Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4585194 | Journal of Algebra | 2013 | 19 Pages |
Abstract
If M=Z>0 is the multiplicative monoid of positive integers with deg=log, then PM,deg(exp(âs)) is Riemann zeta function and the inversion formula turns out to be the Euler product formula. We discuss more examples on the behavior of the analytic function NM,deg(exp(âs)) on the boundary line â(s)=abscissa of absolute convergence of PM,deg(exp(âs)).
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Kyoji Saito,