Some zeros of the Titchmarsh counterexample
Author:
Robert Spira
Journal:
Math. Comp. 63 (1994), 747-748
MSC:
Primary 11M41; Secondary 11Y35
DOI:
https://doi.org/10.1090/S0025-5718-1994-1254148-8
MathSciNet review:
1254148
Full-text PDF Free Access
Abstract | References | Similar Articles | Additional Information
Abstract: Zeros on and off the critical line are found for Titchmarsh’s function $f(s)$.
- E. C. Titchmarsh, The Theory of the Riemann Zeta-Function, Oxford, at the Clarendon Press, 1951. MR 0046485 S. M. Voronin, On the distribution of zeros of some Dirichlet series, Proc. Steklov Inst. Math. (1985), no. 4, 89-92.
- Robert Spira, Calculation of Dirichlet $L$-functions, Math. Comp. 23 (1969), 489–497. MR 247742, DOI https://doi.org/10.1090/S0025-5718-1969-0247742-X
- Robert Spira, On the Riemann zeta function, J. London Math. Soc. 44 (1969), 325–328. MR 260684, DOI https://doi.org/10.1112/jlms/s1-44.1.325
- A. A. Karatsuba and S. M. Voronin, The Riemann zeta-function, De Gruyter Expositions in Mathematics, vol. 5, Walter de Gruyter & Co., Berlin, 1992. Translated from the Russian by Neal Koblitz. MR 1183467
Retrieve articles in Mathematics of Computation with MSC: 11M41, 11Y35
Retrieve articles in all journals with MSC: 11M41, 11Y35
Additional Information
Keywords:
Riemann zeta function
Article copyright:
© Copyright 1994
American Mathematical Society
