| Title |
Asymptotic distribution of Beurling integers / |
| Authors |
Garunkštis, Ramūnas ; Kaziulytė, Laima |
| DOI |
10.1142/S179304211850152X |
| Full Text |
|
| Is Part of |
International journal of number theory.. Singapore : World Scientific Publishing Company. 2018, vol. 14, iss. 10, p. 2555-2569.. ISSN 1793-0421. eISSN 1793-7310 |
| Keywords [eng] |
Generalized primes ; generalized prime counting function ; Beurling integers ; asymptotic distribution ; Beurling zeta function ; Hankel contour |
| Abstract [eng] |
We study generalized prime systems P and generalized integer systems N obtained from them. The asymptotic distribution of generalized integers is deduced assuming that the generalized prime counting function pi(P)(x) behaves as pi(P) (x) = b li(x) + O(x(alpha)) for some b > 0 and alpha is an element of (1/2,1). |
| Published |
Singapore : World Scientific Publishing Company |
| Type |
Journal article |
| Language |
English |
| Publication date |
2018 |
