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Counting modular matrices with specified euclidean norm

By Morris Newman

Abstract

AbstractLet N(x) denote the number of matrices A = a bc d belonging to SL(2, Z) such that a2 + b2 + c2 + d2 ⩽ x. It is shown that the limit as x approaches infinity of N(x)x equals 6

Publisher: Published by Elsevier Inc.
Year: 1988
DOI identifier: 10.1016/0097-3165(88)90048-9
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