On Dirichlet Series Involving $ζ(s)$ and Extensions of the Euler-Mascheroni Constant
Fuente:
arXiv
Saved in:
| Main Author: | Noda, Takumi |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Polylogarithmic Analogues of Euler's Constant
by: Noda, Takumi
Published: (2026)
by: Noda, Takumi
Published: (2026)
Approximation Of Logarithm, Factorial And Euler Mascheroni Constant Using Odd Harmonic Series
by: Wadhawan, Narinder Kumar, et al.
Published: (2025)
by: Wadhawan, Narinder Kumar, et al.
Published: (2025)
Evaluating $ζ(s)$ At Odd Positive Integers Using Automatic Dirichlet Series
by: Tóth, László
Published: (2025)
by: Tóth, László
Published: (2025)
On the Uniqueness of Ein(1) among Linear Combinations of the Euler-Mascheroni and Euler-Gompertz Constants
by: Powers, Michael R.
Published: (2025)
by: Powers, Michael R.
Published: (2025)
Fast formulas for the Hurwitz values $ζ(2,a)$ and $ζ(3,a)$
by: Guillera, Jesús
Published: (2025)
by: Guillera, Jesús
Published: (2025)
Higher Euler-Kronecker Constants of Number fields
by: Ghosh, Samprit
Published: (2024)
by: Ghosh, Samprit
Published: (2024)
Eisenstein Series on Metaplectic Covers and Multiple Dirichlet Series
by: Chen, Yanze
Published: (2024)
by: Chen, Yanze
Published: (2024)
Euler-Kronecker constants of modular forms: beyond Dirichlet $L$-series
by: Charlton, Steven, et al.
Published: (2024)
by: Charlton, Steven, et al.
Published: (2024)
Dirichlet Series and Asymptotics for Generalized Legendre Factorials
by: Diaz, Brian, et al.
Published: (2026)
by: Diaz, Brian, et al.
Published: (2026)
Jacob's ladders, $ζ$-transformation of the Fourier orthogonal system (2014) and new infinite sets of $ζ$-equivalents of the Fermat-Wiles theorem
by: Moser, Jan
Published: (2025)
by: Moser, Jan
Published: (2025)
A Dirichlet Generating Function for the Coefficients of Euler's Pentagonal Number Theorem
by: Tellkamp, Friedjof
Published: (2025)
by: Tellkamp, Friedjof
Published: (2025)
Explicit Bound of $\pmb{|ζ\left(1+it\right)|}$
by: Qingyi, Eunice Hoo, et al.
Published: (2024)
by: Qingyi, Eunice Hoo, et al.
Published: (2024)
Jacob's ladders, our asymptotic formulae (1981) and next $ζ$-equivalents of the Fermat-Wiles theorem together with decomposition and synthesis of the Riemann's $ζ$-oscillators
by: Moser, Jan
Published: (2025)
by: Moser, Jan
Published: (2025)
Inequalities for $ζ(s)-ψ(1-s)$ related to a conjecture of Henry
by: Gao, Liwen, et al.
Published: (2026)
by: Gao, Liwen, et al.
Published: (2026)
A Formal Proof of the Irrationality of $ζ(3)$ in Lean 4
by: Liu, Junqi, et al.
Published: (2025)
by: Liu, Junqi, et al.
Published: (2025)
The linear independence of $1$, $ζ(2)$, and $L(2,χ_{-3})$
by: Calegari, Frank, et al.
Published: (2024)
by: Calegari, Frank, et al.
Published: (2024)
Identities for the product of Two Dirichlet Series Satisfying Hecke's Functional Equation
by: Berndt, Bruce C., et al.
Published: (2024)
by: Berndt, Bruce C., et al.
Published: (2024)
Contour Integration and Cyclotomic Apéry-Like Series Involving Generalized Binomial Coefficients
by: Xu, Ce
Published: (2025)
by: Xu, Ce
Published: (2025)
A survey of moment bounds for $ζ(s)$: from Heath Brown's work to the present
by: Florea, Alexandra
Published: (2025)
by: Florea, Alexandra
Published: (2025)
On $r$-isogenies over $\mathbb{Q}(ζ_r)$ of elliptic curves with rational $j$-invariants
by: Najman, Filip
Published: (2023)
by: Najman, Filip
Published: (2023)
Further Classes of Series Involving Central Binomial Coefficients
by: Dilcher, Karl, et al.
Published: (2025)
by: Dilcher, Karl, et al.
Published: (2025)
Modular Forms and Numerical Explorations of Rational Approximations to $ζ(3)$
by: Bortolotto, Cynthia, et al.
Published: (2026)
by: Bortolotto, Cynthia, et al.
Published: (2026)
Explicit $L^2$ bounds for the Riemann $ζ$ function
by: Dona, Daniele, et al.
Published: (2019)
by: Dona, Daniele, et al.
Published: (2019)
New zero-density estimates for the Beurling $ζ$ function
by: Révész, Szilárd Gy., et al.
Published: (2024)
by: Révész, Szilárd Gy., et al.
Published: (2024)
The relationship between face cuboids and elliptic curves
by: Yoshida, Takumi
Published: (2024)
by: Yoshida, Takumi
Published: (2024)
Cyclotomic symmetric multiple zeta values span the space of cyclotomic multiple zeta values
by: Anzawa, Takumi
Published: (2024)
by: Anzawa, Takumi
Published: (2024)
A Lie algebra associated with adjoint multiple zeta values
by: Anzawa, Takumi
Published: (2025)
by: Anzawa, Takumi
Published: (2025)
An elementary derivation of the formula of Yu.V. Nesterenko expansion in continued fraction of a number 2*$ζ(3)$
by: Gladkovskii, S. N.
Published: (2024)
by: Gladkovskii, S. N.
Published: (2024)
On the Atkinson formula for the $ζ$ function
by: Dona, Daniele, et al.
Published: (2021)
by: Dona, Daniele, et al.
Published: (2021)
Euler Product Asymptotics for Dirichlet $L$-Functions
by: Kaneko, Ikuya
Published: (2019)
by: Kaneko, Ikuya
Published: (2019)
Dirichlet improvability for $S$-numbers
by: Das, Sourav, et al.
Published: (2022)
by: Das, Sourav, et al.
Published: (2022)
Murmurations of Dirichlet characters
by: Lee, Kyu-Hwan, et al.
Published: (2023)
by: Lee, Kyu-Hwan, et al.
Published: (2023)
From Euler to AI: Unifying Formulas for Mathematical Constants
by: Raz, Tomer, et al.
Published: (2025)
by: Raz, Tomer, et al.
Published: (2025)
Zero-free half-planes of the ζ-function via spaces of analytic functions
by: Ghosh, Aditya, et al.
Published: (2022)
by: Ghosh, Aditya, et al.
Published: (2022)
Beukers-like proofs of irrationality for $ζ{(2)}$ and $ζ{(3)}$
by: Lima, F. M. S.
Published: (2013)
by: Lima, F. M. S.
Published: (2013)
Continuation of Dirichlet series I
by: Smith, Kevin
Published: (2025)
by: Smith, Kevin
Published: (2025)
Algebraic representatives of the ratios $ζ(2n+1)/π^{2n}$ and $β(2n)/π^{2n-1}$
by: Waffo, Luc Ramsès Talla
Published: (2026)
by: Waffo, Luc Ramsès Talla
Published: (2026)
Jacob's ladders, our old formula (1985) and new $ζ$-equivalent of the Fermat-Wiles theorem on two-parametric set of lemniscates of Bernoulli
by: Moser, Jan
Published: (2025)
by: Moser, Jan
Published: (2025)
Conjunctions of Three "Euler Constants" in Poisson-Related Expressions
by: Powers, Michael R.
Published: (2025)
by: Powers, Michael R.
Published: (2025)
Dyadic multi-scale decomposition and quadratic relations for ζ(x)
by: Ronsyn, GAËL
Published: (2026)
by: Ronsyn, GAËL
Published: (2026)
Similar Items
-
Polylogarithmic Analogues of Euler's Constant
by: Noda, Takumi
Published: (2026) -
Approximation Of Logarithm, Factorial And Euler Mascheroni Constant Using Odd Harmonic Series
by: Wadhawan, Narinder Kumar, et al.
Published: (2025) -
Evaluating $ζ(s)$ At Odd Positive Integers Using Automatic Dirichlet Series
by: Tóth, László
Published: (2025) -
On the Uniqueness of Ein(1) among Linear Combinations of the Euler-Mascheroni and Euler-Gompertz Constants
by: Powers, Michael R.
Published: (2025) -
Fast formulas for the Hurwitz values $ζ(2,a)$ and $ζ(3,a)$
by: Guillera, Jesús
Published: (2025)