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Various (Poly)logarithmic Integrals and Multiple Zeta Values

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Michael Hoffman
U. S. Naval Academy, Annapolis
Mit, 2018-06-20 14:30 - 15:30
MPIM Lecture Hall
Parent event: 
Number theory lunch seminar

We show how integrals over [0,1] of products of the form
log^n(x)log^m(1-x)Li_p(x)Li_q(1-x)/x can be evaluated in
terms of multiple zeta values.  We also show how
integrals over [0,1] of log^n(x)log^m(1-x)x^i, i nonnegative,
can be written as rational polynomials in ordinary zeta
values and a kind of generalized binomial coefficients.

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