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Automorphy factors for a Hilbert modular group

Published online by Cambridge University Press:  18 May 2009

Shigeaki Tsuyumine
Shigeaki Tsuyumine
Affiliation:
Sonderforschungsbereich 170, Mathematisches Institut, Bunsenstrabe 3-5, 3400 Göttingen, West Germany.
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Let K be a totally real algebraic number field of degree n > 1, and let OK be the maximal order. We denote by гk, the Hilbert modular group SL2(OK) associated with K. On the extent of the weight of an automorphy factor for гK, some restrictions are imposed, not as in the elliptic modular case. Maass [5] showed that the weight is integral for K = ℚ(√5). It was shown by Christian [1] that for any Hilbert modular group it is a rational number with the bounded denominator depending on the group.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 30 , Issue 2 , May 1988 , pp. 231 - 236
Copyright
Copyright © Glasgow Mathematical Journal Trust 1988

References

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