Timeline for Generalized Bernoulli numbers

Current License: CC BY-SA 4.0

14 events

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Oct 26 at 18:27	comment	added	Sidharth Ghoshal		And of course this same line of thinking lets us generalize to q-generalization of the euler-maclaurin (if $q$ is integral) formula etc etc... unclear if ANY of these provide useful insight but thats a family of ideas to consider
Oct 26 at 18:25	comment	added	Sidharth Ghoshal		The following idea is a little ridiculous but maybe its worth a thought. We know that the derivative of the Prime zeta function obeys $P'(s) = \sum_{n=1}^{\infty} \mu(n) \zeta'(ns)/\zeta(ns)$. Naively we might try to apply the Euler Maclaurin formula to the RHS in an attempt to define $P'(s)$ beyond its natural boundary however we have no notion of differentiating the mobius function $\mu(n)$. Your formulas instead could allow us to re-express the sum in terms of OTHER finite differences and maybe that could give some interesting insights.
Jul 12 at 22:04	history	edited	Марат Рамазанов	CC BY-SA 4.0	deleted 1 character in body
Jul 8 at 4:37	history	became hot network question
Jul 8 at 1:16	history	edited	Alexey Ustinov		edited tags
Jul 8 at 1:15	answer	added	Alexey Ustinov		timeline score: 8
S Jul 7 at 22:03	history	suggested	J. W. Tanner		This is a generalization of Bernoulli numbers, so added that tag
Jul 7 at 21:31	review	Suggested edits
S Jul 7 at 22:03
Jul 7 at 21:09	history	edited	RobPratt	CC BY-SA 4.0	deleted 3 characters in body; edited title
Jul 7 at 20:59	history	edited	Henri Cohen	CC BY-SA 4.0	edited body
Jul 7 at 20:48	history	edited	Марат Рамазанов	CC BY-SA 4.0	added 40 characters in body
Jul 7 at 20:38	comment	added	Марат Рамазанов		It was long ago but it's easy to derive.
Jul 7 at 20:35	comment	added	Carlo Beenakker		you might want to write down your formula?
Jul 7 at 20:33	history	asked	Марат Рамазанов	CC BY-SA 4.0