Výsledky vyhledávání - "Modular and automorphic functions"

Construction and non-vanishing of a family of vector-valued Siegel Poincaré series

Autoři: Sonja Žunar

Zdroj: Journal of Number Theory. 268:95-123

Témata: 11F03, 11F46, Mathematics - Number Theory, Siegel modular groups, Siegel and Hilbert-Siegel modular and automorphic forms, Poincaré series, Siegel cusp forms, Modular and automorphic functions, vector-valued Siegel modular forms, Siegel Poincaré series, cuspidal automorphic forms, FOS: Mathematics, non-vanishing of Poincaré series, Number Theory (math.NT), Representation Theory (math.RT), Mathematics - Representation Theory

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2405.02966
https://zbmath.org/7956624
https://doi.org/10.1016/j.jnt.2024.09.007

Quantum Drinfeld modules and ray class fields of real quadratic global function fields

Autoři: L. Demangos T. M. Gendron

Zdroj: Research in the Mathematical Sciences. 12

Témata: Modular and automorphic functions, quantum Drinfeld module, Arithmetic theory of algebraic function fields, function field arithmetic, Mathematics - Number Theory, Totally real fields, FOS: Mathematics, ray class field, Diophantine approximation in probabilistic number theory, Number Theory (math.NT), 0101 mathematics, Class field theory, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/1709.05337
https://zbmath.org/8037122
https://doi.org/10.1007/s40687-025-00515-9

Traces of partition Eisenstein series and almost holomorphic modular forms

Autoři: Kathrin Bringmann Badri Vishal Pandey

Zdroj: Res Number Theory

Témata: Modular and automorphic functions, Eisenstein series, Mathematics - Number Theory, quasimodular forms, Research, 11F37, Arithmetic functions, related numbers, inversion formulas, Jacobi forms, FOS: Mathematics, modular forms, Number Theory (math.NT), Holomorphic modular forms of integral weight

Popis souboru: application/xml

Přístupová URL adresa: https://pubmed.ncbi.nlm.nih.gov/40292019
http://arxiv.org/abs/2410.04892
https://zbmath.org/8034692
https://doi.org/10.1007/s40993-025-00615-z

Modular Exercises for Four-Point Blocks - I: Modular exercises for four-point blocks. I

Autoři: Cheng, Miranda C. N. Gannon, Terry Lockhart, Guglielmo

Zdroj: Symmetry, Integrability and Geometry: Methods and Applications.

Témata: High Energy Physics - Theory, Mathematics - Number Theory, FOS: Physical sciences, conformal field theory, 01 natural sciences, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Modular and automorphic functions, High Energy Physics - Theory (hep-th), Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), vertex operator algebras, Number Theory (math.NT), 0101 mathematics, Vertex operators, vertex operator algebras and related structures, modularity

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2002.11125
https://zbmath.org/8027881
https://doi.org/10.3842/sigma.2025.013

KRONECKER LIMIT FUNCTIONS AND AN EXTENSION OF THE ROHRLICH–JENSEN FORMULA: Kronecker limit functions and an extension of the Rohrlich-Jensen formula

Autoři: JAMES W. COGDELL JAY JORGENSON LEJLA SMAJLOVIĆ

Zdroj: Nagoya Mathematical Journal. 252:810-841

Témata: Rohrlich-Jensen formula, Modular and automorphic functions, Kronecker limit formula, Mathematics - Number Theory, automorphic Green's function, FOS: Mathematics, Dirichlet series, exponential series and other series in one complex variable, Automorphic forms, one variable, Number Theory (math.NT), 0101 mathematics, 01 natural sciences, Niebur-Poincaré series

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2101.09599
https://zbmath.org/7760551
https://doi.org/10.1017/nmj.2023.7

Divisibility properties of the Fourier coefficients of (mock) modular functions and Ramanujan

Autoři: Soon-Yi Kang

Zdroj: Monographs in Number Theory ISBN: 9789811277368

Témata: Modular and automorphic functions, modular functions, Hecke operators, Mathematics - Number Theory, congruences, FOS: Mathematics, 11F03, 11F12, 11F25, 11F30, 11F33, Number Theory (math.NT), 0101 mathematics, 16. Peace & justice, mock modular forms, 01 natural sciences, Forms of half-integer weight, nonholomorphic modular forms

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/pdf/2001.05686
http://arxiv.org/abs/2001.05686
https://zbmath.org/7354708
https://doi.org/10.1142/s1793042120400333
https://www.worldscientific.com/doi/abs/10.1142/S1793042120400333

Difference of a Hauptmodul for Γ0(N) and certain Gross-Zagier type CM value formulas: Difference of a hauptmodul for \(\Gamma_0 (N)\) and certain Gross-Zagier type CM value formulas

Autoři: Dongxi Ye

Zdroj: Science China Mathematics. 65:221-258

Témata: Mathematics - Number Theory, monster denominator formula, 4. Education, Gross-Zagier CM value formula, Complex multiplication and moduli of abelian varieties, Automorphic forms on \(\mbox{GL}(2)\), Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms, Hilbert modular surfaces, modular forms for Weil representation, 16. Peace & justice, 01 natural sciences, Modular and Shimura varieties, Modular and automorphic functions, Borcherds product, 11F03, 11F11, 11F27, 11F41, 11G15, 11G18, FOS: Mathematics, Theta series, Weil representation, theta correspondences, Number Theory (math.NT), 0101 mathematics, Arithmetic aspects of modular and Shimura varieties

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/1708.08783
https://zbmath.org/7484061
https://doi.org/10.1007/s11425-019-1830-3
https://link.springer.com/article/10.1007/s11425-019-1830-3

The u-plane integral, mock modularity and enumerative geometry: The \(u\)-plane integral, mock modularity and enumerative geometry

Autoři: Johannes Aspman Elias Furrer Georgios Korpas a další

Zdroj: Letters in Mathematical Physics. 112

Témata: High Energy Physics - Theory, Mathematics - Differential Geometry, Mathematics - Number Theory, FOS: Physical sciences, modular forms, Topological quantum field theories (aspects of differential topology), sigma models, Modular and automorphic functions, Mathematics - Algebraic Geometry, topological field theory, High Energy Physics - Theory (hep-th), Differential Geometry (math.DG), Gromov-Witten invariants, quantum cohomology, Frobenius manifolds, FOS: Mathematics, Number Theory (math.NT), Topological field theories in quantum mechanics, supersymmetric gauge theory, Algebraic Geometry (math.AG)

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2109.04302
https://zbmath.org/7502551
https://doi.org/10.1007/s11005-022-01520-7

On the Petersson Norm of Certain Siegel Modular Forms: On the Petersson norm of certain Siegel modular forms

Autoři: Choie, YJ Kohnen, W 수학과

Přispěvatelé: Choie, YJ Kohnen, W 수학과

Zdroj: Developments in Mathematics ISBN: 9781441953957

Témata: Modular and automorphic functions, Langlands \(L\)-functions, one variable Dirichlet series and functional equations, Hecke-Petersson operators, differential operators (several variables), Siegel modular form, ZETA-FUNCTIONS, Hecke-Petersson operators, differential operators (one variable), WEIGHT, SERIES, Ikeda lift, Petersson norm, CRITICAL-VALUES

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2022016
https://doi.org/10.1023/a:1026270423149
https://link.springer.com/content/pdf/10.1007%2F978-1-4757-6044-6_4.pdf
https://rd.springer.com/chapter/10.1007/978-1-4757-6044-6_4
https://link.springer.com/chapter/10.1007/978-1-4757-6044-6_4

Singular values of principal moduli

Autoři: Koo J.K Shin D.H

Zdroj: Journal of Number Theory. 133:475-483

Témata: Modular and automorphic functions, Algebra and Number Theory, Mathematics - Number Theory, FOS: Mathematics, Complex multiplication, Number Theory (math.NT), 0101 mathematics, Class field theory, 01 natural sciences, 11G15, 11F03, 11R37

Přístupová URL adresa: http://arxiv.org/abs/1102.1174
https://koasas.kaist.ac.kr/handle/10203/103415
https://www.sciencedirect.com/science/article/pii/S0022314X12002521
https://www.arxiv-vanity.com/papers/1102.1174/
https://core.ac.uk/display/82523842

An Infinite Product Formula for the Elliptic Modular Function λ(τ): An infinite product formula for the elliptic modular function \(\lambda (\tau )\)

Autoři: Masaaki Yoshida

Zdroj: The Ramanujan Journal. 10:341-382

Témata: Modular and automorphic functions, hypergeometric equation, infinite product, Lambda function, Theta series, Weil representation, theta correspondences, 0101 mathematics, Schottky group, 01 natural sciences, automorphic function, monodromy group

Popis souboru: application/xml

Přístupová URL adresa: https://link.springer.com/article/10.1007/s11139-005-4854-x
https://link.springer.com/content/pdf/10.1007/s11139-005-4854-x.pdf
https://rd.springer.com/article/10.1007/s11139-005-4854-x

More on super-replication formulae

Autoři: Kim, CH Koo, JK Koo, JaKyung

Zdroj: Journal of Algebra. 290:295-321

Témata: 0301 basic medicine, Algebra and Number Theory, Mathematics - Number Theory, 11F22, 01 natural sciences, Relationship to Lie algebras and finite simple groups, Modular and automorphic functions, 03 medical and health sciences, 11F03, FOS: Mathematics, Infinite-dimensional Lie (super)algebras, Number Theory (math.NT), 0101 mathematics

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/math/0411131
https://core.ac.uk/display/82534640
https://www.sciencedirect.com/science/article/abs/pii/S0021869305002814
https://www.sciencedirect.com/science/article/pii/S0021869305002814
https://link.springer.com/article/10.1007%2Fs11139-010-9234-5

Deformations of Maass forms

Autoři: David W. Farmer Stefan Lemurell

Zdroj: Mathematics of Computation. 74:1967-1983

Témata: Mathematics - Number Theory, Spectral theory, trace formulas (e.g., that of Selberg), 11F30, 11F03, 01 natural sciences, Mathematics - Spectral Theory, Modular and automorphic functions, Fourier coefficients of automorphic forms, Maaß\ form, FOS: Mathematics, eigenvalue, Number Theory (math.NT), 0101 mathematics, Spectral Theory (math.SP), cusp form, Phillips-Sarnak conjecture

Popis souboru: application/xml

Přístupová URL adresa: https://www.ams.org/mcom/2005-74-252/S0025-5718-05-01746-1/S0025-5718-05-01746-1.pdf
http://arxiv.org/abs/math/0302214
https://zbmath.org/2203628
https://doi.org/10.1090/s0025-5718-05-01746-1

The distribution of values of the Poincaré pairing for hyperbolic Riemann surfaces

Autoři: Risager, Morten S. Petridis, Yiannis N.

Zdroj: Petridis, Y N & Risager, M S 2005, 'The distribution of values of the Poincare pairing for hyperbolic Riemann surfaces', Journal fuer die Reine und Angewandte Mathematik, vol. 579, pp. 159-173.

Témata: Mathematics - Number Theory, Spectral theory, trace formulas (e.g., that of Selberg), Poincaré pairing, 11F67, Metric Geometry (math.MG), hyperbolic Riemann surface, Selberg zeta function, 01 natural sciences, 11F72, 11M36, Modular and automorphic functions, Mathematics - Metric Geometry, automorphic Laplacian, FOS: Mathematics, eigenvalue problems on manifolds, Number Theory (math.NT), 0101 mathematics

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/pdf/math/0311010
http://arxiv.org/abs/math/0311010
https://www.degruyter.com/view/j/crll.2005.2005.issue-579/crll.2005.2005.579.159/crll.2005.2005.579.159.xml
https://pure.au.dk/portal/en/publications/d5474250-8f34-11db-bee9-02004c4f4f50

Even powers of divisors and elliptic zeta values

Autoři: Alexander Varchenko Giovanni Felder

Zdroj: Journal für die reine und angewandte Mathematik (Crelles Journal). 2005:195-201

Témata: Riemann zeta function at positive integers, elliptic gamma function, Eisenstein series, sums of powers of divisors, Mathematics - Number Theory, 11F11, 33E30, 16. Peace & justice, 01 natural sciences, Modular and automorphic functions, \(\zeta (s)\) and \(L(s, \chi)\), Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), Number Theory (math.NT), 0101 mathematics

Popis souboru: application/xml

Přístupová URL adresa: https://www.research-collection.ethz.ch/bitstream/20.500.11850/33558/2/crll.2005.2005.579.195.pdf
http://arxiv.org/abs/math/0205116
https://zbmath.org/2143152
https://doi.org/10.1515/crll.2005.2005.579.195
https://arxiv.org/pdf/math/0205116v2
https://arxiv.org/abs/math/0205116
https://core.ac.uk/display/21986152
http://ui.adsabs.harvard.edu/abs/2002math......5116F/abstract
https://www.degruyter.com/view/j/crll.2005.2005.issue-579/crll.2005.2005.579.195/crll.2005.2005.579.195.xml
https://uncch.pure.elsevier.com/en/publications/even-powers-of-divisors-and-elliptic-zeta-values
http://doc.rero.ch/record/302579/files/crll.2005.2005.579.195.pdf

A simple proof of the modular identity for theta series

Autoři: Young-Ju Choie Yuichiro Taguchi 수학과 a další

Přispěvatelé: Young-Ju Choie Yuichiro Taguchi 수학과 a další

Zdroj: Proceedings of the American Mathematical Society. 133:1935-1939

Témata: modular identity, Modular and automorphic functions, theta series, Theta series, Weil representation, theta correspondences

Popis souboru: application/xml

Přístupová URL adresa: https://www.ams.org/proc/2005-133-07/S0002-9939-05-07723-3/S0002-9939-05-07723-3.pdf
https://zbmath.org/2150830
https://doi.org/10.1090/s0002-9939-05-07723-3
https://www.ams.org/journals/proc/2005-133-07/S0002-9939-05-07723-3/home.html
https://dialnet.unirioja.es/servlet/articulo?codigo=1244699
http://www2.math.kyushu-u.ac.jp/~taguchi/bib/theta-final.pdf
https://documat.unirioja.es/servlet/articulo?codigo=1244699
https://www.ams.org/proc/2005-133-07/S0002-9939-05-07723-3/S0002-9939-05-07723-3.pdf

Continued fractions and modular functions

Autoři: William Duke

Zdroj: Bulletin of the American Mathematical Society. 42:137-163

Témata: Modular and automorphic functions, Basic hypergeometric functions in one variable, \({}_r\phi_s\), Continued fractions, 0101 mathematics, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://www.ams.org/bull/2005-42-02/S0273-0979-05-01047-5/S0273-0979-05-01047-5.pdf
https://zbmath.org/2150884
https://doi.org/10.1090/s0273-0979-05-01047-5
http://www.math.ucla.edu/%7Ewdduke/preprints/bams4.pdf
https://www.ams.org/bull/2005-42-02/S0273-0979-05-01047-5/S0273-0979-05-01047-5.pdf
https://www.ams.org/bull/2005-42-02/S0273-0979-05-01047-5/home.html
https://www.math.ucla.edu/%7Ewdduke/preprints/bams4.pdf

$2$-adic properties of Hecke traces of singular moduli: 2-adic properties of Hecke traces of singular moduli

Autoři: Matthew Boylan

Zdroj: Mathematical Research Letters. 12:593-609

Témata: Modular and automorphic functions, singular moduli, Hecke-Petersson operators, differential operators (one variable), 0101 mathematics, 01 natural sciences, Congruences for modular and \(p\)-adic modular forms

Popis souboru: application/xml

Přístupová URL adresa: http://www.intlpress.com/site/pub/files/_fulltext/journals/mrl/2005/0012/0004/MRL-2005-0012-0004-a012.pdf
https://zbmath.org/2207833
https://doi.org/10.4310/mrl.2005.v12.n4.a12
https://www.intlpress.com/site/pub/files/_fulltext/journals/mrl/2005/0012/0004/MRL-2005-0012-0004-a012.pdf
https://dialnet.unirioja.es/servlet/articulo?codigo=1294899
https://www.intlpress.com/site/pub/pages/journals/items/mrl/content/vols/0012/0004/a012/

The modular properties and the integral representations of the multiple elliptic gamma functions

Autoři: Atsushi Narukawa

Zdroj: Advances in Mathematics. 189:247-267

Témata: Mathematics(all), Other functions defined by series and integrals, q-Shifted factorial, 33B15, 33E30, 01 natural sciences, Modular property, \(q\)-gamma functions, \(q\)-beta functions and integrals, 33D05, Mathematics - Quantum Algebra, 0103 physical sciences, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Quantum Algebra (math.QA), Multiple elliptic gamma function, 0101 mathematics, Gamma, beta and polygamma functions, \(q\)-shifted factorial, Multiple sine function, Generalized q-polylogarithm, Modular and automorphic functions, multiple elliptic gamma function, Mathematics - Classical Analysis and ODEs, modular property, 11F03, Other functions coming from differential, difference and integral equations, generalized \(q\)-polylogarithm, multiple sine function, Holomorphic modular forms of integral weight

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/math/0306164
https://zbmath.org/2136504
https://doi.org/10.1016/j.aim.2003.11.009
https://www.sciencedirect.com/science/article/pii/S0001870803003670
https://dialnet.unirioja.es/servlet/articulo?codigo=952668
https://www.sciencedirect.com/science/article/abs/pii/S0001870803003670
https://core.ac.uk/display/81968839

On the Relationship Between Hypergeometric Functions and Some Multivalued Functions: On the relationship between hypergeometric functions and some multivalued functions

Autoři: Artem'eva, S. V. Burmann, H. W.

Přispěvatelé: Artem'eva, S. V. Burmann, H. W.

Zdroj: Differential Equations. 40:892-895

Témata: Modular and automorphic functions, Classical hypergeometric functions, \({}_2F_1\), Dedekind eta function, Dedekind eta function, Dedekind sums, Theta series, Weil representation, theta correspondences, 0101 mathematics, Hecke theta function, 01 natural sciences, Gauss differential equation

Popis souboru: application/xml

Přístupová URL adresa: https://link.springer.com/article/10.1023/B%3ADIEQ.0000046866.45832.b2
https://resolver.sub.uni-goettingen.de/purl?gro-2/48173