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Mathematics of Computation

Published by the American Mathematical Society, the Mathematics of Computation (MCOM) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.98.

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Partitions approximated by finite cosine-series
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by Harvey Dubner PDF
Math. Comp. 58 (1992), 729-736 Request permission

Abstract:

By using a specialized numerical Laplace transform inversion technique the number of partitions are expressed by a finite cosine-series. The accuracy of the results is only limited by the accuracy of computation and available computer time. The method is general and is applicable to all generating functions.
References
  • J. Abate and H. Dubner, A new method for generating power series expansions of functions, SIAM J. Numer. Anal. 5 (1968), 102–112. MR 223067, DOI 10.1137/0705008
  • C. Caldwell, The near repdigit primes, J. Recreational Math. 22 (1990), 101-109.
  • H. Dubner and J. Abate, Numerical inversion of Laplace transforms by relating them to the finite Fourier cosine transform, J. Assoc. Comput. Mach. 15 (1968), 115–123. MR 235726, DOI 10.1145/321439.321446
  • G. H. Hardy and E. M. Wright, An introduction to the theory of numbers, 5th ed., The Clarendon Press, Oxford University Press, New York, 1979. MR 568909
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Additional Information
  • © Copyright 1992 American Mathematical Society
  • Journal: Math. Comp. 58 (1992), 729-736
  • MSC: Primary 65T10; Secondary 65R10
  • DOI: https://doi.org/10.1090/S0025-5718-1992-1122065-8
  • MathSciNet review: 1122065