Calculation of the Ramanujan -Dirichlet series

Author:
Robert Spira

Journal:
Math. Comp. **27** (1973), 379-385

MSC:
Primary 65D20

MathSciNet review:
0326995

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Abstract: A method is found for calculating the Ramanujan -Dirichlet series . An inequality connecting points symmetric with the critical line, , is proved, and a table is given for for . Two zeros are found in ; they appear to be simple and on the critical line.

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DOI:
http://dx.doi.org/10.1090/S0025-5718-1973-0326995-4

Article copyright:
© Copyright 1973
American Mathematical Society