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Mordell Integral


The integral

 phi(t,u)=int(e^(piitx^2+2piiux))/(e^(2piix)-1)dx

which is related to the Jacobi theta functions, mock theta functions, Riemann zeta function, and Siegel theta function.


See also

Jacobi Theta Functions, Mock Theta Function, Riemann Zeta Function, Siegel Theta Function

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Cite this as:

Weisstein, Eric W. "Mordell Integral." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/MordellIntegral.html

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