DLMF:25.8.E6 (Q7663): Difference between revisions

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Revision as of 13:33, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint ← Older edit		Latest revision as of 13:34, 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
			Q12150
		Property / Symbols used: Q12150 / rank
			Normal rank
		Property / Symbols used: Q12150 / qualifier
			Defining formula: ${\displaystyle{\displaystyle k}}$ k
		Property / Symbols used: Q12150 / qualifier
			xml-id: C25.S1.XMD1.m1edec
		Property / Symbols used
			Q12156
		Property / Symbols used: Q12156 / rank
			Normal rank
		Property / Symbols used: Q12156 / qualifier
			Defining formula: ${\displaystyle{\displaystyle z}}$ z
		Property / Symbols used: Q12156 / qualifier
			xml-id: C25.S1.XMD8.m1adec

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Latest revision as of 13:34, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:25.8.E6	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle\sum_{k=0}^{\infty}\zeta\left(2k\right)z^{2k}=-\tfrac{1}{2}\pi z\cot\left(\pi z\right),}}$

0 references

DLMF id

DLMF:25.8.E6

0 references

constraint

${\displaystyle{\displaystyle|z|<1}}$

0 references

Symbols used

Riemann zeta function

Defining formula

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

xml-id

C25.S2.E1.m2aedec

0 references

the ratio of the circumference of a circle to its diameter

Defining formula

${\displaystyle{\displaystyle\pi}}$

xml-id

C3.S12.E1.m2aadec

0 references

cotangent function

Defining formula

${\displaystyle{\displaystyle\cot\NVar{z}}}$

xml-id

C4.S14.E7.m2adec

0 references

Q12150

Defining formula

${\displaystyle{\displaystyle k}}$

xml-id

C25.S1.XMD1.m1edec

0 references

Q12156

Defining formula

${\displaystyle{\displaystyle z}}$

xml-id

C25.S1.XMD8.m1adec

0 references

 

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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