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Mathematical function
weakly holomorphic modular form is similar to a holomorphic modular form, except that it is allowed to have poles at cusps. Examples include modular functions
Weakly holomorphic modular form
Weakly_holomorphic_modular_form
Complex-differentiable part of a Maass wave function
mathematics, a mock modular form is the holomorphic part of a harmonic weak Maass form, and a mock theta function is essentially a mock modular form of weight 1/2
Mock_modular_form
Analytic function on the upper half-plane with a certain behavior under the modular group
topology, sphere packing, and string theory. More precisely, a modular form is a holomorphic function on the complex upper half-plane that roughly satisfies
Modular_form
Mathematical function
{\displaystyle k} to the space M 2 − k ! {\displaystyle M_{2-k}^{!}} of weakly holomorphic modular forms of weight 2 − k . {\displaystyle 2-k.} It was proved by Bruinier
Harmonic_Maass_form
Mathematical function
Mk′(Γ0(N)) is spanned by (weakly holomorphic) eta quotients, and Mk′−k(Γ0(N)) contains an eta quotient ηg. Take a modular form f with weight k that is not
Dedekind_eta_function
Complex-valued smooth functions of the upper half plane (harmonic analysis topic)
domain of Γ {\displaystyle \Gamma } . In contrast to modular forms, Maass forms need not be holomorphic. They were studied first by Hans Maass in 1949. The
Maass_wave_form
Type of mathematical functions
complex analysis of functions of one variable the functions studied are holomorphic or complex analytic so that, locally, they are power series in the variables
Function of several complex variables
Function_of_several_complex_variables
Mathematical concept
representation ρ: GR → GL(V), the family (V, ρ ⋅ h) is a holomorphic family of Hodge structures; moreover, it forms a variation of Hodge structure, and X is a finite
Shimura_variety
Zeta-like functions approximate arbitrary holomorphic functions
as the Dirichlet L-functions) to approximate arbitrary non-vanishing holomorphic functions arbitrarily well. The universality of the Riemann zeta function
Zeta_function_universality
Indian mathematician (1887–1920)
functions were a mystery, but they have become known as the holomorphic parts of harmonic weak Maass forms. Although there are numerous statements that could have
Srinivasa_Ramanujan
Theory in supersymmetric gauge theory
Lagrangians of supersymmetric gauge theories are largely determined by their holomorphic (really, meromorphic) properties and their behavior near the singularities
Seiberg–Witten_theory
Integral transform useful in probability theory, physics, and engineering
is analytic. In its most general form, the Laplace transform gives a one-to-one correspondence between the holomorphic functions which, for some σ ∈
Laplace_transform
Algebra used in 2D conformal field theories and string theory
were not initially known. Physically, the vertex operators arising from holomorphic field insertions at points in two-dimensional conformal field theory
Vertex_operator_algebra
Algebraic structure with addition, multiplication, and division
one considers the algebra of holomorphic functions, i.e., complex-valued differentiable functions. Their ratios form the field of meromorphic functions
Field_(mathematics)
Mathematics award
with James Newton, of the automorphy of all symmetric powers of a holomorphic modular newform." Jacob Tsimerman – "For outstanding work in analytic number
Breakthrough Prize in Mathematics
Breakthrough_Prize_in_Mathematics
the universe is non-Euclidean. Fermat conjectured that all numbers of the form 2 2 m + 1 {\displaystyle 2^{2^{m}}+1} (known as Fermat numbers) were prime
List_of_conjectures
History of maths
underlying structure of a TQFT is a modular category of representations of a quantum group 1986 Saunders Mac Lane Mathematics, form and function (a foundation
Timeline of category theory and related mathematics
Timeline_of_category_theory_and_related_mathematics
Awarded every year by the American Mathematical Society
ISBN 978-3-662-57264-1. McDuff, Dusa; Salamon, Dietmar (2012) [2004]. J-holomorphic Curves and Symplectic Topology. Colloquium Publications. Vol. 52 (2nd ed
Leroy_P._Steele_Prize
Series of mathematics textbooks
2nd ed., ISBN 978-0-387-97245-9) Introduction to Elliptic Curves and Modular Forms, Neal I. Koblitz (1993, 2nd ed., ISBN 978-0-387-97966-3) Representations
Graduate_Texts_in_Mathematics
Symmetry between bosons and fermions
complex fields satisfying a property known as holomorphy, which allows holomorphic quantities to be exactly computed. This makes supersymmetric models useful
Supersymmetry
of forms. Fujita conjecture regarding the line bundle K M ⊗ L ⊗ m {\displaystyle K_{M}\otimes L^{\otimes m}} constructed from a positive holomorphic line
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
morphisms, and a well-defined subcategory of analytic geometry objects and holomorphic mappings. Armand Borel, Jean-Pierre Serre (1958) Borel and Serre's exposition
List of publications in mathematics
List_of_publications_in_mathematics
Theorem on operator interpolation
{\displaystyle z\mapsto \int (T_{z}f)g\,d\mu _{2}} is continuous on S and holomorphic on S for all simple functions f and g. For some constant k < π, the
Riesz–Thorin_theorem
Representation theory
compact support are precisely functions on R which are restrictions of holomorphic functions on C satisfying an exponential growth condition | F ( λ ) |
Plancherel theorem for spherical functions
Plancherel_theorem_for_spherical_functions
dimensional vector space over the field. 4. Zariski's main lemma on holomorphic functions says the n-th symbolic power of a prime ideal in a polynomial
Glossary of commutative algebra
Glossary_of_commutative_algebra
WEAKLY HOLOMORPHIC-MODULAR-FORM
WEAKLY HOLOMORPHIC-MODULAR-FORM
Surname or Lastname
English
English : variant of Weekley.
Surname or Lastname
English
English : variant spelling of Weekley.
Surname or Lastname
English
English : variant of Week.
Surname or Lastname
English
English : variant spelling of Wakeley.
Surname or Lastname
Americanized form of Geman Wehry.English
Americanized form of Geman Wehry.English : nickname from Middle English wery ‘wicked’, ‘acursed’ (from Old English wearg).
Surname or Lastname
English
English : unexplained.South German : variant of Walli, from a short form of any Germanic personal name formed with Old High German waltan ‘to rule’ as a first part, as in Walter.
Girl/Female
Greek, Hindu, Indian
Form of Pearl; A Gem of the Sea
Boy/Male
Indian
Love
Surname or Lastname
English
English : variant spelling of Sealey.Welsh : from the personal name Selyf or Selau, medieval Welsh vernacular forms of Solomon.Irish : probably a variant of Shealy (in counties Kerry and Cork); in other areas it is of English or Welsh origin, as in 1 and 2.
Boy/Male
British, English
From the Wheat Field
Surname or Lastname
English
English : variant of Wakeley.
Surname or Lastname
English
English : habitational name from a place in Northamptonshire called Weekley, from Old English wīc ‘settlement’, perhaps in this case a Roman settlement, Latin vicus + lēah ‘wood’, ‘clearing’.
Boy/Male
British, English
Heather Meadow
Surname or Lastname
English (Somerset)
English (Somerset) : unexplained. Compare Lukey.
Girl/Female
Hindu
Pearl Pearly just similar to Pearl
Boy/Male
British, English
From the Weaver's Meadow
Surname or Lastname
English
English : variant spelling of Weekley.
Boy/Male
British, English
From the Damp Meadow
Boy/Male
Gaelic
Manly.
Surname or Lastname
Irish
Irish : translation of Gaelic Ó Mocháin (see Mohan; Gaelic moch means ‘early’ or ‘timely’), or of some other similar surname, for example Ó Mochóir, a shortened form of Ó Mochéirghe, Ó Maoil-Mhochéirghe, from a personal name meaning ‘early rising’.English : habitational name from any of various places, such as Earley in Berkshire and Arley in Cheshire, Lancashire, Warwickshire, and Worcestershire, which derive their names from Old English earn ‘eagle’ + lēah ‘woodland clearing’.English : nickname from Old English eorllīc ‘manly’, ‘noble’, a derivative of eorl (see Earl).Americanized spelling of German Ehrle.
WEAKLY HOLOMORPHIC-MODULAR-FORM
WEAKLY HOLOMORPHIC-MODULAR-FORM
Male
Scottish
Variant form of Scottish Dùghall, DUGALD means "black stranger."
Surname or Lastname
English
English : variant spelling of Foulks.
Boy/Male
Muslim
Slave of the healer
Male
Chinese
genial speaker.
Boy/Male
British, English, Hebrew
The Lord is My God
Boy/Male
Hindu, Indian, Marathi
Similar; Like
Girl/Female
Indian
Exalted
Boy/Male
Australian, Iranian, Parsi
A Character in Shahnameh; Feraydoon's Father; Reached; Full; Complete; Fit
Boy/Male
Arabic, Hindu, Indian, Muslim
Shining
Girl/Female
Tamil
Attuned to nature
WEAKLY HOLOMORPHIC-MODULAR-FORM
WEAKLY HOLOMORPHIC-MODULAR-FORM
WEAKLY HOLOMORPHIC-MODULAR-FORM
WEAKLY HOLOMORPHIC-MODULAR-FORM
WEAKLY HOLOMORPHIC-MODULAR-FORM
n.
A popular or jocular name for a drinking vessel.
adv.
Early.
a.
Neatly; dexterously; nimbly.
superl.
Not strong of constitution; infirm; feeble; as, a weakly woman; a man of a weakly constitution.
a.
Of or pertaining to a week, or week days; as, weekly labor.
a.
Coming, happening, or done once a week; hebdomadary; as, a weekly payment; a weekly gazette.
n.
To model; also, to modulate.
a.
Prevailing among the people; epidemic; as, a popular disease.
pl.
of Modulus
a.
Of or pertaining to the common people, or to the whole body of the people, as distinguished from a select portion; as, the popular voice; popular elections.
adv.
In a weak manner; with little strength or vigor; feebly.
a.
Beloved or approved by the people; pleasing to people in general, or to many people; as, a popular preacher; a popular law; a popular administration.
a.
To make or become weak; to weaken.
a.
Of or pertaining to mode, modulation, module, or modius; as, modular arrangement; modular accent; modular measure.
pl.
of Morula
a.
Relating or belonging to an ovule; as, an ovular growth.
a.
Adapted to the means of the common people; possessed or obtainable by the many; hence, cheap; common; ordinary; inferior; as, popular prices; popular amusements.
adv.
Once a week; by hebdomadal periods; as, each performs service weekly.
a.
Given to jesting; jocose; as, a jocular person.
a.
Of, pertaining to, or characterized by, trimorphism; -- contrasted with monomorphic, dimorphic, and polymorphic.