Results 61 to 70 of about 803,219 (126)
Sums of kloosterman sums over square-free and smooth integers
Recently, there has been a large number of works on bilinear sums with Kloosterman sums and on sums of Kloosterman sums twisted by arithmetic functions.
Shao, Xuancheng +2 more
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CoRR, 2009 In this paper, we construct two binary linear codes associated with multi-dimensional and $m -$multiple power Kloosterman sums (for any fixed $m$) over the finite field $\mathbb{F}_{q}$. Here $q$ is a power of two. The former codes are dual to a subcode of the binary hyper-Kloosterman code. Then we obtain two recursive formulas for the power moments of
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Sums of Kloosterman sums for real quadratic number fields [PDF]
, 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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Hyper-Kloosterman Sums in Supercharacter Theories
, 2014 In this thesis, we briefly review facts of representation and character theory in order to define supercharacter theories, which give a generalization of the characters on a given group.
Bulkow, Madeleine C
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Uncovering spatial representations from spatiotemporal patterns of rodent hippocampal field potentials. [PDF]
Cell Rep Methods, 2021 Cao L, Varga V, Chen ZS.
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Sums of SL(3,Z) Kloosterman Sums [PDF]
, 2012 We show that sums of the SL(3,Z) long element Kloosterman sum against a smooth weight function have cancellation due to the variation in argument of the Kloosterman sums, when each modulus is at least the square root of the other.
Buttcane, Jack
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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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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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On the first power mean of L‐functions with the weight of general Kloosterman sums [PDF]
International Journal of Mathematics and Mathematical Sciences, 2002 The main purpose of this paper is using the estimates for character sums and the analytic method to study the first power mean of Dirichlet L‐functions with the weight of general Kloosterman sums, and give an interesting asymptotic formula.
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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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