Image de couverture de livre

Some series representing the zeta function for $\Re s>1$

Fuente: arXiv

Enregistré dans:

Détails bibliographiques
Auteur principal:	Burnol, Jean-François
Format:	Preprint
Publié:	2026
Sujets:	Number Theory Primary: 11M06, 33F05, Secondary: 11A63, 11Y35, 11Y60
Accès en ligne:	Acceder al recurso
Tags:	Ajouter un tag Pas de tags, Soyez le premier à ajouter un tag!

Documents similaires

Some series representing the eta function for $\Re s>0$
par: Burnol, Jean-François
Publié: (2026)

On the analytic continuation of Dirichlet series with missing digits
par: Burnol, Jean-François
Publié: (2026)

Digamma function and general Fischer series in the theory of Kempner sums
par: Burnol, Jean-François
Publié: (2024)

Measures associated with certain ellipsephic harmonic series and the Allouche-Hu-Morin limit theorem
par: Burnol, Jean-François
Publié: (2024)

On the asymptotics of Kempner-Irwin sums
par: Burnol, Jean-François
Publié: (2024)

Sur l'asymptotique des sommes de Kempner pour de grandes bases
par: Burnol, Jean-François
Publié: (2024)

Some geometric series for Euler's constant
par: Burnol, Jean-François
Publié: (2026)

Moments in the exact summation of the curious series of Kempner type
par: Burnol, Jean-François
Publié: (2024)

The asymptotic oscillations of moments related to Dirichlet series with missing digits
par: Burnol, Jean-François
Publié: (2026)

New explicit bounds for Mertens function and the reciprocal of the Riemann zeta-function
par: Lee, Ethan S., et autres
Publié: (2022)

Improved estimates for the argument and zero-counting function of the Riemann zeta-function
par: Bellotti, Chiara, et autres
Publié: (2024)

Summing the "exactly one 42" and similar subsums of the harmonic series
par: Burnol, Jean-François
Publié: (2024)

An explicit log-free zero density estimate for the Riemann zeta-function
par: Bellotti, Chiara
Publié: (2024)

Measures for the summation of Irwin series
par: Burnol, Jean-François
Publié: (2024)

Simple and accurate approximations to the Riemann zeta function
par: Kuznetsov, Alexey
Publié: (2025)

Explicit bounds on $ζ(s)$ in the critical strip and a zero-free region
par: Yang, Andrew
Publié: (2023)

Power-free palindromes and reversed primes
par: Chourasiya, Shashi, et autres
Publié: (2025)

A BBP-type formula for the remainder of the Madhava-Gregory-Leibniz series
par: Cloitre, Benoit
Publié: (2025)

Series for $1/π$ arising from Cauchy product
par: Lan, Roman Le
Publié: (2026)

Counting numbers that are divisible by the product of their digits
par: He, Qizheng, et autres
Publié: (2024)

A gamma function in two variables
par: Bachraoui, Mohamed El
Publié: (2013)

Sharper bounds for the error in the prime number theorem assuming the Riemann Hypothesis
par: Lee, Ethan Simpson, et autres
Publié: (2023)

Minimal zero-free regions for results on primes between consecutive perfect $k$th powers
par: Lee, Ethan Simpson
Publié: (2026)

Divisors in Residue Classes Revisited
par: Hales, Jonathon
Publié: (2024)

The Modularity of Z.-W. Sun's Conjectural Formulas for $\frac{1}π$
par: van Hoeij, Mark, et autres
Publié: (2024)

On modular forms of rational weight satisfying the canonical second-order linear modular differential equation
par: Sakai, Yuichi, et autres
Publié: (2026)

On the mean values of the error terms in Mertens' theorems
par: Zhao, Tianyu
Publié: (2024)

A method for verifying the generalized Riemann hypothesis
par: Hiary, Ghaith, et autres
Publié: (2024)

New bounds in R.S. Lehman's estimates for the difference $π\left( x\right) -li\left( x\right) $
par: Revers, Michael
Publié: (2025)

Fast converging irrational series for $ L(2,(\frac d\cdot))$
par: Sun, Zhi-Wei, et autres
Publié: (2025)

A random variable related to the Hurwitz zeta-function with algebraic parameter
par: Mine, Masahiro
Publié: (2022)

Some results on a conjecture of de Polignac about numbers of the form $p + 2^k$
par: Chen, Yuda, et autres
Publié: (2024)

On the efficient computation of Fourier coefficients of eta-quotients
par: Barquero-Sanchez, Adrian, et autres
Publié: (2025)

Newman's conjecture, zeros of the L-functions, function fields
par: Chang, Alan, et autres
Publié: (2014)

An effective analytic recurrence for prime numbers
par: Cloitre, Benoit
Publié: (2025)

Conjectures about Primes and Cyclic Numbers
par: Cohen, Joel E.
Publié: (2025)

Refinements of Artin's primitive root conjecture
par: Goldmakher, Leo, et autres
Publié: (2025)

Effective Erdős--Wintner for Cantor numeration systems via a trailing-window method
par: Verwee, Johann
Publié: (2025)

Joint distributions of error terms for primes in arithmetic progressions modulo 11
par: Benli, Kübra, et autres
Publié: (2025)

Comparing Galois representations in the residually reducible case
par: Freitas, Nuno, et autres
Publié: (2025)