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- W1512995890 abstract "We construct p-adic relative cohomology for a family of toric exponential sums which generalize the classical Kloosterman sums. Under natural hypotheses such as quasi-homogeneity and nondegeneracy, this cohomology is acyclic except in the top dimension. Our construction enables sufficiently sharp estimates for the action of Frobenius on cohomology so that our earlier work may be applied to the L-functions coming from linear algebra operations on these families to deduce a number of basic properties." @default.
- W1512995890 created "2016-06-24" @default.
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- W1512995890 date "2013-07-07" @default.
- W1512995890 modified "2023-09-27" @default.
- W1512995890 title "Families of generalized Kloosterman sums" @default.
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