We study Kloosterman sums in a generalized ring-theoretic context, that of finite commutative Frobenius rings. We prove a number of identities for twisted Kloosterman sums, loosely clustered around moment computations.Comment: 27 page
AbstractWe consider a certain finite group for which Kloosterman sums appear as character values. Th...
AbstractAn upper bound for the extended Kloosterman sum over Galois rings is derived. This bound is ...
AbstractWe apply relations of n-dimensional Kloosterman sums to exponential sums over finite fields ...
We study Kloosterman sums in a generalized ring-theoretic context, that of finite commutative Froben...
This paper establishes power-saving bounds for Kloosterman sums associated with the long Weyl elemen...
For a positive integer m and a subgroup A of the unit group (Z/mZ)x, the corresponding generalized K...
AbstractWe present some general equalities between Kloosterman sums over finite fields of arbitrary ...
AbstractWe apply relations of n-dimensional Kloosterman sums to exponential sums over finite fields ...
In our paper, we introduce a new method for estimating incidences via representation theory. We obta...
AbstractAn upper bound for the extended Kloosterman sum over Galois rings is derived. This bound is ...
An upper bound for the extended Kloosterman sum over Galois rings is derived. This bound is then use...
Kloosterman sums are exponential sums on finite fields with important applications in Cryptography a...
We construct motives over the rational numbers associated with symmetric power moments of Kloosterma...
Les faisceaux de Kloosterman classiques sont des systèmes locaux l-adiques sur GmFv dont les traces ...
AbstractWe introduce Kloosterman polynomials over F2m, and use these polynomials to prove three iden...
AbstractWe consider a certain finite group for which Kloosterman sums appear as character values. Th...
AbstractAn upper bound for the extended Kloosterman sum over Galois rings is derived. This bound is ...
AbstractWe apply relations of n-dimensional Kloosterman sums to exponential sums over finite fields ...
We study Kloosterman sums in a generalized ring-theoretic context, that of finite commutative Froben...
This paper establishes power-saving bounds for Kloosterman sums associated with the long Weyl elemen...
For a positive integer m and a subgroup A of the unit group (Z/mZ)x, the corresponding generalized K...
AbstractWe present some general equalities between Kloosterman sums over finite fields of arbitrary ...
AbstractWe apply relations of n-dimensional Kloosterman sums to exponential sums over finite fields ...
In our paper, we introduce a new method for estimating incidences via representation theory. We obta...
AbstractAn upper bound for the extended Kloosterman sum over Galois rings is derived. This bound is ...
An upper bound for the extended Kloosterman sum over Galois rings is derived. This bound is then use...
Kloosterman sums are exponential sums on finite fields with important applications in Cryptography a...
We construct motives over the rational numbers associated with symmetric power moments of Kloosterma...
Les faisceaux de Kloosterman classiques sont des systèmes locaux l-adiques sur GmFv dont les traces ...
AbstractWe introduce Kloosterman polynomials over F2m, and use these polynomials to prove three iden...
AbstractWe consider a certain finite group for which Kloosterman sums appear as character values. Th...
AbstractAn upper bound for the extended Kloosterman sum over Galois rings is derived. This bound is ...
AbstractWe apply relations of n-dimensional Kloosterman sums to exponential sums over finite fields ...