In fact it was the need to put (in particular)
Function of several complex variables
Function_of_several_complex_variables
Awarded every year by the American Mathematical Society
doi:10.1080/00029890.1975.11993832. ISSN 0002-9890. Lam, T. Y. (1978). Serre's Conjecture. Lecture Notes in Mathematics. Vol. 635. Springer Berlin, Heidelberg
Leroy_P._Steele_Prize
1995. Bushnell, Colin J.; Henniart, Guy (2006), The local Langlands conjecture for GL(2), Grundlehren der Mathematischen Wissenschaften [Fundamental
Glossary of representation theory
Glossary_of_representation_theory
SERRES MODULARITY-CONJECTURE
SERRES MODULARITY-CONJECTURE
Girl/Female
Tamil
Hashmitha | ஹஷà¯à®®à¯€à®¤à®¾
Popularity
Hashmitha | ஹஷà¯à®®à¯€à®¤à®¾
Male
Russian
Variant spelling of Russian Sergei, possibly SERGEY means "sergeant."
Male
English
Variant spelling of English Daren, DERREN means "from Araines."
Girl/Female
Tamil
Hasmita | ஹஸà¯à®®à¯€à®¤à®¾Â
Popularity
Hasmita | ஹஸà¯à®®à¯€à®¤à®¾Â
Male
English
Variant spelling of English Jared, JERRED means "descent."
Boy/Male
Muslim
Popularity
Girl/Female
Indian
Popularity
Surname or Lastname
English
English : variant spelling of Searles.
Girl/Female
Tamil
Hasmitha | ஹஸà¯à®®à¯€à®¤à®¾Â
Popularity
Hasmitha | ஹஸà¯à®®à¯€à®¤à®¾Â
Girl/Female
Indian
Popularity
Male
English
English unisex name derived from the name of a perennial herb, "sorrel," from Old French surele, from Frankish *sur, SORREL means "sour."
Male
French
Older form of French Pierre, PIERRES means "rock, stone."
Male
Russian
Variant spelling of Russian Sergei, possibly SERGEJ means "sergeant."Â
Surname or Lastname
English (Surrey)
English (Surrey) : possibly a variant of Odell.
Girl/Female
Indian
Popularity
Female
English
English variant spelling of Latin Serena, SERRENA means "serene, tranquil."
Girl/Female
Indian
Popularity
Surname or Lastname
English (Surrey)
English (Surrey) : unexplained. Compare Copas, Copus.
Male
Russian
(Сергей) Russian form of Greek Sergios, possibly SERGEI means "sergeant."Â
Surname or Lastname
English (Surrey)
English (Surrey) : unexplained. Compare Moad.
SERRES MODULARITY-CONJECTURE
SERRES MODULARITY-CONJECTURE
Boy/Male
Tamil
Girl/Female
Bengali, Hindu, Indian, Marathi, Sanskrit, Sindhi, Tamil
God Gift; Divine Power
Boy/Male
Tamil
Generous, Eloquent
Male
Icelandic
Icelandic form of German Frideric, FRIÃRIK means "peaceful ruler."
Girl/Female
Indian, Punjabi, Sikh
Heroic Saviour
Girl/Female
Indian
Golden creeper, Golden wine
Boy/Male
German
Honest advisor.
Boy/Male
Tamil
Vivatma | விவாதà¯à®®à®¾
Universal soul
Boy/Male
Tamil
Nandagopal | நஂதகோபால
Lord Krishna fathers name
Girl/Female
Indian, Punjabi, Sikh
Belonging to the Enlightener
SERRES MODULARITY-CONJECTURE
SERRES MODULARITY-CONJECTURE
SERRES MODULARITY-CONJECTURE
SERRES MODULARITY-CONJECTURE
SERRES MODULARITY-CONJECTURE
n.
A number of things or events standing or succeeding in order, and connected by a like relation; sequence; order; course; a succession of things; as, a continuous series of calamitous events.
pl.
of Popularity
n.
One who serves.
n.
A small European evergreen oak (Quercus coccifera) on which the kermes insect (Coccus ilicis) feeds.
a.
Of or pertaining to serum; as, the serous glands, membranes, layers. See Serum.
n.
The quality or state of being popular; especially, the state of being esteemed by, or of being in favor with, the people at large; good will or favor proceeding from the people; as, the popularity of a law, statesman, or a book.
a. & adv.
Alt. of Ferrer
v. t.
To keep secret.
a.
Faithful to a secret; not inclined to divulge or betray confidence; secretive.
a.
Hidden; concealed; as, secret treasure; secret plans; a secret vow.
n.
To drive or hunt out of a lurking place, as a ferret does the cony; to search out by patient and sagacious efforts; -- often used with out; as, to ferret out a secret.
a.
Of a yellowish or redish brown color; as, a sorrel horse.
a.
Thin; watery; like serum; as the serous fluids.
n.
An indefinite number of terms succeeding one another, each of which is derived from one or more of the preceding by a fixed law, called the law of the series; as, an arithmetical series; a geometrical series.
n.
Facetiousness; jocularity.
a.
Serous.
n.
A secret.
n.
State of being current; currency; popularity.
a.
Secret; secretive; faithful to a secret.