Zeros of sections of the zeta function. I

Author:
Robert Spira

Journal:
Math. Comp. **20** (1966), 542-550

MSC:
Primary 65.25

DOI:
https://doi.org/10.1090/S0025-5718-1966-0203910-1

MathSciNet review:
0203910

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References | Similar Articles | Additional Information

**[1]**P. Turán,*Nachtrag zu meiner Abhandlung “On some approximative Dirichlet polynomials in the theory of zeta-function of Riemann”*, Acta Math. Acad. Sci. Hungar.**10**(1959), 277–298 (unbound insert) (German, with Russian summary). MR**0115977**, https://doi.org/10.1007/BF02024493**[2]**P. Turán, "On some approximative Dirichlet polynomials in the theory of the zetafunction of Riemann,"*Danske Vid. Selsk. Mat.-Fys Medd.*, v. 24, no. 17, 1948, pp. 3-36. MR**10**, 286.**[3]**Tom M. Apostol,*Sets of values taken by Dirichlet’s 𝐿-series*, Proc. Sympos. Pure Math., Vol. VIII, Amer. Math. Soc., Providence, R.I., 1965, pp. 133–137. MR**0176961****[4]**R. E. Langer,*On the zeros of exponential sums and integrals*, Bull. Amer. Math. Soc.**37**(1931), no. 4, 213–239. MR**1562129**, https://doi.org/10.1090/S0002-9904-1931-05133-8**[5]**Charles E. Wilder,*Expansion problems of ordinary linear differential equations with auxiliary conditions at more than two points*, Trans. Amer. Math. Soc.**18**(1917), no. 4, 415–442. MR**1501077**, https://doi.org/10.1090/S0002-9947-1917-1501077-6**[6]**Robert Spira,*Approximate functional approximations and the Riemann hypothesis*, Proc. Amer. Math. Soc.**17**(1966), 314–317. MR**0199163**, https://doi.org/10.1090/S0002-9939-1966-0199163-5**[7]**R. Spira, "Table of zeros of sections of the zeta function," UMT files.**[8]**R. Spira,*Check Values, Zeros and Fortran Programs for the Riemann Zeta Function and its First Three Derivatives*, Report No. 1, University Computation Center, University of Tennessee, Knoxville, Tennessee.**[9]**D. H. Lehmer,*Extended computation of the Riemann zeta-function*, Mathematika**3**(1956), 102–108. MR**0086083**, https://doi.org/10.1112/S0025579300001753**[10]**Robert Spira,*Zeros of approximate functional approximations*, Math. Comp.**21**(1967), 41–48. MR**0234629**, https://doi.org/10.1090/S0025-5718-1967-0234629-X

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DOI:
https://doi.org/10.1090/S0025-5718-1966-0203910-1

Article copyright:
© Copyright 1966
American Mathematical Society