Cover Image

Smooth numbers in arithmetic progressions to large moduli

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Pascadi, Alexandru
Format:	Preprint
Published:	2023
Subjects:	Number Theory 11N25
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

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

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

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

Friable averages of complex arithmetic functions
by: de la Bretèche, Régis, et al.
Published: (2023)

On the exponent of distribution for convolutions of $\mathrm{GL(2)}$ coefficients to smooth moduli
by: Yin, Rongjie
Published: (2025)

On a family of arithmetic series related to the Möbius function
by: Tenenbaum, Gérald
Published: (2024)

Smooth Numbers in Short Intervals
by: Jain, Sarvagya
Published: (2025)

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

On extreme values of $r_3(n)$ in arithmetic progressions
by: Filaseta, Michael, et al.
Published: (2024)

Rough numbers between consecutive primes
by: Gafni, Ayla, et al.
Published: (2025)

On additive convolution sum of arithmetic functions and related questions
by: Misra, Bikram, et al.
Published: (2025)

Squarefree numbers in short intervals
by: Pandey, Mayank
Published: (2024)

Powered numbers in short intervals II
by: Chan, Tsz Ho
Published: (2024)

Magic partition functions: Sign smoothing convolutions with Dirichlet invertible arithmetic functions
by: Schmidt, Maxie Dion
Published: (2026)

The large sieve for square moduli, revisited
by: Baier, Stephan
Published: (2025)

On moments of gaps between consecutive squarefree numbers
by: Chan, Tsz Ho
Published: (2023)

An extension of smooth numbers: multiple dense divisibility
by: Sarajian, Garo, et al.
Published: (2025)

On effective mean-values of arithmetic functions
by: Tenenbaum, Gérald
Published: (2025)

Roth's Theorem in Super Smooth Numbers
by: Wijaya, Laurence P.
Published: (2025)

On local laws for the number of small prime factors
by: Tenenbaum, Gérald
Published: (2018)

A link between error terms when counting smooth and rough numbers
by: Weingartner, Andreas
Published: (2026)

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

Mean values of arithmetic functions and application to sums of powers
by: de la Bretèche, Régis, et al.
Published: (2024)

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

On primary Carmichael numbers
by: Kellner, Bernd C.
Published: (2019)

Uniform distribution of polynomially-defined additive function to varying moduli
by: Akande, Agbolade Patrick
Published: (2024)

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

Every arithmetic progression contains infinitely many $b$-Niven numbers
by: Harrington, Joshua, et al.
Published: (2023)

Class numbers and integer points on some Pellian surfaces
by: Diao, Yijie
Published: (2024)

An upper bound for the number of smooth values of a polynomial and its applications
by: Mine, Masahiro
Published: (2024)

On the number of $k$-full integers between three successive $k$-th powers
by: Narumi, Shusei, et al.
Published: (2025)

Refinements for primes in short arithmetic progressions
by: Harm, Michael
Published: (2025)

On a Problem by Erdős and Mirsky on the ratio of the number of divisors of consecutive integers
by: Schlage-Puchta, Jan-Christoph
Published: (2025)

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

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

The sum of the reciprocals of the prime divisors of an odd perfect or odd primitive non-deficient number
by: Zelinsky, Joshua
Published: (2024)

Must a primitive non-deficient number have a component not much larger than its radical?
by: Zelinsky, Joshua
Published: (2020)

Explicit sieve estimates and nonexistence of odd multiperfect numbers of a certain form
by: Yamada, Tomohiro
Published: (2021)

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

On the friable mean-value of the Erdős-Hooley Delta function
by: Martin, Bruno, et al.
Published: (2023)