Oscillations of a given size of some arithmetic error terms

DOI10.1090/S0002-9947-09-04803-XzbMath1184.11029MaRDI QIDQ3395548

Kazimierz Wiertelak, Jerzy Kaczorowski

Publication date: 11 September 2009

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

primes in arithmetic progressionsremainder termsprime number formulanumber of sign changessquare-free divisors of integers

Mathematics Subject Classification ID

Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26) Primes in congruence classes (11N13) Distribution of integers with specified multiplicative constraints (11N25) Distribution of primes (11N05)

Related Items (5)

Oscillations of the remainder term related to the Euler totient function ⋮ Irrational factor races ⋮ Ω-estimates related to irreducible algebraic integers ⋮ Smoothing arithmetic error terms: the case of the Euler φ function ⋮ On the distribution of irreducible algebraic integers

Cites Work

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• On sign-changes in the remainder-term of the prime-number formula, IV
• Conditional Asymptotic Formulae for a Class of Arithmetic Functions
• THE SQUARE-FREE DIVISOR PROBLEM
• THE SQUARE-FREE DIVISOR PROBLEM II
• Ω-estimates for a class of arithmetic error terms
• The number of k-free divisors of an integer

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