Copertina

Ninth degree analogue of Ramanujan's septic theta function identity

Fuente: arXiv

Salvato in:

Dettagli Bibliografici
Autori principali:	Kim, Sun, Rebák, Örs
Natura:	Preprint
Pubblicazione:	2025
Soggetti:	Number Theory Classical Analysis and ODEs 33C05, 05A30, 11F32, 11R29
Accesso online:	Acceder al recurso
Tags:	Aggiungi Tag Nessun Tag, puoi essere il primo ad aggiungerne!!

Documenti analoghi

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

The Rogers--Ramanujan continued fraction
di: Berndt, Bruce C., et al.
Pubblicazione: (2025)

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

Notes on Generalized Grötzsch Ring Function and Generalized Hersch-Pfluger Distortion Function
di: Bao, Qi, et al.
Pubblicazione: (2022)

An analogue of Ramanujan's identity for Bernoulli-Carlitz numbers
di: Hu, Su, et al.
Pubblicazione: (2023)

Some new properties of the beta function and Ramanujan R-function
di: Yang, Zhen-Hang, et al.
Pubblicazione: (2024)

Splitting Hypergeometric Functions over Roots of Unity
di: McCarthy, Dermot, et al.
Pubblicazione: (2024)

On the Hankel Transform of Bessel Functions on Complex Numbers and Explicit Spectral Formulae over the Gaussian Field
di: Qi, Zhi
Pubblicazione: (2023)

On an identity by Ercolani, Lega, and Tippings
di: Yattselev, Maxim L.
Pubblicazione: (2024)

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

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

Continued Fractions and Irrationality Measures for Chowla--Selberg Gamma Quotients
di: Cohen, Henri, et al.
Pubblicazione: (2025)

Gauss-Appell polynomials: An umbral calculus approach
di: Khan, Subuhi, et al.
Pubblicazione: (2025)

Theta functions and transformations of bilateral basic hypergeometric series
di: Zhou, Nian Hong
Pubblicazione: (2026)

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

Notes on certain binomial harmonic sums of Sun's type
di: Zhou, Yajun
Pubblicazione: (2025)

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

Hypergeometric solutions to Schwarzian equations
di: Besrour, Khalil, et al.
Pubblicazione: (2024)

On level 2 Modular differential equations
di: Besrour, Khalil, et al.
Pubblicazione: (2024)

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

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

Rational approximation of Euler's constant using multiple orthogonal polynomials
di: Wolfs, Thomas, et al.
Pubblicazione: (2024)

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

A degeneration of the generalized Zwegers' $μ$-function according to the Ramanujan difference equation
di: Shibukawa, G., et al.
Pubblicazione: (2026)

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

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

Evaluation of one-dimensional polylogarithmic integral, with applications to infinite series
di: Au, Kam Cheong
Pubblicazione: (2020)

A Ramanujan's hypergeometric transformation formula, its validity range and implications
di: Shpot, M. A.
Pubblicazione: (2024)

Fourier interpolation in dimensions 3 and 4 and real-variable Kloosterman sums
di: Radchenko, Danylo, et al.
Pubblicazione: (2025)

Recurrence relations and applications for the Maclaurin coefficients of squared and cubic hypergeometric functions
di: Mao, Zhong-Xuan, et al.
Pubblicazione: (2026)

Recurrence relations for the coefficients of the confluent and Gauss hypergeometric functions in the complex plane
di: Xu, Zi-Qiao, et al.
Pubblicazione: (2026)

A remarkable basic hypergeometric identity
di: Krattenthaler, Christian, et al.
Pubblicazione: (2024)

Quadratic irrational analogues of Ramanujan's series for $1/π$
di: Campbell, John M., et al.
Pubblicazione: (2026)

A divisor function of Wigert and higher degree forms
di: Banerjee, Debika, et al.
Pubblicazione: (2026)

On single-variable Witten zeta functions of rank two and three
di: Au, Kam Cheong
Pubblicazione: (2024)

A hyperelliptic saga on a generating function of the squares of Legendre polynomials
di: van Hoeij, Mark, et al.
Pubblicazione: (2023)

Applications of multiple orthogonal polynomials with hypergeometric moment generating functions
di: Wolfs, Thomas
Pubblicazione: (2024)

A novel advancement in the study of Appell polynomials via Padè rational approximants
di: Dattoli, Giuseppe, et al.
Pubblicazione: (2025)

Distribution of Frobenius elements in families of Galois extensions
di: Fiorilli, Daniel, et al.
Pubblicazione: (2020)

On a $_2F_1\big(\frac{1}{4}\big)$-identity due to Gosper
di: Hakimoglu-Brown, Cetin
Pubblicazione: (2026)