Explicit evaluations of some weil sums

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Web@ARTICLE{Coulter98explicitevaluation, author = {Robert S. Coulter}, title = {Explicit evaluation of some Weil sums}, journal = {Acta Arith}, year = {1998}, pages = {241- … Web[4] M. J. Moisio, On relations between certain exponential sums and multiple Kloosterman sums and some applications to coding theory, preprint, 1997. [5] M. J. Moisio, Exponential sums, Gauss sums and cyclic codes, Dissertation, Acta Univ. Oul. A 306, 1998. Zbl0970.94011; NotesEmbed? top

Explicit evaluation of some exponential sums - ScienceDirect

WebIn all cases, explicit evaluations are obtained. We consider a class of Weil sums involving polynomials of a particular shape. On the evaluation of a class of Weil sums in characteristic 2 WebJan 1, 2000 · In this paper, we evaluate two classes of new exponential sums, which are viewed as gener-2 alized Moisio's exponential sums in contrast to the results by Heng … first bank in pinehurst

EUDML Further evaluations of Weil sums

Webis possible to evaluate the Weil sums for any non-trivial additive character simply by manipulating the results obtained using this identity. We denote our Weil sum by S α(a). That is, S α(a) = X x∈F q χ 1(axp α+1). The evaluation splits into two sections: one for … http://matwbn.icm.edu.pl/ksiazki/aa/aa83/aa8334.pdf Webular shape. In all cases, explicit evaluations are obtained. 1. Introduction Let p be a prime and q = pe for some integer e. We denote the finite field of q elements by ¥q and the non-zero elements of Fg by F*. A Weil sum is an exponential sum of the form XlxeF, x(/(x))> where x is a non-trivial additive character of ¥q and / G Fg[X]. In this ... eurowings callsign

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WebSep 25, 2010 · We derive an explicit formula for Hecke Gauss sums of quadratic number fields. As an immediate consequence we obtain a quadratic reciprocity law in quadrat ... On Jacobi forms, and explicit evaluations of some trigonometric sums. 28 November 2024. ... Evaluation of weil sums for some polynomials and associated quadratic forms. 14 … WebJan 1, 1998 · Explicit evaluations of some Weil sums The University of Queensland's institutional repository, UQ eSpace, aims to create global visibility and accessibility of … first bank in new yorkWebJan 1, 1998 · Explicit evaluations of some Weil sums The University of Queensland's institutional repository, UQ eSpace, aims to create global visibility and accessibility of … first bank in pembroke

"WebJun 25, 2024 · In this note, we extend the definition of multiple harmonic sums and apply their stuffle relations to obtain explicit evaluations of the sums $R_n(p,t)=\sum\nolimits ... " - Explicit evaluations of some weil sums

Explicit evaluations of some weil sums

WebIn a recent article [2] the author gave explicit evaluations of all Weil sums with f(X) = aXp +1 and p odd. These were obtained mostly through generalising methods used by Carlitz in [1] who obtained explicit evaluations of Weil sums with f(X) = aXp+1 +bX, p odd. In this article we complete the work begun in [2]. By generalising some http://matwbn.icm.edu.pl/ksiazki/aa/aa86/aa8633.pdf

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WebEvaluation of some exponential sums over a finite field. L. Carlitz, L. Carlitz. Duke University Department of Mathematics Durham NC 27706 U.S.A. Search for more … Webexplicit evaluations, character sums, finite field, Weil sum, Carlitz's method Suggest a Subject Subjects You must be logged in to add subjects. Finite fields and commutative …

WebCiteSeerX — Explicit evaluations of some Weil sums by CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): sums of the form ∑ x∈Fq χ(axp α+1) … WebSep 16, 2024 · Explicit evaluations of some Weil sums. Article. Jan 1998; Robert S Coulter; where is a non-trivial additive character of the nite eld Fq with q = pe odd and a 2 Fq. The case a = 0 is trivial and ...

WebDec 31, 1997 · These sums are also known as Weil sums. The problem of explicitly evaluating these sums is quite often difficult. Results giving estimates for the absolute … WebJul 11, 2015 · Here we note that in , the results were obtained by using some facts on quadratic forms and some properties of function fields. In this paper, apart from the techniques in , we use also some explicit evaluations of Weil sums as in [9–11]. In particular, we use explicit evaluations of Weil sums for Eq. in Sect. 3 in the proof of …

WebJan 31, 2002 · In the series of works by Coulter [6,7,8] which were based on Carlitz's proof methods [4], they explicitly evaluated the Weil sums of f (x) = ax p α +1 + L (x) over F p n with linearized...

WebExplicit evaluations of some Weil sums - Acta Arithmetica - Tom 83, Numer 3 (1998) - Biblioteka Nauki - Yadda Artykuł - szczegóły Acta Arithmetica 1998 83 3 241-251 … eurowings cancel flighthttp://www.thebookshelf.auckland.ac.nz/docs/NZJMaths/nzjmaths028/nzjmaths028-02-002.pdf first bank in pinehurst nchttp://matwbn.icm.edu.pl/ksiazki/aa/aa93/aa9322.pdf eurowings cancel check inWebJan 20, 2009 · In response to a letter from Goldbach, Euler considered sums of the form where s and t are positive integers. As Euler discovered by a process of extrapolation … eurowings canceled flightWebFeb 14, 2024 · The evaluation of some Weil sums will also help construct more bent functions or planar functions on finite fields. Discover the world's research 20+ … first bank in palm desert caWebEXPLICIT EVALUATIONS OF SOME WEIL SUMS ROBERT S. COULTER 1. Introduction In this article we will explicitly evaluate exponential sums of the form X x2Fq ˜(axp +1) where ˜ is a non-trivial additive character of the nite eld Fq with q = pe odd and a 2 Fq. The case a = 0 is trivial and so we assume throughout that a 6= 0. eurowings cargo trackingWebOct 1, 2002 · Explicit evaluations of some Weil sums Acta Arith., 83 ( 1998), pp. 241 - 251 CrossRef View Record in Scopus Google Scholar 2 R.S. Coulter Further evaluations of Weil sums Acta Arith., 86 ( 1998), pp. 217 - 226 CrossRef View Record in Scopus Google Scholar 3 R.S. Coulter On the evaluation of a class of Weil sums in characteristic 2 eurowings cancun