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Binary quadratic forms and sums of triangular numbers

Binary quadratic forms and sums of triangular numbers

Notation: Z the set of integers, N the set of positive integers, [x] the greatest integer not exceeding x, ( a m) the Legendre-JacobiKronecker symbol, ordpm the nonnegative integer α such that pα | m but pα+1 m, (a, b) the greatest common divisor of a and b, (a, b, …