On singular moduli for level 2 and 3

Mathematics – Number Theory

Scientific paper

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This paper is part of my thesis 'Primitive roots and singular moduli'

Scientific paper

Gross and Zagier proved a formula for the absolute norm N(j(\alpha_1) -
j(\alpha_2)) 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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