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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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Elliptic genera of level $N$ and Jacobi polynomials
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by J. Barr von Oehsen PDF
Proc. Amer. Math. Soc. 122 (1994), 303-312 Request permission

Abstract:

In this work, we study Hirzebruch’s level N elliptic genera and show that the image of the complex projective spaces under the level 3 genus can be realized very compactly in terms of Jacobi polynomials. To obtain these results we examine a differential equation which the level 3 logarithm satisfies.
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Additional Information
  • © Copyright 1994 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 122 (1994), 303-312
  • MSC: Primary 55N22; Secondary 11F11, 33C45, 57R77
  • DOI: https://doi.org/10.1090/S0002-9939-1994-1246539-8
  • MathSciNet review: 1246539