Euler's Zeta and Double Zeta Values and Other Rational Zeta Series Representations

Tuesday, October 17, 2017 - 12:00 to 12:45

158 Benedum Hall

Speaker Information
Cezar Lupu
University of Pittsburgh

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Abstract or Additional Information

 In this talk, we bring into light some famous zeta values formulas due to Euler. One of them is the celebrated Basel problem $\zeta(2)=\frac{\pi^2}{6}$ which is solved completely by Euler himself in 1734. We also prove similar formulas for double zeta values and we give some rational zeta representations for $\pi$ and Apery's constant $\zeta(3)$.