Results 151 to 160 of about 859,926 (192)
Some of the next articles are maybe not open access.
Vinogradov’s sieve and an estimate for an incomplete Kloosterman sum
, 2022We refine a bound for a short Kloosterman sum with a prime modulus using the so-called Vinogradov sieve. The number of terms in the sum can be less than an arbitrarily small fixed power of . Bibliography: 26 titles.
M. A. Korolev
semanticscholar +1 more source
Doklady Mathematics, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +1 more source
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +1 more source
On Estimating an Inhomogeneous Kloosterman Sum by the Karatsuba Method
Mathematical NotesN. Semenova
exaly +2 more sources
The Moments of a Kloosterman Sum and the Weight Distribution of a Zetterberg-Type Binary Cyclic Code
IEEE Transactions on Information Theory, 2007M. Moisio
exaly +2 more sources
On the 2k-th Power Mean of Dirichlet L-Functions with the Weight of General Kloosterman Sums
Journal of Number Theory, 2000 The main purpose of this paper is using the classical estimation of the Kloosterman sum and the analytic method to study the 2k-th power mean of Dirichlet L-functions with the weight of general Kloosterman sums and give an interesting 2k-th mean value ...
Zhang Wenpeng
exaly +2 more sources
Russian Academy of Sciences. Izvestiya Mathematics, 1993
In the paper under review the classical Kloosterman sum \[ K(d_ 1, d_ 2;Q) = \sum_{{x_ 1, x_ 2 \text{mod} Q \atop x_ 1x_ 2 \equiv 1 \pmod Q}} \exp \left( 2\pi i {d_ 1x_ 2 + d_ 2 x_ 2 \over Q} \right) \] is expressed in terms of numbers connected with the arithmetic of \(\mathbb{Z}/m \mathbb{Z}\) where ...
openaire +2 more sources
In the paper under review the classical Kloosterman sum \[ K(d_ 1, d_ 2;Q) = \sum_{{x_ 1, x_ 2 \text{mod} Q \atop x_ 1x_ 2 \equiv 1 \pmod Q}} \exp \left( 2\pi i {d_ 1x_ 2 + d_ 2 x_ 2 \over Q} \right) \] is expressed in terms of numbers connected with the arithmetic of \(\mathbb{Z}/m \mathbb{Z}\) where ...
openaire +2 more sources
A hyper-Kloosterman sum identity
Science in China Series A: Mathematics, 1998Yangbo Ye, Ye Yangbo
exaly +2 more sources
Izvestiya: Mathematics, 1995
Kloosterman sums are of the type \[ S(a,b;m)=\sum _{1\leq n\leq m, (m,n)=1} e((an^*+bn)/m), \] where \(nn^*\equiv 1\pmod{m}\). The author restricts the sum here to integers \(n=xy\) with \((xy,m)=1\) and \(x\), \(y\) lying in certain intervals. A complicated but perfectly explicit bound is given for such a modified sum. The bilinear shape of the sum is
openaire +1 more source
Kloosterman sums are of the type \[ S(a,b;m)=\sum _{1\leq n\leq m, (m,n)=1} e((an^*+bn)/m), \] where \(nn^*\equiv 1\pmod{m}\). The author restricts the sum here to integers \(n=xy\) with \((xy,m)=1\) and \(x\), \(y\) lying in certain intervals. A complicated but perfectly explicit bound is given for such a modified sum. The bilinear shape of the sum is
openaire +1 more source
Journal of Mathematical Sciences, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +1 more source
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +1 more source
On the General Kloosterman Sums
Journal of Mathematical Sciences, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +1 more source