THE f (q) MOCK THETA FUNCTION CONJECTURE AND PARTITION RANKS KATHRIN BRINGMANN AND KEN ONO Abstract. In 1944, Freeman Dyson initiated the study of ranks of integer partitions. Here we solve the classical problem of obtai

Source URL: www.mathcs.emory.edu

A GENERALIZED JACOBI THETA FUNCTION AND QUASIMODULAR FORMS Masanobu Kaneko and Don Zagier In this note we give a direct proof using the theory of modular forms of a beautiful

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• Mathematics
• Elliptic functions
• Q-analogs
• Analytic number theory
• Theta function
• Letter
• Mock modular form
• Symbol
• Mathematical analysis
• Complex analysis
• Modular forms

A Multisection of q-Series Michael Somos 06 Sepdraft version

Source URL: grail.cba.csuohio.edu

• Combinatorics
• Srinivasa Ramanujan
• Modular forms
• Hypergeometric functions
• Mathematical identities
• Ramanujan theta function
• Rogers–Ramanujan continued fraction
• Basic hypergeometric series
• Rogers–Ramanujan identities
• Q-analogs
• Mathematical analysis
• Mathematics

A STANDARD ZERO FREE REGION FOR RANKIN SELBERG L-FUNCTIONS Dorian Goldfeld, Xiaoqing Li Abstract. A standard zero free region is obtained for Rankin Selberg L-functions L(s, f ×f ) where f is a tempered Maass form on GL

Source URL: www.math.columbia.edu

• Modular forms
• Q-analogs
• Analytic functions
• Factorial
• Number theory
• Theta function
• Proof that π is irrational
• Random permutation statistics
• Mathematics
• Mathematical analysis
• Combinatorics

supportisefullversion2.dvi

Source URL: www.dmg.tuwien.ac.at

• Q-analogs
• Transforms
• Theta function
• Laplace transform
• Recurrence relation
• Rectangular function
• Mathematical analysis
• Mathematics
• Modular forms

Embedded Trees and the Support of the ISE⋆ Michael Drmota Institute of Discrete Mathematics and Geometry, TU Wien, Wiedner Hauptstr. 8–10, A-1040 Wien, Austria, , WWW home page: http://www.

Source URL: www.dmg.tuwien.ac.at

• Q-analogs
• Analytic number theory
• Theta function
• Riemann zeta function
• Mathematical analysis
• Complex analysis
• Modular forms

FROM CLASSICAL THETA FUNCTIONS TO TOPOLOGICAL QUANTUM FIELD THEORY R˘azvan Gelca Alejandro Uribe Texas Tech University University of Michigan

Source URL: www.math.ttu.edu

• Quantum mechanics
• Mathematical physics
• Operator theory
• Lie groups
• Q-analogs
• Heisenberg group
• Stone–von Neumann theorem
• Theta function
• Weyl quantization
• Mathematical analysis
• Physics
• Mathematics

The mock modularity of q-hypergeometric series

Source URL: www.liafa.jussieu.fr

• Combinatorics
• Mock modular form
• Basic hypergeometric series
• Bailey pair
• Theta function
• Q-analogs
• Mathematical analysis
• Mathematics

American Journal of Mathematical Analysis, 2014, Vol. 2, No. 3, 36-44 Available online at http://pubs.sciepub.com/ajma/2/3/2 © Science and Education Publishing DOI:[removed]ajma[removed]Modular Relations for the Sextodec

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• Modular forms
• Number theory
• Mathematical identities
• Srinivasa Ramanujan
• Rogers–Ramanujan identities
• Eisenstein series
• Theta function
• Partition
• Q
• Mathematics
• Mathematical analysis
• Q-analogs

Homework 3 Solutions Ph 205a Tristan McKinney

Source URL: www.theory.caltech.edu

• Modular forms
• Q-analogs
• Quantum mechanics
• Mathematics
• Theta function
• Fourier series
• Joseph Fourier
• Analytic functions