Image de couverture de livre

Sharper bounds for the error in the prime number theorem assuming the Riemann Hypothesis

Fuente: arXiv

Enregistré dans:

Détails bibliographiques
Auteurs principaux:	Lee, Ethan Simpson, Nosal, Paweł
Format:	Preprint
Publié:	2023
Sujets:	Number Theory 11N05, 11L20, 11Y60, 11Y60, 11Y35
Accès en ligne:	Acceder al recurso
Tags:	Ajouter un tag Pas de tags, Soyez le premier à ajouter un tag!

Documents similaires

On the error in the prime number theorem in short intervals
par: Lee, Ethan Simpson
Publié: (2024)

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

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

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

Primes and almost primes between cubes
par: Johnston, Daniel R., et autres
Publié: (2026)

An annotated bibliography for comparative prime number theory
par: Martin, Greg, et autres
Publié: (2023)

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

Fast Ramanujan-type Series for Logarithms. Part I
par: Zuniga, Jorge
Publié: (2025)

On Erdős sums of almost primes
par: Gorodetsky, Ofir, et autres
Publié: (2023)

Integer Sets of Large Harmonic Sum Which Avoid Long Arithmetic Progressions
par: Walker, Alexander
Publié: (2022)

On the Existence of Integers with at Most 3 Prime Factors Between Every Pair of Consecutive Squares
par: Campbell, Peter J.
Publié: (2026)

Explicit isogenies of prime degree over number fields
par: Banwait, Barinder S., et autres
Publié: (2022)

Numerical estimates on the Landau-Siegel zero and other related quantities
par: Languasco, Alessandro
Publié: (2023)

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

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

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

The number of primes not in a numerical semigroup
par: Chen, Yong-Gao, et autres
Publié: (2025)

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

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

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

On the sum of a prime and a square-free number co-prime to any integer with at most two prime factors
par: Lee, Ethan S., et autres
Publié: (2025)

Explicit Burgess inequalities for cubefree moduli
par: Hasanalizade, Elchin, et autres
Publié: (2025)

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

An extension of the Chudnovsky algorithm
par: Campbell, John M.
Publié: (2024)

Relative class numbers and Euler-Kronecker constants of maximal real cyclotomic subfields
par: Kandhil, Neelam, et autres
Publié: (2024)

A Constructive Heuristic Sieve for the Twin Prime Problem
par: Shi, Yuhang
Publié: (2025)

On the error term in the explicit formula of Riemann--von Mangoldt
par: Cully-Hugill, Michaela, et autres
Publié: (2021)

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

Deterministic methods for finding elements of large multiplicative order
par: Harvey, David, et autres
Publié: (2026)

First-degree prime ideals of composite extensions
par: Santilli, Giordano, et autres
Publié: (2021)

Generating random factorisations of polynomial values
par: Badziahin, Dmitry
Publié: (2025)

Cyclic isogenies of elliptic curves over fixed quadratic fields
par: Banwait, Barinder S., et autres
Publié: (2022)

Torsion subgroups of elliptic curves over quadratic fields and a conjecture of Granville
par: Banwait, Barinder S., et autres
Publié: (2024)

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

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

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

Ours go to 211: Euler pseudoprimes to 47 prime bases (from Carmichael numbers)
par: Sánchez, Alejandra Alcantarilla, et autres
Publié: (2026)

An upper bound for the second moment of the length of the period of the continued fraction expansion for $\sqrt{d}$
par: Korolev, M. A.
Publié: (2024)

The Kummer ratio of the relative class number for prime cyclotomic fields
par: Kandhil, Neelam, et autres
Publié: (2024)

A primality test for $Kp^\ell - 1$ numbers
par: Jakhar, Anuj, et autres
Publié: (2026)