On the number of integral ideals of a number field

2020/02/15 by K, Krishnarjun
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2002.06342

Abstract

In this paper we study the problem of the first moment of the Dedekind zeta function of a number field K and improve the error term. As a ready generalization of our proof, we improve the error term in the Piltz divisor problem.

Related

• Counting ideals in polynomial rings
• Counting ideals in abelian number fields
• Explicit conditional bounds for the residue of a Dedekind zeta-function at s=1
• Orbital integrals and Dedekind zeta functions
• Piltz divisor problem over number fields à la Voronoï