Cover Image

Refinements for primes in short arithmetic progressions

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Harm, Michael
Format:	Preprint
Published:	2025
Subjects:	Number Theory 11L20, 11N05, 11N13
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Primes in simultaneous arithmetic progressions
by: Zheng, Zongkun
Published: (2025)

A pretentious proof of Linnik's estimate for primes in arithmetic progressions
by: Sachpazis, Stelios
Published: (2022)

Refinements to the prime number theorem for arithmetic progressions
by: Thorner, Jesse, et al.
Published: (2021)

On primes in arithmetic progressions and bounded gaps between many primes
by: Stadlmann, Julia
Published: (2023)

Multiple Mertens theorems for arithmetic progressions
by: Chen, Zhen, et al.
Published: (2025)

Diophantine approximation with primes from short intervals
by: Baier, Stephan, et al.
Published: (2025)

Products of primes in arithmetic progressions
by: Matomäki, Kaisa, et al.
Published: (2023)

Primes in arithmetic progressions and short intervals without $L$-functions
by: Matomäki, Kaisa, et al.
Published: (2024)

n-ary elliptic groups, rings, and primes in arithmetic progressions
by: Pirashvili, Ilia
Published: (2026)

Arithmetic progressions of primes in short intervals beyond the 17/30 barrier
by: Hieu, Le Duc
Published: (2025)

On the constants in Mertens' theorems for primes in arithmetic progressions
by: Keliher, Daniel, et al.
Published: (2023)

Real exponential sums over primes and prime gaps
by: Ferreira, Luan Alberto
Published: (2023)

Moments of primes in progressions to a large modulus
by: Leung, Sun-Kai
Published: (2024)

Sign changes of Kloosterman sums with moduli having at most six prime factors
by: Zhang, Tianping, et al.
Published: (2024)

Cusps of primes in dense subsequences -- Bypassing the $W$-trick
by: Ramaré, Olivier
Published: (2024)

Primes in arithmetic progressions under the presence of Landau-Siegel zeroes
by: Sachpazis, Stelios
Published: (2025)

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

Digital functions along Squares of Prime Numbers
by: Drmota, Michael, et al.
Published: (2025)

On nonconvex constellations among primes II: (458,3240)
by: Holt, Fred B.
Published: (2026)

Distribution of products of shifted primes in arithmetic progressions with increasing difference
by: Rakhmonov, Zarullo
Published: (2025)

Quartic Gauss sums over primes and metaplectic theta functions
by: David, Chantal, et al.
Published: (2023)

Almost primes in almost all short intervals II
by: Matomäki, Kaisa, et al.
Published: (2022)

Large sieve inequalities for exceptional Maass forms and the greatest prime factor of $n^2+1$
by: Pascadi, Alexandru
Published: (2024)

Log-free bounds on exponential sums over primes
by: Srivastav, Priyamvad
Published: (2025)

On Telhcirid's theorem on arithmetic progressions
by: Bhowmik, Gautami, et al.
Published: (2024)

Almost primes and primes that are sums of two squares plus one
by: Nath, Kunjakanan, et al.
Published: (2025)

Théorème d'Erdős-Kac dans un régime de grande déviation pour les translatés d'entiers ayant $k$ facteurs premiers
by: Garçonnet, Olivier
Published: (2024)

Polynomial progressions in the generalized twin primes
by: Lott, Andrew, et al.
Published: (2025)

The Piatetski-Shapiro prime number theorem
by: Guo, Lingyu, et al.
Published: (2025)

Sharper bounds for the error in the prime number theorem assuming the Riemann Hypothesis
by: Lee, Ethan Simpson, et al.
Published: (2023)

Explicit bounds for prime K-tuplets
by: Dubbe, Thomas
Published: (2024)

Small gaps between almost-twin primes
by: Chen, Bin
Published: (2024)

Poisson Approximation of prime divisors of shifted primes
by: Ford, Kevin
Published: (2024)

Residue Class Patterns of Consecutive Primes
by: Lau, Cheuk Fung
Published: (2024)

Joint distributions of error terms for primes in arithmetic progressions modulo 11
by: Benli, Kübra, et al.
Published: (2025)

Almost primes between all squares
by: Dudek, Adrian W., et al.
Published: (2025)

A Bombieri-Vinogradov theorem for sectors in real quadratic number fields
by: Baier, Stephan, et al.
Published: (2025)

Distinction between hyper-Kloosterman sums and multiplicative functions
by: Zhang, Yang
Published: (2025)

On the exponents of distribution of primes and smooth numbers
by: Pascadi, Alexandru
Published: (2025)

Reversible primes
by: Dartyge, Cécile, et al.
Published: (2023)