2017, Graduate studies in mathematics, ISBN 0821849476, Volume 179., xii, 700 pages

Book

2017, American Mathematical Society Colloquium Publications, ISBN 9781470419448, Volume 64., xv, 391 pages

Book

2014, Advanced lectures in mathematics, ISBN 9781571462961, Volume 30., iii, 204 pages

Book

2006, CAMBRIDGE STUDIES IN ADVANCED MATHEMATICS; 99., ISBN 9780521837712, Volume 99, 509

L-functions associated to automorphic forms encode all classical number theoretic information...

L-functions | Automorphic forms

L-functions | Automorphic forms

Book

2018, Contributions in Mathematical and Computational Sciences, ISBN 9783319697116, Volume 10, 367

The theory of automorphic forms and their associated L-functions is one of the central research areas in modern number theory, linking number theory, arithmetic geometry, representation theory...

L-functions-Congresses | Automorphic forms-Congresses | Several Complex Variables and Analytic Spaces | Algebraic Geometry | Mathematics | Number Theory | Topological Groups, Lie Groups

L-functions-Congresses | Automorphic forms-Congresses | Several Complex Variables and Analytic Spaces | Algebraic Geometry | Mathematics | Number Theory | Topological Groups, Lie Groups

eBook

2011, Student mathematical library : IAS/Park City mathematical subseries, ISBN 0821852426, Volume 58, xiv, 195

Book

1984, Lecture notes in mathematics, ISBN 9780387138640, Volume 1083, x, 184

Book

2017, Mathematical surveys and monographs, ISBN 147043623X, Volume no. 222., x, 344 pages

"The aim of this book is to introduce and develop an arithmetic analogue of classical differential geometry. In this new geometry the ring of integers plays...

Forms and linear algebraic groups | Classical groups | Geometry, Differential | Number theory

Forms and linear algebraic groups | Classical groups | Geometry, Differential | Number theory

Book

Journal of physics. A, Mathematical and theoretical, ISSN 1751-8121, 2018, Volume 51, Issue 10, p. 104002

We analyze holomorphic Jacobi forms of weight one with level. One such form plays an important role in umbral moonshine, leading to simplifications of the statements of the umbral moonshine conjectures...

Statistical and Nonlinear Physics | Mathematical Physics | Physics and Astronomy(all) | Weil representations | Statistics and Probability | Modelling and Simulation | Jacobi forms | umbral moonshine | ABELIAN SURFACES | PHYSICS, MULTIDISCIPLINARY | SPACES | SIEGEL MODULAR-FORMS | GENUS | KAC-MOODY ALGEBRAS | AUTOMORPHIC-FORMS | PHYSICS, MATHEMATICAL | MATHIEU

Statistical and Nonlinear Physics | Mathematical Physics | Physics and Astronomy(all) | Weil representations | Statistics and Probability | Modelling and Simulation | Jacobi forms | umbral moonshine | ABELIAN SURFACES | PHYSICS, MULTIDISCIPLINARY | SPACES | SIEGEL MODULAR-FORMS | GENUS | KAC-MOODY ALGEBRAS | AUTOMORPHIC-FORMS | PHYSICS, MATHEMATICAL | MATHIEU

Journal Article

09/2018, Cambridge studies in advanced mathematics, ISBN 1108473849, Volume 173, 381

This is Volume 2 of a two-volume book that provides a self-contained introduction to the theory and application of automorphic forms, using examples to illustrate several critical analytical concepts...

Automorphic forms

Automorphic forms

eBook

1997, Cambridge tracts in mathematics, ISBN 9780521580496, Volume 130., x, 192

This book provides an introduction to some aspects of the analytic theory of automorphic forms on G=SL2(R...

Forms, Automorphic | Automorphic forms

Forms, Automorphic | Automorphic forms

Book

2007, IAS/Park City mathematics series, ISBN 9780821828731, Volume 12, xiv, 427

Book

2016, Contemporary mathematics, ISBN 147041709X, Volume 664, viii, 376

Book

Mathematische Annalen, ISSN 0025-5831, 3/2013, Volume 355, Issue 3, pp. 1085 - 1121

We use mock modular forms to compute generating functions for the critical values of modular $$L...

11F03 | Mathematics, general | Mathematics | 11F67 | MATHEMATICS | PERIODS | FOURIER COEFFICIENTS | HALF-INTEGRAL WEIGHT | WEAK MAASS FORMS | AUTOMORPHIC-FORMS | GROUP CO-HOMOLOGY | OPERATORS | L-SERIES | Computer science

11F03 | Mathematics, general | Mathematics | 11F67 | MATHEMATICS | PERIODS | FOURIER COEFFICIENTS | HALF-INTEGRAL WEIGHT | WEAK MAASS FORMS | AUTOMORPHIC-FORMS | GROUP CO-HOMOLOGY | OPERATORS | L-SERIES | Computer science

Journal Article

2005, Graduate texts in mathematics, ISBN 038723229X, Volume 228, xv, 436

This book introduces the theory of modular forms with an eye toward the Modularity Theorem...

Forms, Modular | Algebraic Geometry | Mathematics | Number Theory

Forms, Modular | Algebraic Geometry | Mathematics | Number Theory

Book

SBORNIK MATHEMATICS, ISSN 1064-5616, 12/2019, Volume 210, Issue 12, pp. 1702 - 1723

The problem of the construction of antisymmetric paramodular forms of canonical weight CDATAi has been open since 1996...

theta functions and Jacobi forms | MATHEMATICS | affine Lie algebras and hyperbolic Lie algebras | PRODUCTS | Siegel modular forms | KAC-MOODY ALGEBRAS | AUTOMORPHIC-FORMS | automorphic Borcherds products | moduli space of abelian and Kummer surfaces | Weight

theta functions and Jacobi forms | MATHEMATICS | affine Lie algebras and hyperbolic Lie algebras | PRODUCTS | Siegel modular forms | KAC-MOODY ALGEBRAS | AUTOMORPHIC-FORMS | automorphic Borcherds products | moduli space of abelian and Kummer surfaces | Weight

Journal Article

1971, Lecture notes in mathematics, ISBN 9783540053828, Volume 189., iv, 164

Book

Annals of mathematics, ISSN 0003-486X, 2011, Volume 173, Issue 2, pp. 947 - 981

In this paper we construct certain mock modular forms of weight 1/2 whose Fourier coefficients are given in terms of cycle integrals of the modular j-function...

Discriminants | Integers | Series convergence | Mathematical integrals | Whittaker functions | Mathematical functions | Fourier coefficients | Number theory | Mathematical cusps | MATHEMATICS | NUMBERS | DIVISORS | TRACES | COEFFICIENTS | AUTOMORPHIC-FORMS | VALUES | HEEGNER POINTS

Discriminants | Integers | Series convergence | Mathematical integrals | Whittaker functions | Mathematical functions | Fourier coefficients | Number theory | Mathematical cusps | MATHEMATICS | NUMBERS | DIVISORS | TRACES | COEFFICIENTS | AUTOMORPHIC-FORMS | VALUES | HEEGNER POINTS

Journal Article

2013, 2013, Developments in Mathematics, ISBN 9781493901449, Volume 31, 303

In the last decade, the areas of quadratic and higher degree forms have witnessed dramatic advances...

Forms, Quadratic | Congresses | Lattice theory | Mathematics | Number Theory | Combinatorics | Special Functions

Forms, Quadratic | Congresses | Lattice theory | Mathematics | Number Theory | Combinatorics | Special Functions

eBook

Journal für die reine und angewandte Mathematik (Crelles Journal), ISSN 0075-4102, 04/2019, Volume 2019, Issue 749, pp. 133 - 159

In this paper we study the regularized Petersson product between a holomorphic theta series associated to a positive definite binary quadratic form and a weakly holomorphic weight-one modular form...

MATHEMATICS | AUTOMORPHIC-FORMS | HEEGNER POINTS | DERIVATIVES

MATHEMATICS | AUTOMORPHIC-FORMS | HEEGNER POINTS | DERIVATIVES

Journal Article

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