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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

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

The 2020 MCQ for Mathematics of Computation is 1.78.

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Sharper bounds for the Chebyshev functions $\theta (x)$ and $\psi (x)$
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by J. Barkley Rosser and Lowell Schoenfeld PDF
Math. Comp. 29 (1975), 243-269 Request permission

Abstract:

The authors demonstrate a wider zero-free region for the Riemann zeta function than has been given before. They give improved methods for using this and a recent determination that the first 3,502,500 zeros lie on the critical line to develop better bounds for functions of primes.
References
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Additional Information
  • © Copyright 1975 American Mathematical Society
  • Journal: Math. Comp. 29 (1975), 243-269
  • MSC: Primary 10H05
  • DOI: https://doi.org/10.1090/S0025-5718-1975-0457373-7
  • MathSciNet review: 0457373