A level N reduction theory of indefinite binary quadratic forms

Details A level N reduction theory of indefinite binary quadratic forms A level N reduction theory of indefinite binary quadratic forms

2006-03-06

arxiv.org/abs/math/0603149v1

Mathematics

Number Theory

25 pages, 7 figures

Scientific paper

In this paper we study a geometric coding algorithm for indefinite binary quadratic forms Q for the congruence subgroup \Gamma^0(N), with respect to the usual fundamental domain FN, where N is assumed prime. The cycles Q_1, . . ., Q_n that this algorithm produces are such that the the corresponding paths \gamma_1, . . ., \gamma_n in the Riemann surface X0(N)(C) have a nice behavior around the elliptic points of order 2.

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