Image de couverture de livre

On proving an Inequality of Ramanujan using Explicit Order Estimates for the Mertens Function

Fuente: arXiv

Enregistré dans:

Détails bibliographiques
Auteur principal:	De, Subham
Format:	Preprint
Publié:	2024
Sujets:	General Mathematics Primary 11A41, 11A25, 11N05, 11N37, 11N56 Secondary 11M06, 11M26
Accès en ligne:	Acceder al recurso
Tags:	Ajouter un tag Pas de tags, Soyez le premier à ajouter un tag!

Documents similaires

Inequalities involving Higher Degree Polynomial Functions in $π(x)$
par: De, Subham
Publié: (2024)

A Dynamical Criterion Equivalent to the Riemann Hypothesis
par: Kuipers, Hendrik Wladimir Albrecht Edwin
Publié: (2025)

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

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

Completely Additive Height Functions: Profile Laws, Matula Bounds, and Inverse Growth
par: Bal, Hartosh Singh
Publié: (2023)

Moments of averages of generalized Ramanujan sums
par: Robles, Nicolas, et autres
Publié: (2015)

On Maximal Values of Gronwall Numbers for Integers with Given Greatest Prime Factor and Remainder in Modified Mertens Formula
par: Kalyabin, Gennadiy A.
Publié: (2026)

Oscillation results for the summatory functions of fake mu's
par: Martin, Greg, et autres
Publié: (2024)

Mean values of long Dirichlet polynomials with divisor coefficients
par: Cicek, Fatma, et autres
Publié: (2023)

A round of Pintz to celebrate oscillations in sums
par: Johnston, Daniel R., et autres
Publié: (2025)

Off Critical Zeros Contradict Contraction in the Dynamical Reformulation of the Riemann Hypothesis
par: Kuipers, Hendrik Wladimir Albrecht Edwin
Publié: (2025)

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

Robin inequality,Lagarias criterion, and Riemann hypothesis
par: Sabihi, Ahmad
Publié: (2016)

A new zero-density estimate for $ζ(s)$ and the error term in the Prime Number Theorem
par: Bellotti, Chiara
Publié: (2025)

Möbius function and primes: an identity factory with applications
par: Ramaré, Olivier, et autres
Publié: (2023)

Parity results concerning the generalized divisor function involving small prime factors of integers
par: Alladi, Krishnaswami, et autres
Publié: (2024)

A Tauberian characterization of the Riemann hypothesis through the floor function
par: Cloitre, Benoit
Publié: (2024)

Large value estimates for Dirichlet polynomials, and the density of zeros of Dirichlet's $L$-functions
par: Chen, Bin
Publié: (2025)

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

Duality Between Prime Factors and The Prime Number Theorem For Arithmetic Progressions -- Higher Order Dualities
par: Alladi, Krishnaswami, et autres
Publié: (2026)

Structural Obstructions in Fixed-Shift Prime Correlations via Mellin-Laplace Kernels
par: Chen, Yung-Hua
Publié: (2025)

On the Least Colossally Abundant Exception to Robin's Inequality
par: Zimov, Bruce
Publié: (2025)

A fully new path to prove Riemann Hypothesis
par: Zhu, Jing Min
Publié: (2018)

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

The $S$-$E$ route to the Chebyshev bounds for the prime-counting function
par: Hubbard, Kai
Publié: (2026)

The Collision Transform
par: Petty, Alexander S.
Publié: (2026)

Analytic Number Theory and Algebraic Asymptotic Analysis
par: Elliott, Jesse
Publié: (2024)

The Collision Spectrum
par: Petty, Alexander S.
Publié: (2026)

On the Mean Value of a Weighted Composite Arithmetic Function
par: Bouderbala, Mihoub
Publié: (2026)

An asymptotic expansion for a Lambert series associated to Siegel cusp forms of degree $n$
par: Babita, et autres
Publié: (2024)

Arithmetic constants for symplectic variances of the divisor function
par: Kuperberg, Vivian, et autres
Publié: (2024)

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

Zero-density estimates and the optimality of the error term in the prime number theorem
par: Johnston, Daniel R.
Publié: (2024)

Bounds for the distribution of the Frobenius traces associated to a generic abelian variety
par: Cojocaru, Alina Carmen, et autres
Publié: (2022)

A family of analogues to the Robin criterion
par: Fan, Steve, et autres
Publié: (2025)

On the tower factorization of integers
par: De Koninck, Jean-Marie, et autres
Publié: (2023)

An explicit result for short sums of positive arithmetic functions
par: Bordellès, Olivier
Publié: (2024)

On the connection between zero-free regions and the error term in the Prime Number Theorem
par: Broucke, Frederik
Publié: (2025)

Least Consecutive Pair of Primitive Roots
par: Carella, N. A.
Publié: (2026)

Small Prime Primitive Roots in Arithmetic Progressions
par: Carella, N. A.
Publié: (2025)