The congruence \(x_ 1x_ 2\equiv x_ 3x_ 4\pmod p\), the equation \(x_ 1x_ 2=x_ 3x_ 4\), and mean values of character sums

DOI10.1006/jnth.1996.0105zbMath0869.11003OpenAlexW2087920721MaRDI QIDQ1924261

Zhiyong Zheng, Anwar Ayyad, Todd Cochrane

Publication date: 24 November 1996

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jnth.1996.0105

zbMATH Keywords

congruences in many variablesnumber of solutions of Diophantine equationupper bound for fourth order character sum moments

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Counting solutions of Diophantine equations (11D45) Congruences in many variables (11D79) Congruences; primitive roots; residue systems (11A07) Estimates on character sums (11L40)

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