Some calculations related to Riemann’s prime number formula
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- by Hans Riesel and Gunnar Göhl PDF
- Math. Comp. 24 (1970), 969-983 Request permission
Abstract:
The objective of this paper is to study the relation of the complex zeros of the Riemann zeta function to the distribution of prime numbers. This relation arises from a formula of Riemann, which is studied here by extensive machine calculations. To establish the validity of the computations, reasonable upper bounds for the various errors involved are deduced. The analysis makes use of a formula, (32), which seems to be quite new.References
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Additional Information
- © Copyright 1970 American Mathematical Society
- Journal: Math. Comp. 24 (1970), 969-983
- MSC: Primary 10.41
- DOI: https://doi.org/10.1090/S0025-5718-1970-0277489-3
- MathSciNet review: 0277489