Results 71 to 80 of about 185 (158)
On the Hybrid Mean Value of Generalized Dedekind Sums, Generalized Hardy Sums and Kloosterman Sums
, 2018 The main purpose of this paper is to study the hybrid mean value problem involving generalized Dedekind sums, generalized Hardy sums and Kloosterman sums, and give some exact computational formulae for them by using the properties of Gauss sums and the mean value theorem of the Dirichlet L-function.
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A conjecture about Gauss sums and bentness of binomial Boolean functions [PDF]
, 2016 In this note, the polar decomposition of binary fields of even extension degree is used to reduce the evaluation of the Walsh transform of binomial Boolean functions to that of Gauss sums.
Jean-Pierre Flori
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Study of the distribution of some short exponential sums
, 2023 Cette thèse porte sur des propriétés d'équirépartition de certaines sommes exponentiellesqui apparaissent naturellement en théorie analytique des nombres.
Untrau, Théo
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On smooth square-free numbers in arithmetic progressions
, 2020 Booker and Pomerance [Proc. Amer. Math. Soc. 145 (2017) 5035–5042] have shown that any residue class modulo a prime (Formula presented.) can be represented by a positive (Formula presented.) -smooth square-free integer (Formula presented.) with all prime
Shparlinski I. E., Munsch M.
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Awake Hippocampal-Cortical Co-reactivation Is Associated with Forgetting. [PDF]
J Cogn Neurosci, 2023 Tanrıverdi B +6 more
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Generalized Kloosterman Sums from M2-branes
, 2017 Kloosterman sums play a special role in analytic number theory, for expressing the integer Fourier coefficients of modular forms as an infinite sum of Bessel functions, also known as Rademacher formula. The generalization to vector-valued modular forms is known as generalized Kloosterman sums.
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, 1987 A theory of Poincaré series is developed for Lobachevsky space of arbitrary dimension. For a general non-uniform lattice a Selberg-Kloosterman zeta function is introduced.
Piatetski-Shapiro, I. +2 more
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Weighted Quadratic Partitions Over a Finite Field
, 1953 Using some known results on Gauss sums in a finite field, it is shown that the sum (1.3) defined below can either be evaluated explicitly or expressed in terms of a Kloosterman sum.
Leonard Carlitz
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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
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From partitions to Hodge numbers of Hilbert schemes of surfaces. [PDF]
Philos Trans A Math Phys Eng Sci, 2020 Gillman N +4 more
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