Loterre: Mathématiques: Riesz function

... > complex analysis > analytic function > holomorphic function > entire function > Riesz function

... > real-valued function > analytic function > holomorphic function > entire function > Riesz function

number > number theory > analytic number theory > L-function > Riesz function

mathematical analysis > complex analysis > meromorphic function > L-function > Riesz function

Riesz function

In mathematics, the Riesz function is an entire function defined by Marcel Riesz in connection with the Riemann hypothesis, by means of the power series

${\\displaystyle {\ m {Riesz}}(x)=-\\sum _{k=1}^{\\infty }{\ rac {(-x)^{k}}{(k-1)!\\zeta (2k)}}=x\\sum _{n=1}^{\\infty }{\ rac {\\mu (n)}{n^{2}}}\\exp \\left({\ rac {-x}{n^{2}}}\ ight).}$

http://data.loterre.fr/ark:/67375/PSR-T6HZX2JX-V

RDF/XML TURTLE JSON-LD Date de création 22/08/2023, dernière modif. 22/08/2023

LOTERRE