Cover Image

Theta functions and transformations of bilateral basic hypergeometric series

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Zhou, Nian Hong
Format:	Preprint
Published:	2026
Subjects:	Number Theory Classical Analysis and ODEs Combinatorics Primary 11B65, Secondary 33D15, 11F27, 05A30
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

The generalized Zwegers' $μ$-function and transformation formulas for the bilateral basic hypergeometric series
by: Shibukawa, Genki, et al.
Published: (2023)

A remarkable basic hypergeometric identity
by: Krattenthaler, Christian, et al.
Published: (2024)

Complex spectrum of the partial theta function
by: Shapiro, Boris
Published: (2026)

$q$-analogues of Wilf-Zeilberger seeds and Ramanujan $1/π^k$-formulas
by: Au, Kam Cheong
Published: (2024)

Positivity and tails of pentagonal number series
by: Zhou, Nian Hong
Published: (2024)

Expansion formulas for elliptic hypergeometric series
by: Bhatnagar, Gaurav, et al.
Published: (2024)

Proofs of Mizuno's Conjectures on Rank Three Nahm Sums of Index $(1,2,2)$
by: Wang, Boxue, et al.
Published: (2024)

On Schultz's generalization of Borweins' cubic identity
by: Chan, Heng Huat, et al.
Published: (2025)

$q$-rious unimodality
by: Warnaar, S. Ole, et al.
Published: (2025)

Wilf-Zeilberger seeds and non-trivial hypergeometric identities
by: Au, Kam Cheong
Published: (2023)

A few identities and integrals involving Pochhammer symbols, Jacobi polynomials, and the generalized hypergeometric function
by: Szabłowski, Paweł J.
Published: (2025)

On a function of Ramanujan twisted by a logarithm
by: Dixit, Atul, et al.
Published: (2025)

Arithmetic properties of the Taylor coefficients of differentially algebraic power series
by: Krattenthaler, Christian, et al.
Published: (2025)

Proof of conjectures on series with summands involving $ \binom{2k}{k}8^k/(\binom{3k}{k}\binom{6k}{3k})$
by: Sun, Zhi-Wei, et al.
Published: (2024)

Identities on Zagier's rank two examples for Nahm's problem
by: Wang, Liuquan
Published: (2022)

Derivatives of Srivastava's hypergeometric functions with respect to their parameters
by: Shehata, Ayman, et al.
Published: (2021)

Expressing the difference of two Hurwitz zeta functions by a linear combination of the Gauss hypergeometric functions
by: Qi, Feng
Published: (2025)

Cubic and quintic analogues of Ramanujan's septic theta function identity
by: Berndt, Bruce C., et al.
Published: (2023)

Proofs of Two Conjectural Identities on Partial Nahm Sums
by: Shi, Changsong, et al.
Published: (2025)

Residue class biases in unrestricted partitions, partitions into distinct parts, and overpartitions
by: Schlosser, Michael J., et al.
Published: (2024)

A positivity conjecture for a quotient of $q$-binomial coefficients
by: Gatzweiler, Mona, et al.
Published: (2025)

A generalization of Zwegers' multivariable $μ$-function
by: Shibukawa, G., et al.
Published: (2025)

Transformations and summations for bilateral basic hypergeometric series
by: Cohl, Howard S., et al.
Published: (2025)

Pfaff's Method Revisited
by: Dhar, Aritram
Published: (2024)

Elliptic curves and Fourier coefficients of meromorphic modular forms
by: Zhang, Pengcheng
Published: (2025)

Linear relations between $L$-values of newforms and moments of elliptic $K$ integral
by: Au, Kam Cheong
Published: (2025)

Variations on a theme of Apéry
by: Cohen, Henri, et al.
Published: (2025)

Universal Matrices for Counting Fibonomial and $C$-nomial Coefficients by their $p$-adic Valuations
by: Chand, Arav
Published: (2025)

First memoir on the asymptotics of certain infinite products
by: Zudilin, Wadim
Published: (2024)

A bibasic double sum extension of a $q$-binomial theorem arising out of subspace enumeration
by: Bhatnagar, Gaurav, et al.
Published: (2026)

Power series expansion of Wilf function
by: Qi, Feng
Published: (2021)

A Dilogarithm Series and a Generalization of a Theorem of Bridgeman
by: Sanford, Chance
Published: (2024)

Ninth degree analogue of Ramanujan's septic theta function identity
by: Kim, Sun, et al.
Published: (2025)

A $q$-Exponential Operator Based on the Derivative of Order 1 and Summation of Bilateral Basic Hypergeometric Series
by: López, Ronald Orozco
Published: (2025)

Summation formulae for quadrics
by: Getz, Jayce R.
Published: (2022)

Combinatorial Interpretations of Cranks of Overpartitions and Partitions without Repeated Odd Parts
by: Garvan, Frank G., et al.
Published: (2024)

On closed forms of some trigonometric series
by: Tričković, Slobodan B., et al.
Published: (2024)

On Fractional derivative of Hurwitz Zeta function and Jacobi Theta function
by: Mor, Ashish, et al.
Published: (2023)

Derivatives of Humbert confluent hypergeometric functions with respect to their parameters
by: Shehata, Ayman, et al.
Published: (2021)

On the global sup-norm of GL(3) cusp forms
by: Blomer, Valentin, et al.
Published: (2017)