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On Binary Quadratic Forms Modulo n
Journal article   Peer reviewed

On Binary Quadratic Forms Modulo n

Yang Liu and Yi Ouyang
Communications in mathematics and statistics, Vol.7(1), pp.61-67
05/03/2019
DOI: https://doi.org/10.1007/s40304-018-0141-1

Abstract

Mathematics Physical Sciences Science & Technology
Given a binary quadratic polynomial f (x1, x2) = ax2 1 + ss x1x2 +. x2 2. Z[ x1, x2], for every c. Z and n = 2, we study the number of solutions NJ (f; c, n) of the congruence equation f (x1, x2) = c mod n in (Z/ nZ) 2 such that xi. (Z/ nZ) x for i. J subset of {1, 2}.

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