Cover Image

Evaluating Six Apéry-like Series of Weight $5$

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Layja, Jorge Antonio González
Format:	Preprint
Published:	2025
Subjects:	Combinatorics Number Theory 26A36, 33B30, 40C10, 11M06
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Closed-Form Evaluation of Two Apéry-Like Series of Weight 4
by: Layja, Jorge Antonio González
Published: (2026)

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

Integral Representations for Multiple Apéry-Like Series
by: Layja, Jorge Antonio González
Published: (2026)

An incomplete Riemann Zeta function as a fractional integral
by: Crider, Sarah M., et al.
Published: (2024)

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

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

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

Fast Computing Formulas for some Dirichlet L-Series
by: Zuniga, Jorge
Published: (2026)

Determining the Indeterminate: On the Evaluation of Integrals that connect Riemann's, Hurwitz' and Dirichlet's Zeta, Eta and Beta functions
by: Milgram, Michael
Published: (2021)

Bessel Averaging, Fourier Decomposition, and the Value of the Borwein-Bailey-Girgensohn Series
by: Zapata, Carlos Lopez
Published: (2026)

Explicit Formulas For Generalized Polylogarithmic Integrals, Euler Sums, And BBP-Type Series
by: Olaikhan, Ali
Published: (2025)

Sign changes of short character sums and real zeros of Fekete polynomials
by: Klurman, Oleksiy, et al.
Published: (2024)

An Apéry-like difference equation for Catalan's constant
by: Zudilin, Wadim
Published: (2002)

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

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

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

Euler products of Selberg zeta functions in the critical strip
by: Kaneko, Ikuya, et al.
Published: (2018)

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

Polynomial progressions in the generalized twin primes
by: Lott, Andrew, et al.
Published: (2025)

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

Conditional estimates for $L$-functions in the Selberg class
by: Palojärvi, Neea, et al.
Published: (2022)

Conditional estimates for $L$-functions in the Selberg class II
by: Palojärvi, Neea, et al.
Published: (2024)

Explicit conditional bounds for $ζ(s)$ at the edge of the critical strip
by: Chirre, Andrés, et al.
Published: (2026)

Power-Partible Reduction and Congruences for Apéry Numbers
by: Wang, Rong-Hua, et al.
Published: (2023)

On the binomial transforms of Apéry-like sequences
by: Liu, Ji-Cai
Published: (2024)

Paley-like quasi-random graphs arising from polynomials
by: Kim, Seoyoung, et al.
Published: (2024)

Apéry-like sequences defined by four-term recurrence relations
by: Cooper, Shaun
Published: (2023)

The variation of Barnes and Bessel zeta functions
by: Aldana, Clara L., et al.
Published: (2023)

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

On the Lindelöf Hypothesis for the Riemann Zeta function and Piltz divisor problem
by: Elaissaoui, Lahoucine
Published: (2024)

Various conjectural series identities
by: Sun, Zhi-Wei
Published: (2026)

Novel Formulas for B-Splines, Bernstein Basis Functions and special numbers: Approach to Derivative and Functional Equations of Generating Functions
by: Simsek, Yilmaz
Published: (2023)

Normal Ordering and Bessel Numbers with Integral Operators
by: Benmoussa, Abdelhay
Published: (2025)

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)

On a Generalized Moment Integral containing Riemann's Zeta Function: Analysis and Experiment
by: Milgram, Michael, et al.
Published: (2024)

Bubble sort and Howe duality for staircase matrices
by: Khoroshkin, Anton, et al.
Published: (2025)

On q-series and the moment problem associated to local factors
by: Connes, Alain, et al.
Published: (2024)

Generalized Hardy's identity for the astroid-type p-circle lattice point problem
by: Kitajima, Masaya
Published: (2025)

Littlewood's estimates for $L$-functions in the hyperelliptic ensemble
by: Carneiro, Emanuel, et al.
Published: (2025)

On the $q$-factorization of power series
by: Schneider, Robert, et al.
Published: (2025)