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Explicit formulas for local factors: Addenda and errata

Published online by Cambridge University Press:  22 January 2016

Paul Feit
Paul Feit*
Affiliation:
University of Texas at Permian Basin, Science and Engineering, 4901 F. University Blvd. Odessa, TX 79762, U.S.A.
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In [3], the author studied certain local integrals derived from Fourier coefficient computations on Eisenstein series. Members of a family of Dirichlet series were characterized as a product of an explicit term with a mysterious polynomial factor. In a recent letter to the author, Professor Shoyu Nagaoka asked specific questions concerning the polynomial factor. Several of these questions can be answered by the techniques in [3]. In Part I of that paper, the relevant term is described precisely; however, in Part II, the term is described as a mysterious, albeit finite, sum. The present paper complete [3] by recording what little is known of that sum.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 133 , March 1994 , pp. 177 - 187
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1994

References

[1] Nagaoka, S., On the Fourier coefficient of Hermitian Eisenstein series of degree 2, preprint.Google Scholar
[2] Feit, P., Poles and residues of Eisenstein series for sympletic and unitary groups, Memoirs of the Amer. Math. Soc, 346, 1986.Google Scholar
[3] Feit, P., Explicit formulas for local factors in the Euler products for Eisenstein series, Nagoya Math. J., 113 (1989), 37–87.Google Scholar
[4] Shimura, G., On Eisenstein series, Duke Math. J., 50 (1983), 417–176.Google Scholar