Work

Shifted moments of cubic and quartic Dirichlet L-functions

Year: 2026

Type: article

Abstract: We establish upper bounds for shifted moments of cubic and quartic Dirichlet L -functions under the generalized Riemann hypothesis. As applications, we prove bounds for moments of cubic and quartic Dirichlet character sums.

Source: Monatshefte für Mathematik

DOI: 10.1007/s00605-026-02207-0

Authors: Peng Gao, Liangyi Zhao

Institutions: Beihang University, UNSW Sydney

Language: English

Topic: Analytic Number Theory Research

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

Funders: University of New South Wales, National Natural Science Foundation of China

Award: G7490036029

OpenAlex ID: W4415239920

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