5 citations · 6 across the 6 of their papers we have counts for
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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…
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…
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…
A note on
David Nguyen
It is a classic result of Selberg in the 1950's that , where is the level of distribution of the divisor function in arithmetic progressions (defined more precisel…