4 citations · 11 across the 13 of their papers we have counts for
14 papers
On partial T-adic exponential sums and partial exponential sums with p-power conductor
C. Douglas Haessig
Liu and Wan introduced T-adic exponential sums as a way to interpolate all character sums with character having p-power conductor. In this paper, we generalize their T-adic theory…
-adic Theory for Partial Toric Exponential Sums
C. Douglas Haessig
Wan proved the rationality of partial toric -functions using -adic techniques. In this paper, we present a -adic proof in the spirit of Dwork. We demonstrate that parti…
Partial zeta functions, partial exponential sums, and p-adic estimates
Noah Bertram, Xiantao Deng, C. Douglas Haessig +1
Partial zeta functions of algebraic varieties over finite fields generalize the classical zeta function by allowing each variable to be defined over a possibly different extension…
Kloosterman sums and Hecke polynomials in characteristics 2 and 3
C. Douglas Haessig
In this paper we give a modular interpretation of the -th symmetric power -function of the Kloosterman family of exponential sums in characteristics 2 and 3, and in the case…
Tiling, circle packing and exponential sums over finite fields
C. D. Haessig, A. Iosevich, J. Pakianathan +2
We study the problem of tiling and packing in vector spaces over finite fields, its connections with zeroes of classical exponential sums, and with the Jacobian conjecture
L-functions of symmetric powers of Kloosterman sums (unit root L-functions and p-adic estimates)
C. Douglas Haessig
The L-function of symmetric powers of classical Kloosterman sums is a polynomial whose degree is now known, as well as the complex absolute values of the roots. In this paper, we p…