DLMF:25.11.E24 (Q7698): Difference between revisions

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Revision as of 13:41, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint ← Older edit		Latest revision as of 13:41, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint
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		Property / Symbols used
			Q12149
		Property / Symbols used: Q12149 / rank
			Normal rank
		Property / Symbols used: Q12149 / qualifier
			Defining formula: ${\displaystyle{\displaystyle s}}$ s
		Property / Symbols used: Q12149 / qualifier
			xml-id: C25.S1.XMD7.m1pdec
		Property / Symbols used
			Q12162
		Property / Symbols used: Q12162 / rank
			Normal rank
		Property / Symbols used: Q12162 / qualifier
			Defining formula: ${\displaystyle{\displaystyle k}}$ k
		Property / Symbols used: Q12162 / qualifier
			xml-id: C25.S11.XMD2.m1cdec

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Latest revision as of 13:41, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:25.11.E24	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle\sum_{r=1}^{k-1}\zeta'\left(s,\frac{r}{k}\right)=(k^{s}-1)\zeta'\left(s\right)+k^{s}\zeta\left(s\right)\ln k,}}$

0 references

DLMF id

DLMF:25.11.E24

0 references

constraint

${\displaystyle{\displaystyle k=1,2,3,\dots}}$

0 references

Symbols used

Hurwitz zeta function

Defining formula

${\displaystyle{\displaystyle\zeta\left(\NVar{s},\NVar{a}\right)}}$

xml-id

C25.S11.E1.m2aydec

0 references

Riemann zeta function

Defining formula

${\displaystyle{\displaystyle\zeta\left(\NVar{s}\right)}}$

xml-id

C25.S2.E1.m2afdec

0 references

principal branch of logarithm function

Defining formula

${\displaystyle{\displaystyle\ln\NVar{z}}}$

xml-id

C4.S2.E2.m2afdec

0 references

Q12161

Defining formula

${\displaystyle{\displaystyle a}}$

xml-id

C25.S1.XMD6.m1sdec

0 references

Q12149

Defining formula

${\displaystyle{\displaystyle s}}$

xml-id

C25.S1.XMD7.m1pdec

0 references

Q12162

Defining formula

${\displaystyle{\displaystyle k}}$

xml-id

C25.S11.XMD2.m1cdec

0 references

 

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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