Generalizations of two hypergeometric sums related to conjectures of Guo
Fuente:
arXiv
Saved in:
| Main Authors: | Jana, Arijit, Karmakar, Liton |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Order drop, Hecke descent, and a mod $p^4$ supercongruence for symmetric-cube hypergeometric coefficients
by: Shvets, Alex
Published: (2026)
by: Shvets, Alex
Published: (2026)
A supercongruence related to Whipple's ${}_5F_4$ formula and Dwork's dash operation
by: Wang, Chen, et al.
Published: (2026)
by: Wang, Chen, et al.
Published: (2026)
Representations of $\mathrm{GL}_2$ over $\mathbb{Z}/p^n\mathbb{Z}$ and supercongruences for hypergeometric polynomials
by: Ichino, Atsushi, et al.
Published: (2025)
by: Ichino, Atsushi, et al.
Published: (2025)
A remarkable basic hypergeometric identity
by: Krattenthaler, Christian, et al.
Published: (2024)
by: Krattenthaler, Christian, et al.
Published: (2024)
Apéry-like sequences defined by four-term recurrence relations
by: Cooper, Shaun
Published: (2023)
by: Cooper, Shaun
Published: (2023)
Some determinants involving quadratic residues modulo primes
by: Sun, Zhi-Wei
Published: (2024)
by: Sun, Zhi-Wei
Published: (2024)
Evaluations of some series of the type $\sum_{k=0}^\infty(ak+b)x^k/\binom{mk}{nk}$
by: Sun, Zhi-Wei
Published: (2022)
by: Sun, Zhi-Wei
Published: (2022)
Distributions of Matrices over $\mathbb{F}_q[x]$
by: Ji, Yibo
Published: (2022)
by: Ji, Yibo
Published: (2022)
Various conjectural series identities
by: Sun, Zhi-Wei
Published: (2026)
by: Sun, Zhi-Wei
Published: (2026)
On some conjectural determinants of Sun involving residues
by: Chaliha, Rituparna, et al.
Published: (2024)
by: Chaliha, Rituparna, et al.
Published: (2024)
The Domb Ap'ery-limit and a proof of the Ramanujan Machine conjecture Z2
by: Shvets, Alex
Published: (2026)
by: Shvets, Alex
Published: (2026)
An asymptotic property on a reciprocity law for the Bettin--Conrey cotangent sum
by: Akatsuka, Hirotaka, et al.
Published: (2024)
by: Akatsuka, Hirotaka, et al.
Published: (2024)
New series involving binomial coefficients (II)
by: Sun, Zhi-Wei
Published: (2023)
by: Sun, Zhi-Wei
Published: (2023)
An explicit Galois descent for multiple $t$-values of maximal height
by: Charlton, Steven, et al.
Published: (2026)
by: Charlton, Steven, et al.
Published: (2026)
The Partial Theta Operator and Multivariate Generalized Lambert Series
by: López, Ronald Orozco
Published: (2025)
by: López, Ronald Orozco
Published: (2025)
Nahm sum identities for Cartan matrices of type $D_k$
by: Wang, Liuquan, et al.
Published: (2025)
by: Wang, Liuquan, et al.
Published: (2025)
Modularity of tadpole Nahm sums in ranks 4 and 5
by: Shi, Changsong, et al.
Published: (2025)
by: Shi, Changsong, et al.
Published: (2025)
Discovering hypergeometric series with harmonic numbers via Wilf-Zeilberger seeds
by: Au, Kam Cheong
Published: (2026)
by: Au, Kam Cheong
Published: (2026)
2- and 3-Dissections of Second-, Sixth-, and Eighth-Order Mock Theta Functions
by: Garvan, Frank, et al.
Published: (2026)
by: Garvan, Frank, et al.
Published: (2026)
Leading coefficient in the Hankel determinants related to binomial and $q$-binomial transforms
by: Chern, Shane, et al.
Published: (2024)
by: Chern, Shane, et al.
Published: (2024)
On generalized Stirling numbers and special functions
by: Mezlini, Kamel, et al.
Published: (2024)
by: Mezlini, Kamel, et al.
Published: (2024)
Mizuno's rank three Nahm sums I: identities of index $(1,1,2)$
by: Wang, Boxue, et al.
Published: (2024)
by: Wang, Boxue, et al.
Published: (2024)
QM abelian varieties, hypergeometric character sums and modular forms
by: Hoffman, Jerome William, et al.
Published: (2024)
by: Hoffman, Jerome William, et al.
Published: (2024)
Order-3 pi-formulas, Apery-like kernels, and Clausen functoriality for Conservative Matrix Fields
by: Shvets, Alex
Published: (2026)
by: Shvets, Alex
Published: (2026)
$q$-analogues of Wilf-Zeilberger seeds and Ramanujan $1/π^k$-formulas
by: Au, Kam Cheong
Published: (2024)
by: Au, Kam Cheong
Published: (2024)
Uniform effective estimates for $\vert L(1,χ)\vert$
by: Languasco, Alessandro, et al.
Published: (2020)
by: Languasco, Alessandro, et al.
Published: (2020)
Asymptotic expansions of truncated hypergeometric series for $1/π$
by: Milla, Lorenz, et al.
Published: (2023)
by: Milla, Lorenz, et al.
Published: (2023)
Congruences modulo powers of $5$ and $7$ for the crank and rank parity functions and related mock theta functions
by: Chen, Dandan, et al.
Published: (2024)
by: Chen, Dandan, et al.
Published: (2024)
Pairs of commuting integer matrices
by: Browning, Tim, et al.
Published: (2024)
by: Browning, Tim, et al.
Published: (2024)
On matrix Kloosterman sums and Hall-Littlewood polynomials
by: Zelingher, Elad
Published: (2023)
by: Zelingher, Elad
Published: (2023)
Split-prime supercongruence at the mixed CM point (1/6, 1/3; 1)
by: Shvets, Alex
Published: (2026)
by: Shvets, Alex
Published: (2026)
Hurwitz-Lerch type central binomial series
by: Ikeda, Karin, et al.
Published: (2024)
by: Ikeda, Karin, et al.
Published: (2024)
Antiquantum $q$-series identities and mock theta functions
by: Folsom, Amanda, et al.
Published: (2025)
by: Folsom, Amanda, et al.
Published: (2025)
On some determinants and permanents
by: Sun, Zhi-Wei
Published: (2022)
by: Sun, Zhi-Wei
Published: (2022)
Diophantine Graphs
by: Nasr, A., et al.
Published: (2024)
by: Nasr, A., et al.
Published: (2024)
Divergent series in Gauss's diary and their extensions
by: Sogo, Kiyoshi
Published: (2026)
by: Sogo, Kiyoshi
Published: (2026)
Evaluations of $ \sum_{k=1}^\infty \frac{x^k}{k^2\binom{3k}{k}}$ and related series
by: Sun, Zhi-Wei, et al.
Published: (2024)
by: Sun, Zhi-Wei, et al.
Published: (2024)
Partition functions for non-commutative harmonic oscillators and related divergent series
by: Kimoto, Kazufumi, et al.
Published: (2023)
by: Kimoto, Kazufumi, et al.
Published: (2023)
Generalized $f$-Eulerian polynomials: zeros and hypergeometric representations with applications
by: Karp, Dmitrii, et al.
Published: (2025)
by: Karp, Dmitrii, et al.
Published: (2025)
Pfaff's Method Revisited
by: Dhar, Aritram
Published: (2024)
by: Dhar, Aritram
Published: (2024)
Similar Items
-
Order drop, Hecke descent, and a mod $p^4$ supercongruence for symmetric-cube hypergeometric coefficients
by: Shvets, Alex
Published: (2026) -
A supercongruence related to Whipple's ${}_5F_4$ formula and Dwork's dash operation
by: Wang, Chen, et al.
Published: (2026) -
Representations of $\mathrm{GL}_2$ over $\mathbb{Z}/p^n\mathbb{Z}$ and supercongruences for hypergeometric polynomials
by: Ichino, Atsushi, et al.
Published: (2025) -
A remarkable basic hypergeometric identity
by: Krattenthaler, Christian, et al.
Published: (2024) -
Apéry-like sequences defined by four-term recurrence relations
by: Cooper, Shaun
Published: (2023)