Cover Image

Set-theoretical entropies of Euler's totient function and other number theoretical special functions

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Shirazi, Fatemah Ayatollah Zadeh, Yaghmaeian, Reza
Format:	Preprint
Published:	2018
Subjects:	Number Theory 11A25, 11Y70, 33F99
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Antiquantum $q$-series identities and mock theta functions
by: Folsom, Amanda, et al.
Published: (2025)

Amicable numbers and their connection to the Euler totient function
by: Mavaddat, Ali Reza, et al.
Published: (2025)

On a Recursive Integer Sequence Implying the Nonexistence of Odd Perfect Numbers
by: Dwivedi, Ritesh, et al.
Published: (2025)

Monotone non-decreasing sequences of the Euler totient function
by: Tao, Terence
Published: (2023)

On a problem on a generalization of Euler's totient function
by: Campbell, John M.
Published: (2026)

Computation of the Totient Summatory Function
by: Brown, Lucas Augustus
Published: (2025)

Atkin polynomials for families of abelian varieties with real multiplication
by: Bogo, Gabriele, et al.
Published: (2026)

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

A proof of Spence's formula using the reciprocity law for Dedekind sums
by: Brown, Steven
Published: (2026)

Distribution of neighboring values of the Liouville and Möbius functions
by: Luo, Qi, et al.
Published: (2024)

Uniform effective estimates for $\vert L(1,χ)\vert$
by: Languasco, Alessandro, et al.
Published: (2020)

On the approximation gain for abc-triples
by: de Weger, Benne
Published: (2026)

Relative Trace Formula And Simultaneous Nonvanishing for GL_3 x GL_2 and GL_3 x GL_1 L-functions
by: Michel, Philippe, et al.
Published: (2024)

A catalog of interesting and useful Lambert series identities
by: Schmidt, Maxie Dion
Published: (2020)

Determination of certain mod $p$ Galois representations using local constancy
by: Ganguli, Abhik, et al.
Published: (2024)

Eisenstein cohomology and congruences for the ratios of Rankin--Selberg $L$-functions
by: Narayanan, P., et al.
Published: (2025)

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

Some Diophantine equations involving arithmetic functions and Bhargava factorials
by: Baczkowski, Daniel M., et al.
Published: (2024)

The summatory function of the Möbius function involving the greatest common divisor
by: Kiuchi, Isao, et al.
Published: (2024)

Representation of Ramanujan's tau function by twisted divisor functions
by: Ni, Tianyu
Published: (2026)

The arithmetic of continued fractions in the field of $p$-adic numbers
by: Romeo, Giuliano, et al.
Published: (2025)

Euler-type recurrences for $t$-color and $t$-regular partition functions
by: Bhowmik, Tapas, et al.
Published: (2024)

On Proving Ramanujan's Inequality using a Sharper Bound for the Prime Counting Function $π(x)$
by: De, Subham
Published: (2024)

Bianchi period polynomials: Hecke action and congruences
by: Combes, Lewis
Published: (2023)

On the Sum of Squarefree Integers and a Power of Two
by: Hercher, Christian
Published: (2024)

Counting locally supercuspidal newforms
by: Knightly, Andrew
Published: (2023)

Bounded-box reductions in the Subbarao-Warren problem for unitary perfect numbers
by: Maciejewski, Tom
Published: (2026)

On the representation of number-theoretic functions by arithmetic terms
by: Prunescu, Mihai, et al.
Published: (2024)

Set-theoretical entropies of weighted generalized shifts
by: Shirazi, Fatemah Ayatollah Zadeh, et al.
Published: (2022)

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

A Perfect Number Generalization and Some Euclid-Euler Type Results
by: Ross, Tyler
Published: (2025)

The denominators of harmonic numbers (Revised)
by: Shiu, Peter
Published: (2016)

Counting numbers that are divisible by the product of their digits
by: He, Qizheng, et al.
Published: (2024)

Ours go to 211: Euler pseudoprimes to 47 prime bases (from Carmichael numbers)
by: Sánchez, Alejandra Alcantarilla, et al.
Published: (2026)

Advances in Tabulating Carmichael Numbers
by: Shallue, Andrew, et al.
Published: (2024)

Relative completed cohomologies and modular symbols
by: Liu, Dongwen, et al.
Published: (2017)

A note on the $q$-adic valuation of $σ_k(n)$
by: Bordellès, Olivier
Published: (2026)

Cohomology classes, periods, and special values of Rankin-Selberg $L$-functions
by: Jin, Yubo, et al.
Published: (2024)

On Eswarathasan--Levine and Boyd's conjectures for harmonic numbers
by: Carofiglio, Leonardo, et al.
Published: (2025)

Periodic points in complex continued fractions by J. Hurwitz
by: Yasutomi, Shin-ichi
Published: (2024)