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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)



Theta constants and cusp forms

Author: A. J. Crisalli
Journal: Trans. Amer. Math. Soc. 201 (1975), 125-132
MSC: Primary 10D15
MathSciNet review: 0374034
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Abstract: For principal congruence subgroups of levels 2 and 4 a basis for their cusp forms consisting of monomials of theta constants is displayed. Some conditions for the vanishing of Poincaré series of these groups are found.

References [Enhancements On Off] (What's this?)

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  • [3] -, On the graded ring of theta-constants. II, Amer. J. Math. 88 (1966), 221-236. MR 34 #375. MR 0200482 (34:375)
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