Year: 2025
Type: article
Abstract: In this paper, we develop a method of evaluating general exponential sums with rational amplitude functions for multiple variables, which complements work by T. Cochrane and Z. Zheng on the single variable case. As an application, for , a fixed natural number, we obtain an asymptotic formula for the (weighted) number of solutions of general quadratic congruences modulo in small boxes, thus establishing an equidistribution result for these solutions.
Source: Mathematische Nachrichten
DOI: 10.1002/mana.70063
Authors: Nilanjan Bag, Stephan Baier, Anup Haldar
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4415545447