3 papers
math.NT2026
Distribution of differences of characters evaluated at consecutive polynomial values
Nilanjan Bag, Dwaipayan Mazumder
In this paper, we study the distribution of difference of multiplicative and additive characters modulo at consecutive polynomial values. More precisely, for an interval ov…
math.NT2025
Moment of double exponential sums
Nilanjan Bag, Dwaipayan Mazumder
This paper is devoted to finding moments of double exponential sums with monomials over arbitrary sets and intervals in finite fields. The study of such sums dates back to the work…
math.NT2025
Multiple exponential sums and their applications to quadratic congruences
Nilanjan Bag, Stephan Baier, Anup Haldar
In this paper, we develop a method of evaluating general exponential sums with rational amplitude functions for multiple variables which complements works by T. Cochrane and Z. Zhe…