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Oscillations of a given size of some arithmetic error terms.
- Source :
-
Transactions of the American Mathematical Society . Apr2009, Vol. 361 Issue 9, p5023-5039. 17p. - Publication Year :
- 2009
-
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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00029947
- Volume :
- 361
- Issue :
- 9
- Database :
- Academic Search Index
- Journal :
- Transactions of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 40313021
- Full Text :
- https://doi.org/10.1090/S0002-9947-09-04803-X