Copertina

Evaluations of $ \sum_{k=1}^\infty \frac{x^k}{k^2\binom{3k}{k}}$ and related series

Fuente: arXiv

Salvato in:

Dettagli Bibliografici
Autori principali:	Sun, Zhi-Wei, Zhou, Yajun
Natura:	Preprint
Pubblicazione:	2024
Soggetti:	Combinatorics Number Theory 05A10, 11M32, 11B65, 33B15
Accesso online:	Acceder al recurso
Tags:	Aggiungi Tag Nessun Tag, puoi essere il primo ad aggiungerne!!

Documenti analoghi

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)

Evaluations of some series of the type $\sum_{k=0}^\infty(ak+b)x^k/\binom{mk}{nk}$
di: Sun, Zhi-Wei
Pubblicazione: (2022)

On series identities involving $\binom{4k}k$ and harmonic numbers
di: Jiang, Bo, et al.
Pubblicazione: (2026)

Solvability of $\binom{2k}{k} = \binom{2a}{a} \binom{x+2b}{b}$
di: Allen, Meaghan
Pubblicazione: (2024)

Evaluations of some series via the WZ method
di: Hou, Qing-Hu, et al.
Pubblicazione: (2026)

Various conjectural series identities
di: Sun, Zhi-Wei
Pubblicazione: (2026)

Fast converging irrational series for $ L(2,(\frac d\cdot))$
di: Sun, Zhi-Wei, et al.
Pubblicazione: (2025)

New series involving binomial coefficients (II)
di: Sun, Zhi-Wei
Pubblicazione: (2023)

Discovering hypergeometric series with harmonic numbers via Wilf-Zeilberger seeds
di: Au, Kam Cheong
Pubblicazione: (2026)

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

Congruences for sums involving $\binom{rk}{k}$
di: Mattarei, Sandro, et al.
Pubblicazione: (2025)

Closed form for $\sum_{k=1}^n k^p$ through the Hermite integral representation of the Hurwitz zeta function
di: Abdulsalam, Abdulhafeez A.
Pubblicazione: (2023)

General formulas for a class of Euler sums
di: Bailey, David H, et al.
Pubblicazione: (2026)

Enumerating Diagonalizable Matrices over $\mathbb{Z}_{p^k}$
di: Falvey, Catherine, et al.
Pubblicazione: (2024)

Sums of squares of k-term forms
di: Goel, Charu, et al.
Pubblicazione: (2024)

Nahm sum identities for Cartan matrices of type $D_k$
di: Wang, Liuquan, et al.
Pubblicazione: (2025)

Series Associated with Harmonic Numbers, Fibonacci Numbers and Central Binomial Coefficients $\binom{2n}{n}$
di: Segun, Akerele Olofin
Pubblicazione: (2024)

Some Variants of Apéry-Type Series and Level Four Colored Multiple Zeta Values
di: Xu, Ce, et al.
Pubblicazione: (2022)

Taylor coefficients and series involving harmonic numbers
di: Hou, Qing-Hu, et al.
Pubblicazione: (2023)

Apéry-Like Sums and Colored Multiple Zeta Values
di: Xu, Ce, et al.
Pubblicazione: (2023)

Identically vanishing $k$-generalized Fibonacci polynomials
di: Mane, S. R.
Pubblicazione: (2025)

Alternating Apéry-Type Series and Colored Multiple Zeta Values of Level Eight
di: Xu, Ce, et al.
Pubblicazione: (2022)

On determinants involving $(\frac{j+k}p)\pm(\frac{j-k}p)$
di: Chen, Deyi, et al.
Pubblicazione: (2024)

A family of polynomials and related congruences and series
di: Sun, Zhi-Wei
Pubblicazione: (2025)

Enumeration of Factor Occurrences in $k$-Bonacci Words over an Infinite Alphabet
di: Ghareghani, Narges, et al.
Pubblicazione: (2026)

Explicit Identities and new results for Infinite Series associated with the Ratio of Central Binomial Coefficients
di: Dzokotoe, Yao Mawugna, et al.
Pubblicazione: (2025)

New Evaluations of Inverse Binomial Series via Cyclotomic Multiple Zeta Values
di: Campbell, John M., et al.
Pubblicazione: (2024)

Faulhaber's formula, Bernoulli numbers, power sums of natural numbers and totatives and the functional equation $f(x)+x^k=f(x+1)$
di: Wu, Chai Wah
Pubblicazione: (2024)

Series involving central binomial coefficients and higher-order harmonic numbers
di: Sun, Zhi-Wei, et al.
Pubblicazione: (2026)

Asymptotic expansions of integrals and Nielsen's polylogarithms
di: Kuba, Markus, et al.
Pubblicazione: (2026)

Existence of $K$-multimagic squares and magic squares of $k$th powers with distinct entries
di: Flores, Daniel
Pubblicazione: (2024)

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

Signed Generalized Stirling Polynomials, Nested Sums, and Hyperbolic Secant Integral Identities
di: Abdulsalam, Abdulhafeez A., et al.
Pubblicazione: (2026)

On the properties of alternating invariant functions
di: Zhu, Haiqing, et al.
Pubblicazione: (2025)

Several new product identities in relation to two-variable Rogers-Ramanujan type sums and mock theta functions
di: Pascadi, Alexandru
Pubblicazione: (2020)

Finite $q$-multiple harmonic sums on $1-\cdots-1,A,1-\cdots-1$ indices
di: Ishikawa, Hideaki, et al.
Pubblicazione: (2026)

Infinite sumsets in $U^k(Φ)$-uniform sets
di: Radić, Tristán
Pubblicazione: (2026)

On the Evaluation of Apéry-Like Series Involving Multiple $t$-Harmonic Star Sums
di: Layja, Jorge Antonio González
Pubblicazione: (2026)

On Some Properties of Matrices with Entries Defined by Products of $k$-Fibonacci and $k$-Lucas Numbers
di: Espinosa, Pedro Fernando Fernández, et al.
Pubblicazione: (2026)

Simplicial $d$-Polytopic Numbers Defined on Generalized Fibonacci Polynomials
di: López, Ronald Orozco
Pubblicazione: (2025)