Exponential Sums Over Finite Fields and the Large Sieve
2018 ◽
Vol 2020
(20)
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pp. 7139-7174
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Keyword(s):
Abstract By using a variant of the large sieve for Frobenius in compatible systems developed in [24] and [27], we obtain zero-density estimates for arguments of $\ell $-adic trace functions over finite fields with values in some algebraic subsets of the cyclotomic integers, when the monodromy groups are known. This applies in particular to hyper-Kloosterman sums and general exponential sums considered by Katz.
2017 ◽
Vol 163
(3)
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pp. 385-422
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2005 ◽
Vol 01
(01)
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pp. 1-32
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Keyword(s):
1997 ◽
Vol 89
(1)
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pp. 201-201
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2003 ◽
Vol 55
(2)
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pp. 225-246
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2007 ◽
Vol 135
(10)
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pp. 3099-3109
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2015 ◽
Vol 26
(05)
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pp. 537-556
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