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extended Riemann hypothesis

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  • Riemann hypothesis — The real part (red) and imaginary part (blue) of the Riemann zeta function along the critical line Re(s) = 1/2. The first non trivial zeros can be seen at Im(s) = ±14.135, ±21.022 and ±25.011 …   Wikipedia

  • Generalized Riemann hypothesis — The Riemann hypothesis is one of the most important conjectures in mathematics. It is a statement about the zeros of the Riemann zeta function. Various geometrical and arithmetical objects can be described by so called global L functions, which… …   Wikipedia

  • Riemann zeta function — ζ(s) in the complex plane. The color of a point s encodes the value of ζ(s): dark colors denote values close to zero and hue encodes the value s argument. The white spot at s = 1 is the pole of the zeta function; the black spots on the… …   Wikipedia

  • Hypothèse de Riemann — Représentation du module de la fonction zêta de Riemann. En mathématiques, l hypothèse de Riemann est une conjecture formulée en 1859 par le mathématicien allemand Bernhard Riemann. Elle dit que les zéros non triviaux de la fonction zêta d …   Wikipédia en Français

  • Mathematics and Physical Sciences — ▪ 2003 Introduction Mathematics       Mathematics in 2002 was marked by two discoveries in number theory. The first may have practical implications; the second satisfied a 150 year old curiosity.       Computer scientist Manindra Agrawal of the… …   Universalium

  • Dedekind zeta function — In mathematics, the Dedekind zeta function of an algebraic number field K, generally denoted ζK(s), is a generalization of the Riemann zeta function which is obtained by specializing to the case where K is the rational numbers Q. In particular,… …   Wikipedia

  • Michael O. Rabin — Michael Oser Rabin Born September 1, 1931 (1931 09 01) (age 80) Breslau …   Wikipedia

  • Bombieri, Enrico — ▪ Italian mathematician born November 26, 1940, Milan, Italy       Italian mathematician who was awarded the Fields Medal in 1974 for his work in number theory. Between 1979 and 1982 Bombieri served on the executive committee of the International …   Universalium

  • Euclidean domain — In abstract algebra, a Euclidean domain (also called a Euclidean ring) is a type of ring in which the Euclidean algorithm applies. A Euclidean domain is a specific type of integral domain, and can be characterized by the following (not… …   Wikipedia

  • ERH — may refer to:* The Extended Riemann Hypothesis in mathematics* Era Aviation has ICAO designator ERH * Erith railway station has National Rail code ERH …   Wikipedia

  • Nesmith Ankeny — Nesmith Cornett Ankeny (* 1927 in Walla Walla (Washington); † 4. August 1993 in Seattle) war ein US amerikanischer Mathematiker, der sich mit Zahlentheorie beschäftigte. Ankeny studierte an der Stanford University und wurde 1950 bei Emil Artin an …   Deutsch Wikipedia

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