Work

Distribution of integer points on determinant surfaces and a mod‐ p analogue

Year: 2026

Type: article

Abstract: We establish an asymptotic formula for counting integer solutions with smooth weights to an equation of the form , where is a non‐zero integer, with an explicit main term and a strong bound on the error term in terms of the size of the variables as well as of . We also establish an asymptotic formula for counting integer solutions with smooth weights to the congruence , where is a large prime, with a strong bound on the error term.

Source: Mathematika

DOI: 10.1112/mtk.70093

Authors: Satadal Ganguly, Rachita Guria

Institutions: Indian Statistical Institute, Max Planck Institute for Mathematics

Language: English

Topic: Analytic Number Theory Research

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,930

OpenAlex ID: W7154010051

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Cites: 16

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