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Finite monodromy of some families of exponential sums
- Publication Year :
- 2017
-
Abstract
- Given a prime $p$ and an integer $d>1$, we give a numerical criterion to decide whether the $\ell$-adic sheaf associated to the one-parameter exponential sums $t\mapsto \sum_x\psi(x^d+tx)$ over ${\mathbb F}_p$ has finite monodromy or not, and work out some explicit cases where this is computable.
- Subjects :
- Mathematics - Number Theory
Mathematics - Algebraic Geometry
11L05, 11T23
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1711.01584
- Document Type :
- Working Paper