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Sigma Zeta is a national honor society for the natural sciences, computer science, and mathematics. [1] It was founded in 1925 at the now defunct Shurtleff College. [1] The society has regular chapters are baccalaureate institutions and association chapters at junior colleges. [2]
The zeta function values listed below include function values at the negative even numbers (s = −2, −4, etc.), for which ζ(s) = 0 and which make up the so-called trivial zeros. The Riemann zeta function article includes a colour plot illustrating how the function varies over a continuous rectangular region of the complex plane.
The Riemann zeta function ζ(z) plotted with domain coloring. [1] The pole at = and two zeros on the critical line.. The Riemann zeta function or Euler–Riemann zeta function, denoted by the Greek letter ζ (), is a mathematical function of a complex variable defined as () = = = + + + for >, and its analytic continuation elsewhere.
Sigma Zeta (ΣΖ) is a North American honor society founded in 1925 to recognize undergraduate excellence in the natural sciences, computer science, and mathematics. The society's purpose is to encourage and foster the attainment of knowledge in the natural and computer sciences and mathematics. [ 1 ]
The article "Ueber die Anzahl der Primzahlen unter einer gegebenen Grösse" (usual English translation: "On the Number of Primes Less Than a Given Magnitude") is a seminal 9-page paper by Bernhard Riemann published in the November 1859 edition of the Monatsberichte der Königlich Preußischen Akademie der Wissenschaften zu Berlin.
Lerch zeta function, a generalization of the Riemann zeta function; Local zeta function of a characteristic-p variety; Matsumoto zeta function; Minakshisundaram–Pleijel zeta function of a Laplacian; Motivic zeta function of a motive; Multiple zeta function, or Mordell–Tornheim zeta function of several variables; p-adic zeta function of a p ...
In mathematics, the explicit formulae for L-functions are relations between sums over the complex number zeroes of an L-function and sums over prime powers, introduced by Riemann (1859) for the Riemann zeta function.
Hugh Montgomery at Oberwolfach in 2008. In mathematics, Montgomery's pair correlation conjecture is a conjecture made by Hugh Montgomery () that the pair correlation between pairs of zeros of the Riemann zeta function (normalized to have unit average spacing) is