4 citations · 11 across the 13 of their papers we have counts for
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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…
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…
Meromorphy of the rank one unit root L-function revisited
C. Douglas Haessig
We demonstrate that Wan's alternate description of Dwork's unit root L-function in the rank one case may be modified to give a proof of meromorphy that is classical, eliminating th…