Cover Image

Digamma function and general Fischer series in the theory of Kempner sums

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Burnol, Jean-François
Format:	Preprint
Published:	2024
Subjects:	Number Theory 11Y60, 11M06 (Primary) 11A63, 44A60, 30C10, 41A60 (Secondary)
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

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

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

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

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

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

Some series representing the zeta function for $\Re s>1$
by: Burnol, Jean-François
Published: (2026)

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

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

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

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

Baker's dozen digits of two sums involving reciprocal products of an integer and its greatest prime factor
by: Gogoberidze, Tengiz O.
Published: (2024)

The joint distribution of binary and ternary digits sums
by: Drmota, Michael, et al.
Published: (2025)

Note on the $a$-points of the Riemann zeta function
by: Hang, Peng-Cheng, et al.
Published: (2024)

New explicit bounds for Mertens function and the reciprocal of the Riemann zeta-function
by: Lee, Ethan S., et al.
Published: (2022)

On a BBP-type formula for $π^2$ in the golden ratio base
by: Cloitre, Benoit
Published: (2025)

Asymptotic products of binomial and multinomial coefficients revisited
by: Kellner, Bernd C.
Published: (2023)

Upper Bounds for Digitwise Generating Functions of Powers of Two: A Problem and a Matrix Representation
by: Noda, Hideaki
Published: (2025)

A naive integral
by: de Reyna, Juan Arias
Published: (2024)

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

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

On rates of convergence in central limit theorems of Selberg and Bourgade
by: Hsu, Po-Han, et al.
Published: (2026)

Refinements of Artin's primitive root conjecture
by: Goldmakher, Leo, et al.
Published: (2025)

Arithmetic sensitivity of cumulant growth in lacunary sums: transcendental versus algebraic ratio limits
by: Aistleitner, Christoph, et al.
Published: (2025)

On certain harmonic zeta functions
by: Can, Mümün, et al.
Published: (2024)

On Erdős sums of almost primes
by: Gorodetsky, Ofir, et al.
Published: (2023)

Comparison of algorithms to calculate quadratic irregularity of prime numbers
by: Holden, Joshua
Published: (2000)

First-hit analysis of algorithms for computing quadratic irregularity
by: Holden, Joshua
Published: (2000)

On the generalized inverse tangent integral and Catalan's constant
by: Vlachopulos, Petr
Published: (2026)

Large deviations for number of irreducible divisors of the Dirichlet series distribution
by: Cranston, Michael, et al.
Published: (2025)

Arithmetic constants for symplectic variances of the divisor function
by: Kuperberg, Vivian, et al.
Published: (2024)

Constrained PSLQ Search for Machin-like Identities Achieving Record-Low Lehmer Measures
by: Craig-Wood, Nick
Published: (2025)

On the Density of Low Lying Zeros of a Large Family of Automorphic $L$-functions
by: Cheek, Timothy, et al.
Published: (2024)

Erdős-Wintner theorem for linear recurrent bases
by: Verwee, Johann
Published: (2025)

A Deterministic Cryptographic Prime Generation Chain over Monogenic Cubic Number Fields and their Generalizations
by: Jakhar, Anuj, et al.
Published: (2026)

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

A Wasserstein metric approach to generalized Skewes' numbers. I. Prime number races
by: Bailleul, Alexandre, et al.
Published: (2026)

A gamma function in two variables
by: Bachraoui, Mohamed El
Published: (2013)

Explicit Burgess inequalities for cubefree moduli
by: Hasanalizade, Elchin, et al.
Published: (2025)

Improved Upper Bound on Brun's Constant Under GRH
by: Dunn, Lachlan
Published: (2025)

$L_q$ norms and Mahler measure of Fekete polynomials
by: Klurman, Oleksiy, et al.
Published: (2023)