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The square mean of Dirichlet series associated with cusp forms

Published online by Cambridge University Press:  26 February 2010

Anton Good
Anton Good
Affiliation:
Forschungsinstitut für Mathematik, ETH-Zentrum, CH-8092 Zürich, Switzerland
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Extract

Let

be a cusp form of even integral weight k > 2 for the full modular group. Then the Dirichlet series

is absolutely convergent for σ > ½(k + 1). Hecke showed that LF is an entire function of s satisfying the functional equation

Type
Research Article
Information
Mathematika , Volume 29 , Issue 2 , December 1982 , pp. 278 - 295
Copyright
Copyright © University College London 1982

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References

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