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- Riesz_function abstract "In mathematics, the Riesz function is an entire function defined by Marcel Riesz in connection with the Riemann hypothesis, by means of the power seriesIf we set we may define it in terms of the coefficients of the Laurent series development of the hyperbolic (or equivalently, the ordinary) cotangent around zero. Ifthen F may be defined asThe values of ζ(2k) approach one for increasing k, and comparing the series for the Riesz function with that for shows that it defines an entire function. Alternatively, F may be defined asdenotes the rising factorial power in the notation of D. E. Knuth and the number Bn are the Bernoulli number. The series is one of alternating terms and the function quickly tends to minus infinity for increasingly negative values of x. Positive values of x are more interesting and delicate.".
- Riesz_function thumbnail Riesz50.png?width=300.
- Riesz_function wikiPageExternalLink 42.
- Riesz_function wikiPageID "1470432".
- Riesz_function wikiPageRevisionID "571614595".
- Riesz_function hasPhotoCollection Riesz_function.
- Riesz_function subject Category:Zeta_and_L-functions.
- Riesz_function comment "In mathematics, the Riesz function is an entire function defined by Marcel Riesz in connection with the Riemann hypothesis, by means of the power seriesIf we set we may define it in terms of the coefficients of the Laurent series development of the hyperbolic (or equivalently, the ordinary) cotangent around zero. Ifthen F may be defined asThe values of ζ(2k) approach one for increasing k, and comparing the series for the Riesz function with that for shows that it defines an entire function.".
- Riesz_function label "Riesz function".
- Riesz_function sameAs m.05420q.
- Riesz_function sameAs Q7333165.
- Riesz_function sameAs Q7333165.
- Riesz_function wasDerivedFrom Riesz_function?oldid=571614595.
- Riesz_function depiction Riesz50.png.
- Riesz_function isPrimaryTopicOf Riesz_function.