Copertina

A further $q$-generalization of the (C.2) and (G.2) supercongruences of Van Hamme

Fuente: arXiv

Salvato in:

Dettagli Bibliografici
Autori principali:	Li, Song-Xiao, Wang, Su-Dan
Natura:	Preprint
Pubblicazione:	2026
Soggetti:	Number Theory
Accesso online:	Acceder al recurso
Tags:	Aggiungi Tag Nessun Tag, puoi essere il primo ad aggiungerne!!

Documenti analoghi

Refinements of Van Hamme's (E.2) and (F.2) supercongruences and two supercongruences by Swisher
di: Guo, Victor J. W., et al.
Pubblicazione: (2025)

Streamlined WZ method proofs of Van Hamme supercongruences
di: Valloud, Andres
Pubblicazione: (2025)

q-analogues of the G.2 Supercongruence of Van Hamme
di: Liu, Yudong, et al.
Pubblicazione: (2020)

A refined $q$-analogue of some congruences of Van Hamme
di: Wang, Chen, et al.
Pubblicazione: (2025)

On some conjectural supercongruences involving the sequence $t_n(x)$
di: Han, Hui-Li, et al.
Pubblicazione: (2025)

Heuristic derivation of Zudilin's supercongruences for rational Ramanujan series
di: Guillera, Jesús
Pubblicazione: (2023)

On a conjectural supercongruence involving the dual sequence $s_n(x)$
di: Wang, Chen, et al.
Pubblicazione: (2025)

Proof of two supercongruences of truncated hypergeometric series ${}_4F_3$
di: Mao, Guo-Shuai
Pubblicazione: (2019)

A further study of polynomial $g_{n,q}$ over finite fields
di: Fernando, Neranga, et al.
Pubblicazione: (2026)

On further questions regarding unit fractions
di: Liu, Yang P., et al.
Pubblicazione: (2024)

On arithmetic nature of $q$-analogue of the generalized Stieltjes constants
di: Chatterjee, Tapas, et al.
Pubblicazione: (2024)

$q$-Congruences for Z.-W. Sun's generalized polynomials $w^{(α)}_k(x)$
di: Li, Lin-Yue, et al.
Pubblicazione: (2025)

On generalizing the Van der Waerden theorem to some symmetric functions
di: Bialostocki, Arie, et al.
Pubblicazione: (2025)

The $a$-number of $y^{q^2+q+1} = x^{q^2+1} + x^q $ over finite field
di: Nourozi, Vahid, et al.
Pubblicazione: (2024)

Extension of a conjectural supercongruence of (G.3) of Swisher using Zeilberger's algorithm
di: Jana, Arijit, et al.
Pubblicazione: (2020)

Linear independence of $q$-analogue of the generalized Stieltjes constants over number fields
di: Chatterjee, Tapas, et al.
Pubblicazione: (2024)

Two Proofs of a Conjecture of Amdeberhan, Andrews and Ballantine for double Lambert series and a new Representation for $E_2(q)$
di: Cui, Su-Ping, et al.
Pubblicazione: (2026)

Determination of all complete mappings of F_{q^2} of the form aX^{3q}+bX^{2q+1}+cX^{q+2}+dX^3
di: Ding, Zhiguo, et al.
Pubblicazione: (2025)

Finite $q$-multiple harmonic sums on $2-\cdots-2,1-\cdots-1$ indices
di: Dong, Zikang, et al.
Pubblicazione: (2026)

Sums and differences of sets: a further improvement over AlphaEvolve
di: Zheng, Fan
Pubblicazione: (2025)

A further investigation on covering systems with odd moduli
di: Bispels, Chris, et al.
Pubblicazione: (2025)

On the unit group and the $2$-class number of $\mathbb{Q}(\sqrt{2},\sqrt{p},\sqrt{q})$
di: Chems-Eddin, Mohamed Mahmoud, et al.
Pubblicazione: (2024)

Modular representations of $\mathrm{GL}_2({\mathbb F}_q)$ using calculus
di: Ghate, Eknath, et al.
Pubblicazione: (2023)

A new construction of permutation polynomials over $\mathbb{F}_{q^3}$
di: Ding, Zhiguo, et al.
Pubblicazione: (2026)

Effective Generalized Fermat equation of signature $(2p, 2q, r)$ with odd narrow class number
di: Sahoo, Satyabrat
Pubblicazione: (2025)

Expansion in $\text{SL}_2(\mathbb Z/q\mathbb Z)$ and Zaremba's conjecture
di: Zhang, Xin
Pubblicazione: (2026)

Statistics of the Genus Number of $S_3 \times C_q$ and $D_4$-fields
di: Dixit, Anup B., et al.
Pubblicazione: (2026)

The 2-adic valuation of the general degree 2 polynomial in 2 variables
di: Shubham
Pubblicazione: (2022)

On cyclically covering subspaces of $\mathbb{F}^n_q$
di: Li, Yangcheng, et al.
Pubblicazione: (2026)

Gauss sums and Van der Geer--Van der Vlugt curves
di: Takeuchi, Daichi, et al.
Pubblicazione: (2023)

ABC Conjecture: $ABC = 2^m p^n q^r$ with Fermat or Mersenne Primes
di: Saxena, Anupam
Pubblicazione: (2018)

Clebsch-Gordan and the theta filtration for modular representations of $\mathrm{GL}_2({\mathbb F}_q)$
di: Bhattacharjee, Srijeet, et al.
Pubblicazione: (2025)

A supercongruence related to Whipple's ${}_5F_4$ formula and Dwork's dash operation
di: Wang, Chen, et al.
Pubblicazione: (2026)

On the reciprocity law in $\mathbb{F}_{q}[t]$
di: Hu, Su, et al.
Pubblicazione: (2026)

On a formula of the $q$-series $_{2k+4}ϕ_{2k+3}$ and its applications
di: Andrews, George E., et al.
Pubblicazione: (2025)

Further results on permutation pentanomials over ${\mathbb F}_{q^3}$ in characteristic two
di: Zhang, Tongliang, et al.
Pubblicazione: (2025)

Rational $D(q)$-quintuples
di: Dražić, Goran
Pubblicazione: (2021)

An in-depth study of the power function $x^{q+2}$ over the finite field $\mathbb{F}_{q^2}$: the differential, boomerang, and Walsh spectra, with an application to coding theory
di: Mesnager, Sihem, et al.
Pubblicazione: (2024)

New permutation polynomials over $\mathbb{F}_{q^2}$
di: Pang, Xuan, et al.
Pubblicazione: (2025)

On the number of subgroups of the group $\mathbb{Z}_{m_{1}} \times \mathbb{Z}_{m_{2}}$ with $m_{1}m_{2}\leq x$ such that $m_{1}m_{2}$ is a $k$-th power
di: Sui, Yankun, et al.
Pubblicazione: (2025)