Work

Self-correlations of Hurwitz class numbers

Year: 2025

Type: article

Abstract: The asymptotic study of class numbers of binary quadratic forms is a foundational problem in arithmetic statistics.Here, we investigate finer statistics of class numbers by studying their self-correlations under additive shifts.Specifically, we produce uniform asymptotics for the shifted convolution sum P n

Source: Algebra & Number Theory

DOI: 10.2140/ant.2025.19.2433

Author: Alexander Walker

Institution: University College London

Language: English

Topic: Analytic Number Theory Research

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Funders: Vetenskapsrådet, Engineering and Physical Sciences Research Council, Division of Mathematical Sciences

Awards: Institut Mittag-Leffler, Additional Funding for Mathematical Sciences: Heilbronn Institute for Mathematical Research, Institut Mittag-Leffler, G4317470034, G7192499587