Prime and zero distributions for meromorphic Euler products
نویسنده
چکیده
The aim of the present paper is to study the relations between the prime distribution and the zero distribution for generalized zeta functions which are expressed by an Euler products and are analytically continued as meromorphic functions of finite order. In this paper, we give an inequality between the order of the zeta function as a meromorphic function and the growth of the multiplicity in the prime distribution.
منابع مشابه
Zero distributions for meromorphic Euler products
The aim of the present paper is to study distributions of singular points of a zeta function which is expressed by an Euler product and is analytically continued as a meromorphic function of finite order. In this manuscript, we give a relation between the growth of the multiplicities for the norms of primitive elements and the order of the zeta function as a meromorphic function.
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