Open AccessA remark for Gauss sums of order 3 and some applications for cubic congruence equations
Author(s) -
Wenxu Ge,
Weiping Li,
Tianze Wang
Publication year - 2022
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
ISSN - 2473-6988
DOI - 10.3934/math.2022595
Subject(s) - zhàng , congruence (geometry) , gauss , diagonal , mathematics , order (exchange) , pure mathematics , combinatorics , geometry , physics , law , political science , economics , quantum mechanics , china , finance
In this paper, we give some relations between Gauss sums of order 3. As application, we give the number of solutions of some cubic diagonal equations. These generalize the earlier results obtained by Hong-Zhu and solve the sign problem raised by Zhang-Zhang.