Results 71 to 80 of about 78,424 (131)

On the distribution of angles of Kloosterman sums.

Journal für die reine und angewandte Mathematik (Crelles Journal), 1989
Let \({\mathbb{F}}_ q\) denote the finite field with q elements where q is a prime power. For \(\lambda \in {\mathbb{F}}_ q^{\times}\) let \(\theta\) (q,\(\lambda)\) be the unique angle defined by a certain Kloosterman sum. In this paper the author applies results due to \textit{P. Deligne} [Publ. Math., Inst. Hautes Étud. Sci.
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Supercharacters and mixed moments of Kloosterman sums

, 2018
Recent work has realized Kloosterman sums as supercharacter values of a supercharacter theory on [Formula: see text]. We use this realization to express fourth degree mixed power moments of Kloosterman sums in terms of the trace of Frobenius of a ...
George Todd, Ángel Chávez
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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.
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The Exotic Inverted Kloosterman Sum

International Mathematics Research Notices
Abstract Let $B$ be a product of finitely many finite fields containing $\mathbb{F}_{q}$, $\psi :\mathbb{F}_{q}\to \overline{\mathbb{Q}}_\ell ^{*}$ a nontrivial additive character, and $\chi : B^{*}\to \overline{\mathbb{Q}}_\ell ^{*}$ a multiplicative character.
Fu, Lei, Wan, Daqing
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Equidistribution of Kloosterman Sums Over Function Fields [PDF]

We prove the Sato–Tate distribution of Kloosterman sums over function fields with explicit error terms, when the places vary in arithmetic progressions or short intervals.
Li, Winnie Wen-Ching, Xi, Ping, Fu, Lei, Lau, Yuk-Kam   +3 more
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Matrix Kloosterman sums modulo prime powers [PDF]

We give optimal bounds for matrix Kloosterman sums modulo prime powers extending earlier work of the first two authors on the case of prime moduli. These exponential sums arise in the theory of the horocyclic flow on GL_n GL n
Erdélyi, M., Zábrádi, Gergely, Erdélyi, Márton Kristóf, Tóth, Á., Tóth, Árpád, Zábrádi, G.   +5 more
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Bounds for Kloosterman sums on GL(n) [PDF]

, 2023
This paper establishes power-saving bounds for Kloosterman sums associated with the long Weyl element for GL(n), as well as for another type of Weyl element of order 2.
Man, S. H., Blomer, V.
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Visual properties of generalized Kloosterman sums [PDF]

, 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, Burkhardt, Paula, \u2716, Garcia, Stephan Ramon, Suh, Hong, \u2716, Chan, Alice Zhuo-Yu, \u2714, Currier, Gabriel, \u2716   +5 more
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An elementary proof of the Selberg identity for Kloosterman sums [PDF]

, 2023
We give an elementary proof of the Selberg identity for Kloosterman sums, which only requires the orthogonality of additive characters.Comment: Not for ...
Xi, Ping
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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, Frolenkov, D., Balkanova, Olga,, Frolenkov, Dmitry,, Frolenkov, Dmitry   +4 more
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