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Question Number 119323 by mnjuly1970 last updated on 23/Oct/20

Commented by Dwaipayan Shikari last updated on 23/Oct/20

$$Whatis\eta (2n+1)?$$

Commented by mnjuly1970 last updated on 23/Oct/20

$$drichletetafunction$$$$\eta \left(s\right)=\underset{n=1}{\sum ^{\mathrm{\infty }}}\frac{{(-1)}^{n-1}}{n^s}$$$$example:\eta \left(2\right)=\underset{n=1}{\sum ^{\mathrm{\infty }}}\frac{{(-1)}^{n-1}}{n^2}=\frac{1}{2}\zeta \left(2\right)=\frac{{\pi }^2}{12}...$$

Commented by Dwaipayan Shikari last updated on 23/Oct/20

$$Asastudent,Iamgladtolearnfromyousir!:)$$

Commented by mnjuly1970 last updated on 23/Oct/20

$$thankyousomuch.$$$$tomeyouareverypoweful$$$$inmathematics.goodforyouand$$$$goodluckmrDwaipayan...$$$$$$

Answered by mindispower last updated on 23/Oct/20

$$nice$$

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