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]
The work of Katz, Lee, and Sapozhnikov on this paper and the accompanying materials here was supported in part by the National Science Foundation under Grant DMS 1500856.
Any opinions, findings, and conclusions or recommendations expressed in this material are those of the authors and do not necessarily reflect the views of the National Science Foundation.
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.
for all fields
with less than
for all moduli
tn-1 with tn
less than 3*109
|Conjectures 6.1 and 6.2||verifications||ayb|