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On singular moduli for level 2 and 3

Hans Roskam

math.NTarXiv:math/0304438

Abstract

Gross and Zagier proved a formula for the absolute norm N(j(α1) - j(α2)) of a difference of singular values of the modular function j. We formulate and prove the analogues of their result for a number of functions of level 2 and 3.

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