Is the Riemann Hypothesis proved since 100 years ago?

Aldo Peretti
Notes on Number Theory and Discrete Mathematics
Print ISSN 1310–5132
Volume 1, 1995, Number 1, Pages 37—40
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Aldo Peretti
Murillo 1121, 9°, “D”, 141 Buenos Aires, Argentina

Abstract

With the words of the title I mean to say: it seems that with the formulas known 100 years ago, the truth of the Riemann hypothesis (that all the imaginary zeros of the zeta function have real part 1/2), can be derived in an easy and immediate way.

References

  1. C. Haselgrove, Tables of the Riemann Zeta Function, Cambridge, 1963.
  2. A. Peretti, The argument, of the Zeta function on the critical line, Bull, of Number Theory, Vol. VIII, 1964, No. 2, 6-29.
  3. Th. Stiltjes, Essai d’interpretation d’un passage des oeuvres de Riemann – Lettre de 15 avril 1887 (Appendice), p. 49. Correspondance Hermite-Stiltjes. Paris, G. Villars, Vol.11, 1905.
  4. H. von Mangoldt, Zur Verteilung der Nullstellen der Riemannschen Funktion S(t), Math. Ann., 60, 1905, 1-19.
  5. R. Backlund, Uber die Nullstellen der Riemannschen Zera Funktion, Acta MathematiKa, 41, 1918, 345-375.
  6. E. Titchmarsh, The Theory of the Riemann Zeta-Function, Ox­ford, 1951, Ch. IX, § 9.3, p. 179.

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Cite this paper

Peretti, A. (1995). Is the Riemann Hypothesis proved since 100 years ago? Notes on Number Theory and Discrete Mathematics, 1(1), 37-40.

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