Oscillations of a given size of some arithmetic error terms-Reference-Cited by-同舟云学术

Oscillations of a given size of some arithmetic error terms

Published:2009-04-20 Issue:9 Volume:361 Page:5023-5039
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Kaczorowski Jerzy,Wiertelak Kazimierz

Abstract

A general method of estimating the number of oscillations of a given size of arithmetic error terms is developed. Special attention is paid to the remainder terms in the prime number formula, in the Dirichlet prime number theorem for primes in arithmetic progressions and to the remainder term in the asymptotic formula for the number of square free divisors of an integer.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/2009-361-09/S0002-9947-09-04803-X/S0002-9947-09-04803-X.pdf

Reference22 articles.

1. The square-free divisor problem;Baker, R. C.;Quart. J. Math. Oxford Ser. (2),1994

2. The square-free divisor problem. II;Baker, R. C.;Quart. J. Math. Oxford Ser. (2),1996

3. The number of squarefree divisors of an integer;Gioia, A. A.;Duke Math. J.,1966

4. On sign-changes in the remainder-term of the prime-number formula. I;Kaczorowski, J.;Acta Arith.,1984

5. On sign-changes in the remainder-term of the prime-number formula. I;Kaczorowski, J.;Acta Arith.,1984

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