Counting solutions to generalized Markoff-Hurwitz-type equations in finite fields-Reference-Cited by-同舟云学术

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Counting solutions to generalized Markoff-Hurwitz-type equations in finite fields

Published:2020-02 Issue: Volume:62 Page:101609
ISSN:1071-5797
Container-title:Finite Fields and Their Applications
language:en
Short-container-title:Finite Fields and Their Applications

Author:

Jiang Kun,Gao Wei,Cao Wei

Funder

National Natural Science Foundation of China

Zhejiang Provincial Natural Science Foundation

Ningbo University

Publisher

Elsevier BV

Subject

Applied Mathematics,General Engineering,Algebra and Number Theory,Theoretical Computer Science

Reference14 articles.

1. On the number of solutions of the equation a1x1m1+⋯+amxnmn=bx1⋯xn in a finite field;Baoulina;Acta Appl. Math.,2005

2. Generalizations of the Markoff-Hurwitz equations over finite fields;Baoulina;J. Number Theory,2006

3. On the equation x1m1+⋯+xnmn=ax1⋯xn over a finite field;Baoulina;Finite Fields Appl.,2007

4. Solutions of equations over finite fields: enumeration via bijections;Baoulina;J. Algebra Appl.,2016

5. Gauss and Jacobi Sums;Berndt,1998

Cited by 5 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Counting roots of fully triangular polynomials over finite fields;Finite Fields and Their Applications;2024-02

2. On the number of solutions of systems of certain diagonal equations over finite fields;Journal of Number Theory;2021-08

3. Additive-Contingent Nonlinearity: On Some Properties Of x2+y2+z2+v2=dXYZ, and x2+y2+z2+v2+u2=dXYZ, And the Markoff Equation x2+y2+z2=dXYZ.;SSRN Electronic Journal;2019

4. On Some Properties Of xi+yi+zi=dXYZ, X3+Y3+Z3=dXYZ, And X6+Y6+Z6=dXYZ; And A Critique Of Solutions For The Markoff Equation x2+y2+z2 = aXYZ.;SSRN Electronic Journal;2019

5. On Some Properties Of x2+y2+z2+v2=dXYZV; And x2+y2+z2+v2+u2=dXYZVU, And xi+yi+zi + vi =dXYZV.;SSRN Electronic Journal;2018

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