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.
On the L-functions associated with certain exponential sums
β Scribed by Steven I Sperber
- Publisher
- Elsevier Science
- Year
- 1980
- Tongue
- English
- Weight
- 523 KB
- Volume
- 12
- Category
- Article
- ISSN
- 0022-314X
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π SIMILAR VOLUMES
DEDICATED TO PROFESSOR CHAO KO ON THE OCCASION OF HIS 90TH BIRTHDAY Let F O be the "nite "eld of q elements with characteristic p and F O K its extension of degree m. Fix a nontrivial additive character of ). The corresponding ΒΈfunctions are de"ned by ΒΈ( f, t)"exp( K S K ( f )tK/m). In this paper,
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Assume a polynomial f # F q [x, y] and an additive character of F q are given. From a set of exponential sums defined by f and one can define an L-function L f (t), which by results of Dwork and Grothedieck is known to be a rational function. In fact, L f (t) is the Artin L-function associated to an