Results 71 to 80 of about 859,926 (192)
Hyper-Kloosterman Sums and Estimation of Exponential Sums of Polynomials of Higher Degrees
, 2007 Introduction. From a Davenport-Hasse identity of Gauss sums we will deduce identities of hyper-Kloosterman sums. Using this identity the theory of Kloosterman sheaves and equidistribution of hyper-Kloosterman sums can be applied to the exponential sum ...
Ye Yangbo, Ye Yangbo (iowa
core
An Upper Bound for the Extended Kloosterman Sums over Galois Rings
, 1998 An upper bound for the extended Kloosterman sum over Galois rings is derived. This bound is then used to construct new sequence families with low correlation properties and alphabet size a power of a ...
Helleseth, Tor +5 more
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Triple sums of Kloosterman sums and the discrepancy of modular inverses
We investigate the distribution of modular inverses modulo positive integers $c$ in a large interval. We provide upper and lower bounds for their box, ball and isotropic discrepancy, thereby exhibiting some deviations from random point sets. The analysis
Blomer, Valentin +2 more
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Divisibility properties of classical binary Kloosterman sums
, 2009 Let K(a) be the so-called classical Kloosterman sum over F2m. In this paper, we compute K(a) modulo 24 for even m, completing our previous results for odd m.
Helleseth, Tor +2 more
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.Net visualization suite for Kloosterman cardioid research
, 2012 Includes bibliographical references (p. 27)In August 2007 a parallel/distributed computer program designed and coded by a team of SDSU computer science graduate students, after running continuously for more than seven months on a 45-node commodity PC ...
Gupta, Rohit
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On ternary Kloosterman sums modulo 12
, 2008 Let K(a) denote the Kloosterman sum on F3m. It is easy to see that K(a)≡2(mod3) for all a∈F3m. We completely characterize those a∈F3m for which K(a)≡1(mod2), K(a)≡0(mod4) and K(a)≡2(mod4).
Garaschuk, Kseniya, Lisoněk, Petr
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On the order of the high-dimensional Cochrane sum and its mean value
, 2006 The main purpose of this paper is to study the high-dimensional Cochrane sum and give a sharp estimate of its order by using properties of hyper-Kloosterman sum and the mean value theorems of Dirichlet L ...
Wenpeng, Zhang, Zhefeng, Xu
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Distress in parents of children with first-onset steroid-sensitive nephrotic syndrome. [PDF]
Pediatr Nephrol, 2023 Veltkamp F +6 more
europepmc +1 more source
On algebraic degrees of inverted Kloosterman sums
The study of $n$-dimensional inverted Kloosterman sums was suggested by Katz (1995) who handled the case when $n=1$ from complex point of view. For general $n\geq 1$, the $n$-dimensional inverted Kloosterman sums were studied from both complex and $p ...
Lin, Xin, Wan, Daqing
core
GAUSS AND KLOOSTERMAN SUMS OVER RESIDUE RINGS OF ALGEBRAIC INTEGERS
, 2011 Let K be a field of degree n over Q, the field of rational numbers, with ring of integers O. Fix an integer m > 1, say with [Formula: see text] as a product of distinct prime powers, and let χ be a numerical character modulo m of conductor f(χ).
S. GURAK
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