Results 61 to 70 of about 859,926 (192)
Subconvexity for additive equations: Pairs of undenary cubic forms [PDF]
, 2014 We investigate pairs of diagonal cubic equations with integral coefficients. For a class of such Diophantine systems with 11 or more variables, we are able to establish that the number of integral solutions in a large box is at least as large as the ...
Brueden, Joerg +4 more
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Legendre sums, Soto–Andrade sums and Kloosterman sums [PDF]
Pacific Journal of Mathematics, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +1 more source
A Kloosterman Sum In A Relative Trace Formula For GL_4
, 2007 We study a Kloosterman sum for GL_4 and prove that it is equal to an exponential sum over a quadratic number field. This identity has applications in a relative trace formula for GL_4 which might be used to give a new proof of quadratic base change and ...
Yangbo Ye
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On an estimate of the Kloosterman zeta function [PDF]
, 2012 publisherIn this paper we state an estimate of the Kloosterman zeta function Zm,n(s, Γ). Especially we consider the case that Γ is the Hecke congruence group Γ0(N). This case allows us to use the Weil estimate for the Kloosterman sum.
YOSHIDA, Eiji
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Multiplicative function of the weighted sum Kloosterman
, 2013 Побудована асимптотична формула суматорної функції для суми Клостермана K(s,a;q). зваженої мультиплікативними функціями f(n) спеціального вигляду, а саме згорткою Діріхле цілком мультіплікативних функцій та тотожної 1.Построена асимптотическая формула ...
Сергеев, Сергей Сергеевич +5 more
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Sign changes of Kloosterman sums and exceptional characters
, 2018 11 pagesInternational audienceWe prove that the existence of exceptional real zeroes of Dirichlet $L$-functions would lead to cancellations in the sum $\sum_{p\leq x} \Kl(1, p)$ of Kloosterman sums over primes, and also to sign changes of ${\rm Kl}(1, n)$
Sary Drappeau +5 more
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Visual properties of generalized Kloosterman sums
, 2016 For a positive integer m and a subgroup A of the unit group (Z/mZ)x, the corresponding generalized Kloosterman sum is the function K(a, b, m, A) = ΣuEA e(au+bu-1/m).
Luca, Florian +5 more
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Sums of Kloosterman sums in the prime geodesic theorem
, 2019 We develop a new method for studying sums of Kloosterman sums related to the spectral exponential sum. As a corollary, we obtain a new proof of the estimate of Soundararajan and Young for the error term in the prime geodesic ...
Balkanova, Olga +4 more
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Polynomials for Kloosterman Sums
, 2007 Fix an integer m > 1, and set ζm = exp(2πi/m). Let denote the multiplicative inverse of x modulo m. The Kloosterman sums , satisfy the polynomialwhere the sum and product are taken over a complete system of reduced residues modulo m.
S. Gurak
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Sums of Kloosterman sums for real quadratic number fields
, 2003 We estimate sums of Kloosterman sums for a real quadratic number field F of the typeS=∑c|N(c)|−1/2SF(r,r1;c)where c runs through the integers of F that satisfy C⩽|N(c)|
Miatello, R.J. +5 more
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