Let f # Z[x] with degree k and let p be a prime. By a complete trigonometric sum we mean a sum of the form S(q, f )= q x=1 e q ( f (x)), where q is a positive integer and e q (:)=exp(2?if (x)Γq). Professor Chalk made a conjecture on the upper bound of S(q, f ) when q is a prime power. We prove Chalk
On a Conjecture of Ash
β Scribed by Adrian Barbu
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 82 KB
- Volume
- 251
- Category
- Article
- ISSN
- 0021-8693
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β¦ Synopsis
In this paper we prove a particular case of a conjecture of Ash that states the existence of Galois representations associated to Hecke eigenclasses in cohomology.
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