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

Open Mathematics (2017)

- Volume: 15, Issue: 1, page 1251-1255
- ISSN: 2391-5455

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topChen 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 -

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