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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Maass form twisted Shintani $\mathcal {L}$-functions
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by Bob Hough PDF
Proc. Amer. Math. Soc. 145 (2017), 4161-4174 Request permission

Abstract:

The Maass form twisted Shintani $\mathcal {L}$-functions are introduced, and some of their analytic properties are studied. These functions contain data regarding the distribution of shapes of cubic rings.
References
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Additional Information
  • Bob Hough
  • Affiliation: School of Mathematics, Institute for Advanced Study, 1 Einstein Drive, Princeton, New Jersey 08540
  • Address at time of publication: Department of Mathematics, Stony Brook University, 100 Nicolls Drive, Stony Brook, New York 11794
  • MR Author ID: 873503
  • Email: robert.hough@stonybrook.edu
  • Received by editor(s): June 2, 2016
  • Received by editor(s) in revised form: October 31, 2016
  • Published electronically: April 6, 2017
  • Additional Notes: This material was based upon work supported by the National Science Foundation under agreement No. DMS-1128155. Any opinions, findings and conclusions or recommendations expressed in this material are those of the author and do not necessarily reflect the views of the National Science Foundation.
    This work was partially supported by ERC Grant 279438, Approximate Algebraic Structure and Applications.
    This work was partially supported by the AIM Square on alternative proofs of the Davenport-Heilbronn Theorems.
  • Communicated by: Ken Ono
  • © Copyright 2017 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 145 (2017), 4161-4174
  • MSC (2010): Primary 11E45; Secondary 11M41, 11F72
  • DOI: https://doi.org/10.1090/proc/13563
  • MathSciNet review: 3690603