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Topics referred to by the same term
Crelle may refer to: August Leopold Crelle (1780–1855), German mathematician Crelle's Journal, or simply Crelle, a mathematical journal named after August
Crelle
Academic journal
Crelle's Journal, or simply Crelle, is the common name for Journal für die reine und angewandte Mathematik ('Journal for Pure and Applied Mathematics')
Crelle's_Journal
German mathematician (1780–1855)
August Leopold Crelle (17 March 1780 – 6 October 1855) was a German mathematician. He was born in Eichwerder near Wriezen, Brandenburg, and died in Berlin
August_Leopold_Crelle
Sphere tangent to every edge of a polyhedron
has a midsphere. The tetrahedra that have a midsphere have been called "Crelle's tetrahedra"; they form a four-dimensional subfamily of the six-dimensional
Midsphere
French mathematician, physicist, and philosopher (1776–1831)
she had breast cancer. Despite the pain, she continued to work. In 1831 Crelle's Journal published her paper on the curvature of elastic surfaces and "a
Sophie_Germain
Norwegian mathematician (1802–1829)
April 1829, just two days before a letter arrived from August Crelle telling Abel that Crelle had secured him an appointment as a professor at the University
Niels_Henrik_Abel
Mathematical table
memorize the multiplication table up to 50 × 50. In 1897, August Leopold Crelle published Calculating tables giving the products of every two numbers from
Multiplication_table
Concept in algebraic geometry
die reine und angewandte Mathematik (Crelles Journal). 2022 (786): 55–77. arXiv:2007.14320. doi:10.1515/crelle-2022-0002. Retrieved 29 September 2025
Cubic_fourfold
Used to count, measure, and label
Heine, Eduard (14 December 2009). "Die Elemente der Functionenlehre". [Crelle's] Journal für die reine und angewandte Mathematik. 1872 (74): 172–188. doi:10
Number
German mathematician
angewandte Mathematik. 2007 (610): 71–123. arXiv:math/0603531. doi:10.1515/CRELLE.2007.068. S2CID 11948676. Thom, Andreas (1 April 2008). "L2-Cohomology for
Andreas_Thom_(mathematician)
Mathematician (1845–1918)
thesis; hence the name Cantor–Bernstein–Schröder theorem. Cantor's 1874 Crelle paper was the first to invoke the notion of 1-to-1 correspondence, though
Georg_Cantor
Conjecture on zeros of the zeta function
Reine Angew. Math., 2009 (631): 141–152, arXiv:0705.0723, doi:10.1515/CRELLE.2009.044, S2CID 16501321 Robin (1984). Lagarias, Jeffrey C. (2002), "An
Riemann_hypothesis
Number that is not a ratio of integers
theories of Karl Weierstrass (by his pupil Ernst Kossak), Eduard Heine (Crelle's Journal, 74), Georg Cantor (Annalen, 5), and Richard Dedekind. Méray had
Irrational_number
Swiss mathematician (1796–1863)
there, as in Heidelberg, by tutoring. Here he became acquainted with A. L. Crelle, who, encouraged by his ability and by that of Niels Henrik Abel, then also
Jakob_Steiner
German mathematician (1912–1992)
Zeitschrift 1950[link removed] Zahlentheorie der Quaternionenalgebren, Crelle J. vol. 195, 1955, with errata [1] Quaternäre quadratische Formen und die
Martin_Eichler
French mathematical journal (1810-31)
for many another editor. Cauchy, Poncelet, Brianchon, Steiner, Plücker, Crelle, Poisson, Ampere, Chasles, and Liouville sent articles for publication."
Annales_de_Gergonne
Mathematical symbol used for partial derivatives and other concepts
7–37. Carl Gustav Jacob Jacobi, "De determinantibus Functionalibus," Crelle's Journal 22 (1841), pp. 319–352. "The "curly d" was used in 1770 by Antoine-Nicolas
Partial_differential
German mathematician (1804–1851)
Fundamenta nova theoriae functionum ellipticarum (1829), and in later papers in Crelle's Journal. Theta functions are of great importance in mathematical physics
Carl_Gustav_Jacob_Jacobi
Partial differential equation
die reine und angewandte Mathematik (Crelles Journal). 2013 (683): 97–118. arXiv:1012.2941. doi:10.1515/crelle-2012-0004. ISSN 1435-5345. Gianniotis
Ricci_flow
German mathematician (1811–1874)
Many of Hesse's research findings were presented for the first time in Crelle's Journal or Hesse's textbooks. Hesse was born in Königsberg (today Kaliningrad)
Otto_Hesse
Number representing a continuous quantity
Zahlen" [On a property of the collection of all real algebraic numbers]. Crelle's Journal (in German). 77: 258–62. Dieudonné, Jean (1960). Foundations of
Real_number
Polyhedron with four faces
for Matematik (in Danish), 8 (A): 48, 1897, JSTOR 24528123, problem 266. Crelle, A. L. (1821). "Einige Bemerkungen über die dreiseitige Pyramide". Sammlung
Tetrahedron
Romanian Swedish mathematician
angewandte Mathematik. 2011 (650): 67–82. arXiv:0811.4374. doi:10.1515/crelle.2011.003. MR 2770556. S2CID 14323620. Borcea, Julius; Brändén, Petter (2010)
Julius_Borcea
In mathematics, invariant of square matrices
determinant which Sylvester later called the Jacobian. In his memoirs in Crelle's Journal for 1841 he specially treats this subject, as well as the class
Determinant
Relative distance of a point from a circle
"Einige geometrischen Betrachtungen" [Some geometric considerations]. Crelle's Journal (in German). 1: 161–184. doi:10.1515/crll.1826.1.161. S2CID 122065577
Power_of_a_point
Mathematical functions
les fonctions elliptiques" [Research on elliptic functions] (in French). Crelle's Journal. Part 1. 1827. 2 (2): 101–181. doi:10.1515/crll.1827.2.101. Part
Lemniscate_elliptic_functions
English mathematician and philosopher (1815–1864)
St-Pétersbourg for 1862 (under the name G. Boldt, vol. iv. pp. 198–215), and in Crelle's Journal. Also included is a paper on the mathematical basis of logic, published
George_Boole
of the fifth degree by radicals. Through his friendship with the editor Crelle, who encouraged him in his work, he wrote his masterpiece Recherches sur
Meanings of minor-planet names: 8001–9000
Meanings_of_minor-planet_names:_8001–9000
Person performing mathematical calculations, before electronic calculators
Weldon used logarithms and mathematical tables created by August Leopold Crelle and had no calculating machine. Karl Pearson, who had a lab at the University
Computer_(occupation)
German mathematician
theorem. Weber's research papers were numerous, most of them appearing in Crelle's Journal or Mathematische Annalen. He was the editor of Riemann's collected
Heinrich_Martin_Weber
Differential equation containing derivatives with respect to only one variable
and Control. pp. 1729–1733. doi:10.1109/CDC.1985.268832. S2CID 45426376. Crelle, 1866, 1868 Dresner (1999, p. 9) Logan, J. (2013). Applied mathematics (4th
Ordinary differential equation
Ordinary_differential_equation
German mathematician (1808–1878)
Bretschneider (1837). "Theoriae logarithmi integralis lineamenta nova". Crelle Journal, vol.17, p. 257-285 (submitted 1835) Biography portal Mathematics
Carl_Anton_Bretschneider
Change of variable for integrals involving trigonometric functions
(1832). "19. Note sur l'intégration de la fonction ∂z / (a + b cos z)". Crelle's Journal (in French). 9: 259–260. Legendre, Adrien-Marie (1817). Exercices
Tangent half-angle substitution
Tangent_half-angle_substitution
German mathematician (1826–1866)
functions. When Riemann's work appeared, Weierstrass withdrew his paper from Crelle's Journal and did not publish it. They had a good understanding when Riemann
Bernhard_Riemann
Triangle center; intersection of all three of a triangle's splitters
contributions to the study of this point were also made by August Leopold Crelle and Carl Gustav Jacob Jacobi. Mandart inellipse Trisected perimeter point
Nagel_point
He published his paper "Recherches sur les Fonctions elliptiques" in Crelle's Journal in 1827. It was the first work on elliptic functions that was actually
Abel_elliptic_functions
Canadian-American mathematician (born 1974)
algebraischen Zahlkörpern". Journal für die reine und angewandte Mathematik (Crelle's Journal). 1919 (149). Walter de Gruyter GmbH: 97–116. doi:10.1515/crll
Manjul_Bhargava
Infinite sum
scientific manner (see convergence of Fourier series). Dirichlet's treatment (Crelle, 1829), of trigonometric series was the subject of criticism and improvement
Series_(mathematics)
Complex-valued smooth functions of the upper half-plane (harmonic analysis topic)
reine und angewandte Mathematik. 694: 179–202. arXiv:1112.4726. doi:10.1515/crelle-2012-0102. MR 3259042. Bump, Daniel (1997). Automorphic Forms and Representations
Maass_wave_form
Mathematical set that can be enumerated
für die Reine und Angewandte Mathematik, 1878 (84): 242–248, doi:10.1515/crelle-1878-18788413, S2CID 123695365 Ferreirós, José (2007), Labyrinth of Thought:
Countable_set
Mathematical conjecture
und angewandte Mathematik (Crelle's Journal) (786). Walter de Gruyter (GmbH): 205–243. arXiv:2108.09258. doi:10.1515/crelle-2021-0084. A. M. Odlyzko, "The
Montgomery's pair correlation conjecture
Montgomery's_pair_correlation_conjecture
Form of a matrix
Arthur (1847). "Sur les determinants gauches" [On skew determinants]. Crelle's Journal. 38: 93–96. Reprinted in Cayley, A. (2009). "Sur les Déterminants
Skew-symmetric_matrix
Hebrew astronomer and mathematician (1810–1904)
which Jews were normally restricted. In 1844 he published a new formula in Crelle's Journal for calculating the Jewish calendar. In 1853 he invented a chemical
Hayyim_Selig_Slonimski
Formula for number of orbits of a group action
Congruenz nach einem aus zwei endlichen Gruppen gebildeten Doppelmodul", Crelle's Journal, 101 (4): 273–299, doi:10.3931/e-rara-18804. Cheng, Yuanyou (1986)
Burnside's_lemma
Conformal mapping in complex analysis
Abbildungsaufgaben". Journal für die reine und angewandte Mathematik (Crelles Journal). 1869 (70): 105–120. doi:10.1515/crll.1869.70.105. ISSN 0075-4102
Schwarz–Christoffel_mapping
German mathematician (1817–1880)
matrices, using determinants and Sturm functions. He was also an editor of Crelle's Journal from 1856 to 1880, during which time it was known as Borchardt's
Carl_Wilhelm_Borchardt
Kind of complex manifold
Jonathan; Daenzer, Calder (2008). "Mukai duality for gerbes with connection". Crelle's Journal. arXiv:0803.1529v2. - includes examples of gerbes on complex tori
Complex_torus
British mathematical physicist (1793–1841)
Green's Essay proved to be a sensation in France and was published in Crelle's Journal in three parts, in 1850, 1852, and 1854. By the turn of the century
George_Green_(mathematician)
French mathematician (born 1979)
die reine und angewandte Mathematik (Crelle's Journal). 2019 (748): 139–151. arXiv:1408.0461. doi:10.1515/crelle-2016-0048. ISSN 0075-4102. Sophie Morel
Sophie_Morel
Mathematical series
on 1826 Niels Henrik Abel discussed the subject in a paper published on Crelle's Journal, treating notably questions of convergence. Mathematics portal
Binomial_series
French number theorist
für die reine und angewandte Mathematik. 2016 (714): 175–208. doi:10.1515/crelle-2014-0025. Joseph Ayoub [in German] (2014). "Periods and the conjectures
Tanguy_Rivoal
angewandte Mathematik. 2020 (758): 253–260. arXiv:1703.08143. doi:10.1515/crelle-2017-0057. ISSN 1435-5345. Bruè, Elia; Naber, Aaron; Semola, Daniele (2023)
Milnor conjecture (Ricci curvature)
Milnor_conjecture_(Ricci_curvature)
Difference between logarithm and harmonic series
Anton (1837) [1835]. "Theoriae logarithmi integralis lineamenta nova". Crelle's Journal (in Latin). 17: 257–285. Havil, Julian (2003). Gamma: Exploring
Euler's_constant
French mathematician (1809–1882)
the Journal de Mathématiques Pures et Appliquées in 1836, basing it on Crelle's Journal. It soon became a leading mathematical periodical in France and
Joseph_Liouville
Italian mathematician (born c.1981)
für die Reine und Angewandte Mathematik (Crelles Journal) (755): 67–101. arXiv:1310.6326. doi:10.1515/crelle-2017-0017. "Curriculum Vitae: Valentino Tosatti"
Valentino_Tosatti
Norwegian mathematician (1842–1899)
published in 1869 by the Academy of Sciences in Christiania and also by Crelle's Journal. That same year he received a scholarship and travelled to Berlin
Sophus_Lie
Spanish mathematician
theorem for the Alperin–McKay conjecture". Journal für die reine und angewandte Mathematik (Crelle's Journal). 680: 153–189. doi:10.1515/crelle.2012.035.
Gabriel_Navarro_Ortega
British mathematician (born 1963)
angewandte Mathematik. 2007 (608): 155–182. arXiv:math/0511569. doi:10.1515/CRELLE.2007.056. ISSN 0075-4102. S2CID 2525037. Einsiedler, Manfred; Lind, Douglas;
Thomas_Ward_(mathematician)
Fontaine-Mazur conjecture". Journal für die reine und angewandte Mathematik (Crelle's Journal). 2004 (577). arXiv:math/0304433. Bibcode:2003math......4433D.
Fontaine–Mazur_conjecture
English mathematician (1858 – 1936)
specimens. With no calculating machines available, she used logarithms and Crelle tables. One study involved taking twenty-three measurements each from a
Florence_Weldon
Mathematical operation
gelehrte Anzeigen 1831, section 108) 1840 Gauss' book review is reprinted in Crelle's Journal 1850 Hermite laying the groundwork for lattice reduction in higher
Lattice_reduction
cobordism", J. Reine Angew. Math., 656: 59–85, arXiv:0903.3936, doi:10.1515/CRELLE.2011.043, MR 2818856 Levine, M (2002), "Algebraic cobordism", in Li, Tatsien
Algebraic_cobordism
American Mathematical Society Communications on Pure and Applied Mathematics Crelle's Journal Duke Mathematical Journal Inventiones Mathematicae Israel Journal
List_of_scientific_journals
Scottish-born mathematician and science fiction writer
numbers of representations of odd integers as sums of 4t + 2 squares". In: Crelles Journal 163, 1930, pp. 65–70 "Exponential numbers". In: The American Mathematical
Eric_Temple_Bell
Upper bound on the volume of a convex body containing one lattice point
und angewandte Mathematik, 2014 (691): 1–24, arXiv:1204.1308, doi:10.1515/crelle-2014-0069. Ehrhart, Eugene (1967), "Sur un problème de géométrie diophantienne"
Ehrhart's_volume_conjecture
German mathematician (1849–1925)
Clebsch, it grew under Klein's management, to rival, and eventually surpass Crelle's Journal, based at the University of Berlin. Klein established a small team
Felix_Klein
'Best' approximation of a function by a rational function of given order
Näherungsbrüchen von Potenzreihen", Journal für die reine und angewandte Mathematik (Crelle's Journal) (90): 1–17. Gragg, W. B. (1972), "The Pade Table and Its Relation
Padé_approximant
Italian mathematician
elliptic systems" in Journal fuer die Reine und Angewandte Mathematik (Crelles J.), 311/312 (1979), pp145-169 M. Giaquinta, "Multiple integrals in the
Mariano_Giaquinta
First article on transfinite set theory
Crelle's Journal, had delayed publication of an 1870 article by Eduard Heine, one of Cantor's colleagues. Cantor would submit his article to Crelle's
Cantor's first set theory article
Cantor's_first_set_theory_article
Swiss mathematician (1885–1970)
1919, S. 1-6. Naturphilosophische Untersuchungen von Euler und Riemann. Crelle Journal Bd. 157, 1927, S.105-114. Zahlentheorie in rationalen Algebren.
Andreas_Speiser
German mathematician (1812–1847)
mathematicians, excepting August Leopold Crelle. After his death some of his works were published in Crelle's Journal. O'Connor, John J.; Robertson, Edmund
Adolph_Göpel
Algorithm for counting perfect matchings in planar graphs
Arthur (1847). "Sur les determinants gauches" [On skew determinants]. Crelle's Journal. 38: 93–96. Vazirani, Vijay V. (1989). "NC algorithms for computing
FKT_algorithm
Non-abelian group of order eight
Werk II 376–84 Ernst Witt (1936) "Konstruktion von galoisschen Körpern..."Crelle's Journal 174: 237-45 Some authors (e.g., Rotman 1995, pp. 87, 351) refer
Quaternion_group
Derivation of the laws of probability theory
symmetrische Function von z, x und y ist.", Jour. Reine u. angew. Math. (Crelle's Jour.), 1, 11–15, (1826). János Aczél, Lectures on Functional Equations
Cox's_theorem
Motion of a curve based on its curvature
Angewandte Mathematik, 2011 (653): 179–187, arXiv:0908.2682, doi:10.1515/CRELLE.2011.026, MR 2794630. Angenent, Sigurd (1991a), "Parabolic equations for
Curve-shortening_flow
Chinese-American mathematician (born 1982)
angewandte Mathematik. 2014 (694): 27–48. arXiv:1107.2175. doi:10.1515/crelle-2012-0093. S2CID 5317997. Yun, Zhiwei (2014). "Motives with exceptional
Zhiwei_Yun
German mathematician
in 1858 at Breslau. Joachimsthal, who was Jewish, contributed essays to Crelle's Journal, 1846, 1850, 1854, 1861, and to Olry Terquem's Nouvelles Annales
Ferdinand_Joachimsthal
German mathematician and physicist (1829–1900)
equivalence problem for differential forms in n variables, published in Crelle's Journal, he introduced the fundamental technique later called covariant
Elwin_Bruno_Christoffel
Swiss mathematician
reine und angewandte Mathematik. 2013 (685). arXiv:1110.1908. doi:10.1515/crelle-2012-0007. ISSN 0075-4102. S2CID 119138713. Habegger, P.; Pila, J. (2012)
Philipp_Habegger
und angewandte Mathematik. 2013 (676): 1–32. arXiv:0812.1525. doi:10.1515/CRELLE.2011.190. ISSN 1435-5345. S2CID 18101385. Hida, H.; Tilouine, J. (1994)
Jacques_Tilouine
Sufficient condition for polynomial irreducibility
Schönemann was the first to publish a version of the criterion, in 1846 in Crelle's Journal, which reads in translation That (x − a)n + pF(x) will be irreducible
Eisenstein's_criterion
Subbundle of the tangent bundle
die reine und angewandte Mathematik (Crelle's Journal). 2009 (626): 1–37. arXiv:math/0612370. doi:10.1515/CRELLE.2009.001. ISSN 1435-5345. S2CID 14450917
Distribution (differential geometry)
Distribution_(differential_geometry)
of n". Journal für die Reine und Angewandte Mathematik. 2008 (624): 133–142. doi:10.1515/CRELLE.2008.083. ISSN 1435-5345. S2CID 123142859. v t e v t e
Spt_function
Geometry problem about finding touching circles
für die reine und angewandte Mathematik. 1848 (37): 51–57. doi:10.1515/crelle-1848-18483704. S2CID 201061558. Coaklay GW (1859–1860). "Analytical Solutions
Problem_of_Apollonius
Chinese mathematician
Reine und Angewandte Mathematik. 662: 1–56. arXiv:1009.4405. doi:10.1515/CRELLE.2011.133. S2CID 119605192. Ling, Xin (2024-11-14). "Award-winning mathematician
Xiaonan_Ma
Conditions in number theory
die reine und angewandte Mathematik (Crelle's Journal), 1844 (28), J. Reine Angew. Math. 28, pp. 53–67 (Crelle's Journal): 53–67, doi:10.1515/crll.1844
Quartic_reciprocity
American mathematician
Journal für die reine und angewandte Mathematik (Crelles Journal) 686. https://doi.org/10.1515/crelle-2012-0094 Sormani, Christina, & Wenger, Stefan. (2011)
Christina_Sormani
Characteristic subgroup of a profinite group
angewandte Mathematik. 2016 (712): 123–139. arXiv:1203.4217. doi:10.1515/crelle-2013-0116. Fried, Michael D.; Jarden, Moshe (2023). Field Arithmetic. Ergebnisse
Melnikov_group
Comptes Rendus Mathématique Computing Constructive Approximation COSMOS Crelle's Journal (Journal fuer die Reine und Angewandte Mathematik) Differential
List_of_mathematics_journals
French banker and mathematician (1795–1851)
Arthur Cayley (1846) "Sur Quelques Proprietes des Determinants Gauches", Crelle's Journal 32: 119–23, and Collected Mathematical Papers of Arthur Cayley
Olinde_Rodrigues
Measure of the size of the ring of integers
coefficients entiers complexes d'un degré et d'un discriminant donnés", Crelle's Journal, 1857 (53): 182–192, doi:10.1515/crll.1857.53.182, S2CID 120694650
Discriminant of an algebraic number field
Discriminant_of_an_algebraic_number_field
Theorem on finite linear groups
groups". J. Reine Angew. Math. 624: 143–171. arXiv:0709.3245. doi:10.1515/CRELLE.2008.084. Larsen, Michael J.; Pink, Richard (2011). "Finite subgroups of
Jordan–Schur_theorem
On finding a maximal set of solutions of a system of first-order homogeneous linear PDEs
Integration linearer partieller Differentialgleichungen". J. Reine. Angew. Math. (Crelle). 1866 (65): 257–268. doi:10.1515/crll.1866.65.257. S2CID 122439486. Deahna
Frobenius theorem (differential topology)
Frobenius_theorem_(differential_topology)
Decomposition in multilinear algebra
J. Reine Angew. Math. 2019 (753): 1–22. arXiv:1501.00090. doi:10.1515/crelle-2016-0067. S2CID 16324593. Bocci, Cristiano; Chiantini, Luca (2013). "On
Tensor_rank_decomposition
Mathematical concept named for Ernst Witt
Funktionenkörper vom Grad pn über endlichen Konstantenkörper der Charakteristik p, Crelle 175 (1936). Illusie, Luc (1979). "Complexe de de Rham-Witt et cohomologie
Witt_vector
1920s books on mathematical history by Felix Klein
"The Founding of Crelle's Journal and the Rise of Pure Mathematics in Germany" is concerned with mathematicians connected to Crelle's Journal (the analysts
Vorlesungen über die Entwicklung der Mathematik im 19. Jahrhundert
Vorlesungen_über_die_Entwicklung_der_Mathematik_im_19._Jahrhundert
Theorem in algebraic geometry
die reine und angewandte Mathematik (Crelle's Journal). 2015 (702): 109–142. arXiv:1210.0421. doi:10.1515/crelle-2013-0031. S2CID 119627680. Greb, Daniel;
Bogomolov–Sommese vanishing theorem
Bogomolov–Sommese_vanishing_theorem
Israeli mathematician
An injective rational map of an abstract algebraic variety into itself, Crelle Journal 265 (1974), 23-30. Gerhard Frey and Moshe Jarden, Approximation
Moshe_Jarden
German mathematician (1823–1852)
financial needs. During this period, Eisenstein published numerous papers in Crelle's Journal, including two proofs of the law of quartic reciprocity and analogous
Gotthold_Eisenstein
Numerical linear algebra algorithm
Theorie der Säkularstörungen vorkommenden Gleichungen numerisch aufzulösen". Crelle's Journal (in German). 1846 (30): 51–94. doi:10.1515/crll.1846.30.51. S2CID 199546177
Jacobi_eigenvalue_algorithm
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