Data for The p-Adic Valuations of Weil Sums of Binomials

The paper can be found at:

D. J. Katz, P. Langevin, S. Lee, and Y. Sapozhnikov) The p-Adic Valuations of Weil Sums of Binomials, Journal of Number Theory, 181: 1-26 (2017).

A preprint version is available at:

arXiv: 1608.04047 [math.NT]


If you are interested in using any code or data presented here for your research, please contact me at email: [my first name] [dot] [my last name] [at] csun [dot] edu

The data file that documents a verification of Conjecture 6.1 in the paper for all fields with less than 1013 elements and the data file that documents a verification of Conjecture 6.2 in the paper for all moduli tn-1 with tn less than 3*109 (along with summary files that describe how to read the data files) are presented here. An overall description of the contents is in readme.txt.
Conjecture 6.1verification
for all fields
with less than
1013 elements
sharp-ten-to-thirteen.txt
sharp-ten-to-thirteen-summary.txt
Conjecture 6.2verification
for all moduli
tn-1 with tn
less than 3*109
three-times-ten-to-nine.txt
three-times-ten-to-nine-summary.txt




The program used to produce the data files are described in readme.txt. The executable code, compiled for the AMD64 architecture under GNU/Linux, is presented here.
Conjectures 6.1 and 6.2verificationsayb