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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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Interlacing property of the zeros of $j_n(\tau )$
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by Jonas Jermann PDF
Proc. Amer. Math. Soc. 140 (2012), 3385-3396 Request permission

Abstract:

We improve an estimate for $j_n(\tau )$ on the unit circle and use it to prove an interlacing property of the zeros of $j_n(\tau )$.
References
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Additional Information
  • Jonas Jermann
  • Affiliation: Department of Mathematics, ETH Zurich, Ramistrasse 101, 8092 Zurich, Switzerland
  • Email: jjermann@math.ethz.ch
  • Received by editor(s): August 9, 2010
  • Received by editor(s) in revised form: April 12, 2011
  • Published electronically: February 22, 2012
  • Communicated by: Kathrin Bringmann
  • © Copyright 2012 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 140 (2012), 3385-3396
  • MSC (2010): Primary 11F11; Secondary 11F03
  • DOI: https://doi.org/10.1090/S0002-9939-2012-11212-2
  • MathSciNet review: 2929008