Cover Image

An equivalent criteria for irrationality of $ζ(5)$

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Suman, Shekhar
Format:	Preprint
Published:	2023
Subjects:	General Mathematics 11M06, 11J72
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

A note on the Irrationality of $ζ(5)$ and Higher Odd Zeta Values
by: Suman, Shekhar
Published: (2024)

A Note on a Recent Attempt to Prove the Irrationality of $ζ(5)$
by: Chen, Keyu, et al.
Published: (2024)

Beukers-like proofs of irrationality for $ζ{(2)}$ and $ζ{(3)}$
by: Lima, F. M. S.
Published: (2013)

100% of the zeros of $ζ(s)$ are on the critical line
by: Suman, Shekhar
Published: (2022)

A note on the irrationality of $ζ_2(5)$
by: Lai, Li, et al.
Published: (2025)

Linear Independence Of Some Irrational Numbers
by: Carella, N. A.
Published: (2020)

Many $p$-adic odd zeta values are irrational
by: Lai, Li, et al.
Published: (2023)

On the irrationality of certain $p$-adic zeta values
by: Lai, Li, et al.
Published: (2025)

A note on the number of irrational odd zeta values, II
by: Lai, Li
Published: (2025)

Investigation about a statement equivalent to Riemann Hypothesis (RH)
by: Lodone, Giovanni
Published: (2024)

Investigation about a statement equivalent to Riemann Hypothesis (RH) applied to Dirichlet primitive L functions
by: Lodone, Giovanni
Published: (2024)

Linear independence of odd zeta values using Siegel's lemma
by: Fischler, Stéphane
Published: (2021)

Small improvements on the Ball-Rivoal theorem and its $p$-adic variant
by: Lai, Li
Published: (2024)

Mills' constant is irrational
by: Saito, Kota
Published: (2024)

On cellular rational approximations to $ζ(5)$
by: Brown, Francis, et al.
Published: (2022)

A new equivalence to the Riemann Hypothesis by means of the Salem integral equation
by: González, Benito J., et al.
Published: (2026)

Partial Sums of the Series for the Dirichlet Eta Function, their Peculiar Convergence, the Simple Zeros Conjecture, and the RH
by: Ghislanzoni, Luca
Published: (2009)

Beweis der Riemannschen Vermutung über ein reguliertes normiertes Integralmodell
by: Welz, Dennis-Magnus
Published: (2025)

The Riemann Hypothesis is false
by: Kubalalika, Tatenda
Published: (2020)

About zero counting of Riemann Z function
by: Lodone, Giovanni
Published: (2024)

Phase variation and angular momentum of the Riemann, and, Dirichlet Xi functions
by: Lodone, Giovanni
Published: (2025)

Sums of Powers of Sine and Generalized Bernoulli Polynomials
by: Fairbanks, Leon D.
Published: (2025)

An investigation of the non-trivial zeros of the Riemann zeta function
by: Heymann, Yuri
Published: (2018)

The mollified fourth moment of Dirichlet $L$-functions
by: Gao, Peng, et al.
Published: (2025)

On the Critical Line Re(s) = 1/2, the Irrationality Measure of π, and the Automorphic Structure of the Flint Hills Series
by: Zapata, Carlos Lopez
Published: (2026)

Some Series Related to Extended Riemann Hypothesis for Dedekind Zeta Functions
by: Zaheer, Muhammad Atif
Published: (2025)

Almost all of the zeros of the Riemann zeta-function are on the critical line
by: Preobrazhenskaya, Tatyana, et al.
Published: (2018)

Mixed moments of twisted $L$-functions
by: Tang, Zhenpeng, et al.
Published: (2025)

A disproof of the Riemann hypothesis on zeros of $ζ-$function
by: Ryazanov, Vladimir
Published: (2018)

Refinements of Erdős's irrationality criterion for certain sparse infinite series
by: Kaneko, Hajime, et al.
Published: (2026)

The Collision Spectrum
by: Petty, Alexander S.
Published: (2026)

The diagonalization method and Brocard's problem
by: Agama, Theophilus
Published: (2018)

A characterization of the distances between Pisot numbers generating the same number field
by: Bertin, M. J., et al.
Published: (2025)

The Collision Transform
by: Petty, Alexander S.
Published: (2026)

On the Order Estimates for Specific Functions of $ζ(s)$ and its Contribution towards the Analytic Proof of The Prime Number Theorem
by: De, Subham
Published: (2023)

Cyclic Vanishing Identities of Sun-Pan Type: Analytic and Modular Perspectives
by: Nagai, Ken
Published: (2025)

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

A well-motivated proof that pi is irrational
by: Chow, Timothy Y.
Published: (2024)

Thinned Wallis-type prime products in residue classes modulo $2^m$
by: Winkler, Mike
Published: (2026)

Functional equation for Mellin transform of Fourier series associated with modular forms
by: Atale, Omprakash
Published: (2024)