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Levels 4p for p=17 and 13

  • Günter Köhler
Part of the Springer Monographs in Mathematics book series (SMM)

Abstract

There is exactly one cuspidal eta product of weight 1 for Γ(68) with denominator 4. Its order at ∞ is \(\frac{3}{4}\), and it is the sign transform of the function η(z)η(17z) which was treated in Example 12.10. Not surprisingly, now we get a similar result for theta series on \(\mathbb{Q}(\sqrt{- 17})\) with characters which have twice the period of those in Example 12.10. Here again, one of the components is identified with a difference of two non-cuspidal eta products.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  1. 1.Institute of MathematicsUniversity of WürzburgWürzburgGermany

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