Newton Polygons for a Variant of the Kloosterman Family

Authors

Rebecca Bellovin, Stanford UniversityFollow
Sharon Garthwaite, Bucknell UniversityFollow
Ekin Ozman, University of Texas at AustinFollow
Rachel Pries, Colorado State University - Fort CollinsFollow
Cassandra Williams, James Madison UniversityFollow
Hui June Zhu, SUNY BuffaloFollow

Publication Date

2013

Document Type

Conference Paper

Description

We study the p-adic valuations of roots of L-functions associated with certain families of exponential sums of Laurent polynomials. The families we consider are reflection and Kloosterman variants of diagonal polynomials. Using decomposition theorems of Wan, we determine the Newton and Hodge polygons of a non-degenerate Laurent polynomial in one of these families.

Source Publication

Women in Numbers 2: Research Directions in Number Theory, Contemporary Mathematics, Volume 606

Department

Mathematics

Comments

Link is to version of paper on arXiv.org

Recommended Citation

Newton polygons for a variant of the Kloosterman family, Bellovin, R., Garthwaite, S., Ozman, E., Pries, R., Williams, C., Zhu, H., AMS/CRM Contemporary Mathematics Vol. 606: Women in Numbers 2: Research Directions in Number Theory, 2013, pp. 47--63.