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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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An undecidable property of definite integrals
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by Daniel T. Stallworth and Fred W. Roush PDF
Proc. Amer. Math. Soc. 125 (1997), 2147-2148 Request permission

Abstract:

We show that it is undecidable whether the definite contour multiple integral of an elementary meromorphic function is zero over an everywhere real analytic manifold on which it is analytic.
References
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Additional Information
  • Daniel T. Stallworth
  • Affiliation: Department of Mathematics, Alabama State University, Montgomery, Alabama 36101-0271
  • Fred W. Roush
  • Affiliation: Department of Mathematics, Alabama State University, Montgomery, Alabama 36101-0271
  • Email: froush@asu.alasu.edu
  • Received by editor(s): February 18, 1994
  • Received by editor(s) in revised form: January 29, 1996
  • Communicated by: Andreas R. Blass
  • © Copyright 1997 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 125 (1997), 2147-2148
  • MSC (1991): Primary 03B25
  • DOI: https://doi.org/10.1090/S0002-9939-97-03822-7
  • MathSciNet review: 1377008