Accession Number:

AD0661238

Title:

THEOREMS ABOUT BEURLING'S GENERALIZED PRIMES AND THE ASSOCIATED ZETA FUNCTION.

Descriptive Note:

Technical rept.,

Corporate Author:

ILLINOIS UNIV URBANA

Personal Author(s):

Report Date:

1967-06-01

Pagination or Media Count:

77.0

Abstract:

Beurling defined a set, P, of generalized prime numbers as any non-decreasing unbounded sequence of real numbers which are greater than one. The multiplicative semi-group, N, generated by the elements of P is called the associated set of generalized integers. The functions Pi x and N x are defined, respectively, as the number of generalized prime and integers less than or equal to x. This paper is concerned with deducing the behaviour of Pi x from that of N x.

Subject Categories:

  • Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE