- Analytical study of the pantograph equation using Jacobi theta functions
2023/09/24 by Changgui Zhang · 1 citation
Mathematics · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Analytic function #Cauchy distribution #Cauchy problem #Cauchy's integral formula #Complex plane #Connection (principal bundle) #Differential equation #Fractional Differential Equations Solutions #Function (biology) #Geometry #Infinity #Initial value problem #Linear differential equation #Mathematical analysis #Mathematics #Nonlinear Waves and Solitons #Power series #Product (mathematics) #Pure mathematics #Series (stratigraphy) #Theta function #Zero (linguistics)
- The Riemann theta function solutions for the hierarchy of Bogoyavlensky lattices
2017/08/01 by Jiao Wei, Xianguo Geng, Xin Zeng · 2 citations
Computer Science · Mathematics · Physics and Astronomy · #Function (biology) #Hierarchy #Mathematical Dynamics and Fractals #Mathematics #Nonlinear Waves and Solitons #Polynomial and algebraic computation #Pure mathematics #Riemann hypothesis #Theta function
- Iterated elliptic and hypergeometric integrals for Feynman diagrams
2017/06/05 by J. Ablinger, Jakob Ablinger, J. Blümlein +13 · 6 citations
Computer Science · Mathematics · Physics and Astronomy · #Basic hypergeometric series #Black Holes and Theoretical Physics #Eisenstein series #Elliptic integral #Generalized hypergeometric function #Hypergeometric function #Hypergeometric function of a matrix argument #Jacobi elliptic functions #Mathematical analysis #Mathematics #Modular form #Particle physics theoretical and experimental studies #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Theta function #cs.SC #hep-ph #hep-th #math-ph #math.AG #math.MP
- L-functions and theta correspondence for classical groups
2013/08/02 by Shunsuke Yamana · 15 citations
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebra over a field #Algebraic structures and combinatorial models #Classical group #Lie group #Mathematics #Pure mathematics #Theta function
- The H and K Family of Mock Theta Functions
2011/08/24 by Richard J. McIntosh · 5 citations
Mathematics · #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Analytic Number Theory Research #Combinatorics #Entire function #Exponential function #Function (biology) #Mathematical analysis #Mathematics #Modular form #Order (exchange) #Pure mathematics #Ramanujan theta function #Ramanujan's sum #Rational function #Root of unity #Theta function
- THE COEFFICIENTS OF THE ω(q) MOCK THETA FUNCTION
2008/12/01 by Sharon Anne Garthwaite · 1 citation
Mathematics · #Advanced Mathematical Identities #Analytic Number Theory Research #Advanced Combinatorial Mathematics #Mathematics #Ramanujan theta function #Ramanujan's sum #Modular form #Theta function #Pure mathematics #Series (stratigraphy) #Conjecture #Generating function #Eisenstein series #Function (biology) #Transformation (genetics) #Ramanujan tau function #Algebra over a field #Mathematical analysis
- Mock Jacobi forms in basic hypergeometric series
2008/06/30 by Soon-Yi Kang · 3 citations
Mathematics · #Advanced Algebra and Geometry #Advanced Mathematical Identities #Algebra over a field #Algebraic structures and combinatorial models #Holomorphic function #Hypergeometric function #Modular form #Quotient #Rank (graph theory) #Theta function #math.CO #math.NT #msc:05A17 #msc:11F37 #msc:11F50 #msc:33D15
- Sixth order mock theta functions
2007/06/14 by Bruce C. Berndt, Song Heng Chan · 7 citations
Mathematics · #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Algebra over a field #Analytic Number Theory Research #Mathematics #Order (exchange) #Pure mathematics #Ramanujan theta function #Ramanujan's sum #Theta function
- Second Order Mock Theta Functions
2007/06/01 by Richard J. McIntosh · 8 citations
Mathematics · #Advanced Mathematical Identities #Analytic Number Theory Research #Combinatorics #Mathematical functions and polynomials #Mathematics #Order (exchange) #Pure mathematics #Ramanujan theta function #Ramanujan's sum #Theta function
- Tenth order mock theta functions in Ramanujan's lost notebook III
2006/11/27 by Youn-Seo Choi · 1 citation
Mathematics · #Advanced Mathematical Identities #Analytic Number Theory Research #Advanced Combinatorial Mathematics #Ramanujan's sum #Ramanujan theta function #Mathematics #Theta function #Order (exchange) #Ramanujan tau function #Mathematical proof #Modular form #Algebra over a field #Pure mathematics #Geometry
- The f(q) mock theta function conjecture and partition ranks
2006/01/30 by Kathrin Bringmann, Ken Ono · 34 citations
Mathematics · #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Analytic Number Theory Research #Asymptotic formula #Combinatorics #Conjecture #Function (biology) #Holomorphic function #Integer (computer science) #Mathematics #Partition (number theory) #Partition function (quantum field theory) #Pure mathematics #Ramanujan theta function #Ramanujan's sum #Rank (graph theory) #Theta function
- Tenth order mock theta functions in Ramanujan’s lost notebook (IV)
2001/09/21 by Youn-Seo Choi · 2 citations
Mathematics · #Advanced Mathematical Identities #Analytic Number Theory Research #Advanced Combinatorial Mathematics #Ramanujan's sum #Ramanujan theta function #Mathematics #Mathematical proof #Ramanujan tau function #Theta function #Order (exchange) #Modular form #Pure mathematics #Algebra over a field #Geometry
- Tenth Order Mock Theta Functions in Ramanujan's Lost Notebook II
2000/12/01 by Youn-Seo Choi · 7 citations
Mathematics · #Advanced Mathematical Identities #Algebra over a field #Analytic Number Theory Research #Mathematical functions and polynomials #Mathematics #Order (exchange) #Pure mathematics #Ramanujan tau function #Ramanujan theta function #Ramanujan's sum #Theta function
- Theta functions of indefinite quadratic forms over real number fields
1999/09/27 by Olav K. Richter · 1 citation
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Modular form #Symplectic geometry #Mathematics #Pure mathematics #Quadratic equation #Root (linguistics) #Theta function #Modular design #Algebra over a field #Computer science #Geometry
- Tenth order mock theta functions in Ramanujan's Lost Notebook
1999/05/19 by Youn-Seo Choi · 11 citations
Mathematics · #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Algebra over a field #Analytic Number Theory Research #Combinatorics #Mathematics #Order (exchange) #Pure mathematics #Ramanujan theta function #Ramanujan's sum #Theta function
- Ramanujan's “lost” notebook VII: The sixth order mock theta functions
1991/09/01 by George E. Andrews, George E Andrews, Dean Hickerson · 16 citations
Mathematics · #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Algebra over a field #Analytic Number Theory Research #Mathematics #Order (exchange) #Pure mathematics #Ramanujan theta function #Ramanujan's sum #Theta function
- On the seventh order mock theta functions
1988/10/01 by Dean Hickerson · 3 citations
Mathematics · #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Algebra over a field #Analytic Number Theory Research #Mathematics #Order (exchange) #Pure mathematics #Ramanujan theta function #Theta function
- The Fifth and Seventh Order Mock Theta Functions
1986/01/01 by George E. Andrews · 2 citations
Mathematics · #Advanced Mathematical Identities #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Mathematics #Modular form #Theta function #Ramanujan theta function #Type (biology) #Integer (computer science) #Order (exchange) #Generating function #Pure mathematics #Hecke operator #Series (stratigraphy) #Eisenstein series #Algebra over a field #Combinatorics