AbstractWe prove an identity which lifts a hyper-Kloosterman sum to an exponential sum over a quadratic extension field. The identity matches two Shalika germs of a relative trace formula forGL(n) which might be used to characterize the image of quadratic base change forGL(n)
AbstractLet q, m, n, k be integers with q⩾3 and k⩾1, define the exponential sumS(m,n,k;q)=∑′a=1qe(ma...
An alternative proof of W. N. Bailey's identity may suggest how others of a similar nature can be sy...
In this paper, by using the factorization of the companion polynomial of the binary quadratic functi...
AbstractWe prove an identity which lifts a hyper-Kloosterman sum to an exponential sum over a quadra...
. Let E be a cyclic algebraic number field of a prime degree. We prove an identity which lifts an ex...
Introduction. From a Davenport-Hasse identity of Gauss sums we will deduce identities of hyper-Kloo...
AbstractAn expression for the number of times a certain trace function associated with a Kloosterman...
We introduce a new comparison principle for exponential sums over finite fields in order to study "s...
Given $a $ , $b,c\geq 1 $ such that $(ab,c) $ $=1 $ , Kloosterman sums are a special kind of algebra...
AbstractThe purpose of this article is to prove several identities of Kloosterman sums based on the ...
AbstractThe purpose of this article is to prove several identities of Kloosterman sums based on the ...
A formula of Kuznetsov allows one to interpret a smooth sum of Kloosterman sums as a sum over the sp...
We develop a theory concerning the reconstruction of multivariate exponential sums first over arbitr...
In this paper, we construct two quadratic transformations influenced by the work of Kummer and appli...
Abstract. In this paper, we improve results of Gillot, Kumar and Moreno to estimate some exponential...
AbstractLet q, m, n, k be integers with q⩾3 and k⩾1, define the exponential sumS(m,n,k;q)=∑′a=1qe(ma...
An alternative proof of W. N. Bailey's identity may suggest how others of a similar nature can be sy...
In this paper, by using the factorization of the companion polynomial of the binary quadratic functi...
AbstractWe prove an identity which lifts a hyper-Kloosterman sum to an exponential sum over a quadra...
. Let E be a cyclic algebraic number field of a prime degree. We prove an identity which lifts an ex...
Introduction. From a Davenport-Hasse identity of Gauss sums we will deduce identities of hyper-Kloo...
AbstractAn expression for the number of times a certain trace function associated with a Kloosterman...
We introduce a new comparison principle for exponential sums over finite fields in order to study "s...
Given $a $ , $b,c\geq 1 $ such that $(ab,c) $ $=1 $ , Kloosterman sums are a special kind of algebra...
AbstractThe purpose of this article is to prove several identities of Kloosterman sums based on the ...
AbstractThe purpose of this article is to prove several identities of Kloosterman sums based on the ...
A formula of Kuznetsov allows one to interpret a smooth sum of Kloosterman sums as a sum over the sp...
We develop a theory concerning the reconstruction of multivariate exponential sums first over arbitr...
In this paper, we construct two quadratic transformations influenced by the work of Kummer and appli...
Abstract. In this paper, we improve results of Gillot, Kumar and Moreno to estimate some exponential...
AbstractLet q, m, n, k be integers with q⩾3 and k⩾1, define the exponential sumS(m,n,k;q)=∑′a=1qe(ma...
An alternative proof of W. N. Bailey's identity may suggest how others of a similar nature can be sy...
In this paper, by using the factorization of the companion polynomial of the binary quadratic functi...
DOI
Add to ORKG