Davenport–Hasse's theorem for polynomial Gauss sums over finite fields
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DOI: 10.1016/j.jnt.2017.04.005
Abstract: Abstract In this paper, we study the polynomial Gauss sums over finite fields, and present an analogue of Davenport–Hasse's theorem for the polynomial Gauss sums, which is a generalization of the previous result obtained by… read more here.
Keywords: sums finite; polynomial gauss; finite fields; gauss sums ... See more keywords
Sums of finite products of Legendre and Laguerre polynomials
Sign Up to like & getrecommendations! Published in 2018 at "Advances in Difference Equations"
DOI: 10.1186/s13662-018-1740-6
Abstract: In this paper, we study sums of finite products of Legendre and Laguerre polynomials and derive Fourier series expansions of functions associated with them. From these Fourier series expansions, we are going to express those… read more here.
Keywords: legendre laguerre; laguerre polynomials; finite products; sums finite ... See more keywords