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On a Function of Ramanujan
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Ramanujan has obtained a formula for the function
Φ(2s+1,x)=Σ((x+n+1)1/2-(x+n)1/2)2s+1=Σ((x+n+1)1/2+(x+n)1/2)-(2s+1) (s=1,2,3,...).
Φ(2s+1,x)=Σ((x+n+1)1/2-(x+n)1/2)2s+1=Σ((x+n+1)1/2+(x+n)1/2)-(2s+1) (s=1,2,3,...).
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