On the equation <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msubsup><mml:mi>x</mml:mi><mml:mn>1</mml:mn><mml:msub><mml:mi>m</mml:mi><mml:mn>1</mml:mn></mml:msub></mml:msubsup><mml:mo>+</mml:mo><mml:mo>⋯</mml:mo><mml:mo>+</mml:mo><mml:msubsup><mml:mi>x</mml:mi><mml:mi>n</mml:mi><mml:msub><mml:mi>m</mml:mi><mml:mi>n</mml:mi></mml:msub></mml:msubsup><mml:mo>=</mml:mo><mml:mi>a</mml:mi><mml:msub><mml:mi>x</mml:mi><mml:mn>1</mml:mn></mml:msub><mml:mo>⋯</mml:mo><mml:msub><mml:mi>x</mml:mi><mml:mi>n</mml:mi></mml:msub></mml:math> over a finite field-Reference-Cited by-同舟云学术

On the equation x1m1+⋯+xnmn=ax1⋯xn over a finite field

Author:

Baoulina Ioulia

Publisher

Elsevier BV

Subject

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

Reference12 articles.

1. On the problem of explicit evaluation of the number of solutions of the equation a1x12+⋯+anxn2=bx1⋯xn in a finite field;Baoulina,2002

3. On some equations over finite fields;Baoulina;J. Théor. Nombres Bordeaux,2005

5. Gauss and Jacobi Sums;Berndt,1998

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