Work

Mean square of inverses of Dirichlet $L$-functions involving conductors

Year: 2026

Type: article

Abstract: We deal with negative square moments of Dirichlet $L$-functions. Summing over characters modulo $q$, we obtain an asymptotic formula for the negative second moment of $L(1, \chi)$ involving conductors. We also show an application to the analysis of a number theoretic algorithm.

Source: Journal of the Mathematical Society of Japan

DOI: 10.2969/jmsj/94989498

Authors: Iu-Iong NG, Yuichiro TOMA

Institution: Waseda University

Language: English

Topic: Analytic Number Theory Research

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4406735101

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