On the fourth-order linear recurrence formula related to classical Gauss sums

Chen Zhuoyu, and Zhang Wenpeng. "On the fourth-order linear recurrence formula related to classical Gauss sums." Open Mathematics 15.1 (2017): 1251-1255. <http://eudml.org/doc/288283>.

@article{ChenZhuoyu2017,
abstract = {Let p be an odd prime with p ≡ 1 mod 4, k be any positive integer, ψ be any fourth-order character mod p. In this paper, we use the analytic method and the properties of character sums mod p to study the computational problem of G(k, p) = τk(ψ)+τk(ψ), and give an interesting fourth-order linear recurrence formula for it, where τ(ψ) denotes the classical Gauss sums.},
author = {Chen Zhuoyu, Zhang Wenpeng},
journal = {Open Mathematics},
keywords = {The classical Gauss sums; Fourth-order linear recurrence formula; Analytic method; Character sums},
language = {eng},
number = {1},
pages = {1251-1255},
title = {On the fourth-order linear recurrence formula related to classical Gauss sums},
url = {http://eudml.org/doc/288283},
volume = {15},
year = {2017},
}

TY - JOUR
AU - Chen Zhuoyu
AU - Zhang Wenpeng
TI - On the fourth-order linear recurrence formula related to classical Gauss sums
JO - Open Mathematics
PY - 2017
VL - 15
IS - 1
SP - 1251
EP - 1255
AB - Let p be an odd prime with p ≡ 1 mod 4, k be any positive integer, ψ be any fourth-order character mod p. In this paper, we use the analytic method and the properties of character sums mod p to study the computational problem of G(k, p) = τk(ψ)+τk(ψ), and give an interesting fourth-order linear recurrence formula for it, where τ(ψ) denotes the classical Gauss sums.
LA - eng
KW - The classical Gauss sums; Fourth-order linear recurrence formula; Analytic method; Character sums
UR - http://eudml.org/doc/288283
ER -