1986, Tata Institute of Fundamental Research lectures on mathematics and physics. Mathematics, ISBN 9783540164722, Volume 77, 227

Book

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

2011, Annals of mathematics studies, ISBN 0691142025, Volume 176, xi, 425

"Modular forms are tremendously important in various areas of mathematics, from number theory and algebraic geometry to combinatorics and lattices...

Galois modules (Algebra) | Class field theory | Mathematics

Galois modules (Algebra) | Class field theory | Mathematics

eBook

1983, Rev. 1983. --, Mathematics, ISBN 3540128743, Volume 29, 262 p. --

Book

1989, 1. Aufl., Springer Monographs in Mathematics, ISBN 9780387502687, viii, 335

Number Theory - Short description currently not available.

Forms, Modular | Forms (Mathematics) | Algebraic Geometry | Geometry, algebraic | Number theory | Mathematics | Number Theory

Forms, Modular | Forms (Mathematics) | Algebraic Geometry | Geometry, algebraic | Number theory | Mathematics | Number Theory

Book

Journal of number theory, ISSN 0022-314X, 2018, Volume 189, pp. 25 - 80

This paper investigates the relations between modular graph forms, which are generalizations of the modular graph functions that were introduced in earlier papers motivated by the structure of the low...

Eisenstein series | Duality | Modular forms | Superstrings | Modular graph functions | Polylogarithms | MATHEMATICS | VALUED MULTIPLE POLYLOGARITHMS

Eisenstein series | Duality | Modular forms | Superstrings | Modular graph functions | Polylogarithms | MATHEMATICS | VALUED MULTIPLE POLYLOGARITHMS

Journal Article

2014, Memoirs of the American Mathematical Society, ISBN 9780821898567, Volume no. 1090., v, 107

Book

Advances in mathematics (New York. 1965), ISSN 0001-8708, 2018, Volume 329, pp. 541 - 554

...) as a weight 2 modular form with a pole at z. Although these results rely on the fact that X0...

Divisors of modular forms | Denominator formula | Polar harmonic Maass forms | MATHEMATICS | COEFFICIENTS | MOONSHINE

Divisors of modular forms | Denominator formula | Polar harmonic Maass forms | MATHEMATICS | COEFFICIENTS | MOONSHINE

Journal Article

2007, Graduate studies in mathematics, ISBN 9780821839607, Volume 79, xv, 268

Book

2006, CAMBRIDGE MONOGRAPHS ON MATHEMATICAL PHYSICS., ISBN 0521835313, 493

This book was originally published in 2006. Moonshine forms a way of explaining the mysterious connection between the monster finite group and modular functions from classical number theory...

Modular functions | Vertex operator algebras | Finite groups | Mathematical physics

Modular functions | Vertex operator algebras | Finite groups | Mathematical physics

Book

2014, 2014, Contributions in Mathematical and Computational Sciences, ISBN 9783319038469, Volume 6, 377

This volume contains original research articles, survey articles and lecture notes related to the Computations with Modular Forms 2011 Summer School and Conference, held at the University of Heidelberg...

Congresses | Forms, Modular | Algebraic Geometry | Mathematics | Algorithms | Algebra | Number Theory

Congresses | Forms, Modular | Algebraic Geometry | Mathematics | Algorithms | Algebra | Number Theory

eBook

Journal of Number Theory, ISSN 0022-314X, 01/2017, Volume 170, pp. 315 - 346

Motivated by the problem of finding explicit q-hypergeometric series which give rise to quantum modular forms, we define a natural generalization of Kontsevich's “strange” function...

q-Hypergeometric series | Unimodal sequences | Modular forms | q-Series | Strongly unimodal sequences | Basic hypergeometric series | Quantum modular forms | MATHEMATICS

q-Hypergeometric series | Unimodal sequences | Modular forms | q-Series | Strongly unimodal sequences | Basic hypergeometric series | Quantum modular forms | MATHEMATICS

Journal Article

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

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

17.
Modular forms

1984, Ellis Horwood series in mathematics and its applications. Statistics and operational research., ISBN 9780853126690, 272 p. --

Book

Advances in Mathematics, ISSN 0001-8708, 10/2016, Volume 302, pp. 551 - 627

We show that trace functions on modules of topological N=2 super vertex algebras give rise to conformal blocks on elliptic supercurves. We show that they...

Vertex algebras | Modular invariance | Elliptic curves | Jacobi forms | Supercurves | Chiral algebras | INVARIANCE | MATHEMATICS | GENERA | Algebra | Differential equations

Vertex algebras | Modular invariance | Elliptic curves | Jacobi forms | Supercurves | Chiral algebras | INVARIANCE | MATHEMATICS | GENERA | Algebra | Differential equations

Journal Article

International Journal of Number Theory, ISSN 1793-0421, 04/2018, Volume 14, Issue 3, pp. 825 - 845

We give a list of PGL 2 ( ℓ ) number fields for ℓ ≥ 1 1 which have rational companion forms...

modular form | companion form | Galois group | discriminant | Number field

modular form | companion form | Galois group | discriminant | Number field

Journal Article

The Ramanujan Journal, ISSN 1382-4090, 2/2017, Volume 42, Issue 2, pp. 443 - 451

Kim (Arch Math (Basel) 79(3):208–215, 2002) constructs multilinear differential operators for Hermitian Jacobi forms and Hermitian modular forms...

Hermitian Jacobi forms | Secondary 11F60 | Fourier Analysis | Primary 11F55 | Functions of a Complex Variable | Rankin–Cohen brackets | Field Theory and Polynomials | Hermitian modular forms | Mathematics | Number Theory | Combinatorics | MATHEMATICS | Rankin-Cohen brackets | HEAT OPERATOR | Computer science

Hermitian Jacobi forms | Secondary 11F60 | Fourier Analysis | Primary 11F55 | Functions of a Complex Variable | Rankin–Cohen brackets | Field Theory and Polynomials | Hermitian modular forms | Mathematics | Number Theory | Combinatorics | MATHEMATICS | Rankin-Cohen brackets | HEAT OPERATOR | Computer science

Journal Article

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