5 citations · 5 across the 3 of their papers we have counts for
3 papers
math.NT2023
A translation of N.M. Katz's "Exponential Sums"
David T. Nguyen
These notes are devoted to the theory of exponential sums over finite fields. The first chapter recalls some of the number-theoretic interest of such sums. The second chapter discu…
math.NT2023★ 5 cited
Generalized divisor functions in arithmetic progressions: I
David T. Nguyen
We prove some distribution results for the -fold divisor function in arithmetic progressions to moduli that exceed the square-root of length of the sum, with appropriate con…
math.NT2023
On Ramanujan-Fourier expansions
David T. Nguyen
We heuristically study the shifted convolution using a normalized version of Ramanujan-Fourier expansions for and verify they produce th…