Let f be an arithmetic function and let S# denote the extended Selberg class. We denote by L(s)=∑n=1∞f(n)ns the Dirichlet series attached to f. The Laurent–Stieltjes constants of L(s) , which belongs to S#, are the coefficients of the Laurent expansion of L at its pole s= 1. In this paper, we give an upper bound of these constants, which is a generalization of many known results.
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory