Results 61 to 70 of about 3,648 (151)

A transform property of Kloosterman sums

Discrete Applied Mathematics, 2010
Kloosterman sums \(K_k(a,b)\) are of interest in many parts of mathematics. They are defined as \(K_k(a,b)=\sum_{\gamma \in {\mathbb{F}_{q^k}^\ast}}\chi(\text{trace}(a\gamma+b\gamma^{-1})\), where \(\chi\) in an additive character of the finite field \({\mathbb F}_{q}\). Here \(q\) is a prime power and the trace is relative to \({\mathbb F}_q\).
Ian F. Blake, Theodoulos Garefalakis
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Pulmonary Sequelae of Severe Acute COVID‐19 and Multisystem Inflammatory Syndrome (MIS‐C) in Dutch Children

Pediatric Pulmonology, Volume 60, Issue 12, December 2025.
ABSTRACT Background Although rare, COVID‐19 in children may lead to hospitalization due to severe respiratory symptoms, or a hyperinflammatory state called Multisystem Inflammatory Syndrome in Children (MIS‐C). This study examined respiratory morbidity in children 5 to 12 months after hospitalization for MIS‐C or COVID‐19. Methods In this multi‐center,
Lieke C. E. Noij, Caroline L. H. Brackel, Mariëlle W. Pijnenburg, Michiel A. G. E. Bannier, Sanne F. Kloosterman, Joost G. van den Aardweg, Arjen Pelgröm, Irene Kuipers, Erik G. J. von Asmuth, Emilie P. Buddingh, Miriam G. Mooij, Angelique M. A. M. Winkel, Lotte Haverman, Lorynn Teela, Anke H. Maitland van der Zee, Johannes B. van Goudoever, Simone Hashimoto, Suzanne W. J. Terheggen‐Lagro   +17 more
wiley   +1 more source

Kloosterman sums with multiplicative coefficients [PDF]

Izvestiya: Mathematics, 2018
The series of some new estimates for the sums of the type \[ S_{q}(x;f)\,=\,\mathop{{\sum}'}\limits_{n\leqslant x}f(n)e_{q}(an^{*}+bn) \] is obtained. Here $q$ is a sufficiently large integer, $\sqrt{q}(\log{q})\!\ll\!x\leqslant q$, $a,b$ are integers, $(a,q)=1$, $e_{q}(v) = e^{2πiv/q}$, $f(n)$ is a multiplicative function, $nn^{*}\equiv 1 \pmod{q ...
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On sums of Kloosterman and Gauss sums

Transactions of the American Mathematical Society, 2019
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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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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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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Uncovering spatial representations from spatiotemporal patterns of rodent hippocampal field potentials. [PDF]

Cell Rep Methods, 2021
Cao L, Varga V, Chen ZS.
europepmc   +1 more source

Awake Hippocampal-Cortical Co-reactivation Is Associated with Forgetting. [PDF]

J Cogn Neurosci, 2023
Tanrıverdi B, Cowan ET, Metoki A, Jobson KR, Murty VP, Chein J, Olson IR.   +6 more
europepmc   +1 more source

From partitions to Hodge numbers of Hilbert schemes of surfaces. [PDF]

Philos Trans A Math Phys Eng Sci, 2020
Gillman N, Gonzalez X, Ono K, Rolen L, Schoenbauer M.   +4 more
europepmc   +1 more source