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mathematical physics > special function > Riemann zeta function > Selberg's zeta function conjecture
mathematical analysis > functional analysis > special function > Riemann zeta function > Selberg's zeta function conjecture
mathematical analysis > complex analysis > analytic function > Riemann zeta function > Selberg's zeta function conjecture
... > mathematical analysis > real analysis > real-valued function > analytic function > Riemann zeta function > Selberg's zeta function conjecture
... > number > number theory > analytic number theory > L-function > Riemann zeta function > Selberg's zeta function conjecture
... > mathematical analysis > complex analysis > meromorphic function > L-function > Riemann zeta function > Selberg's zeta function conjecture

Terme préférentiel

Selberg's zeta function conjecture  

Définition

  • In mathematics, the Selberg conjecture, named after Atle Selberg, is a theorem about the density of zeros of the Riemann zeta function ζ(1/2 + it). It is known that the function has infinitely many zeroes on this line in the complex plane: the point at issue is how densely they are clustered. Results on this can be formulated in terms of N(T), the function counting zeroes on the line for which the value of t satisfies 0 ≤ t ≤ T.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Selberg%27s_zeta_function_conjecture)

Concept générique

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URI

http://data.loterre.fr/ark:/67375/PSR-Q965KJ3N-N

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RDF/XML TURTLE JSON-LD Date de création 22/08/2023, dernière modification le 18/10/2024