On some congruence with application to exponential sums
โ Scribed by Soon-Mo Jung
- Publisher
- Indian Academy of Sciences
- Year
- 2004
- Tongue
- English
- Weight
- 132 KB
- Volume
- 114
- Category
- Article
- ISSN
- 0253-4142
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We give estimates of two exponential sums over finite fields for which Weil's estimates fail. Using our estimates and Cohen's sieve method, we prove the conjecture of Hansen and Mullen for the second coefficient in characteristic two when the degree ี7.
We prove an identity which lifts a hyper-Kloosterman sum to an exponential sum over a quadratic extension field. The identity matches two Shalika germs of a relative trace formula for GL(n) which might be used to characterize the image of quadratic base change for GL(n).
We obtain estimates of complete rational exponentials sums with sparse polynomials and rational functions f (x)=a 1 x r1 + } } } +a t x rt depending on the number of non zero coefficients t rather than on the degree.