Appell-Lerch sum

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English

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Etymology

First studied by Paul Émile Appell and Mathias Lerch.

Noun

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  1. Template:Lb A generalization of Lambert series with the form
μ(u,v;τ)=a12θ(v;τ)nZ(b)nq12n(n+1)1aqn

where

q=e2πiτ,a=e2πiu,b=e2πiv

and

θ(v,τ)=nZ(1)nbn+12q12(n+12)2.

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