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Dirichlet's Lemma


 int_0^pi(sin[(n+1/2)x])/(2sin(1/2x))dx=1/2pi,

where the integral kernel is the Dirichlet kernel.


See also

Dirichlet Kernel

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References

Cohn, H. Advanced Number Theory. New York: Dover, p. 37, 1980.Gradshteyn, I. S. and Ryzhik, I. M. Tables of Integrals, Series, and Products, 6th ed. San Diego, CA: Academic Press, p. 1101, 2000.

Referenced on Wolfram|Alpha

Dirichlet's Lemma

Cite this as:

Weisstein, Eric W. "Dirichlet's Lemma." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/DirichletsLemma.html

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