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On the nonvanishing of a certain L-series at s = 12

✍ Scribed by Paromita Chowla


Publisher
Elsevier Science
Year
1974
Tongue
English
Weight
62 KB
Volume
6
Category
Article
ISSN
0022-314X

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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