Hauptseminar Modulformen

We introduce Appell's functions F_1, F_2, F_3 and F_4 and derive the Bailey-Brafman identity motivated by the study of F_4. This relation is a generalization of Clausen's identity for hypergeometric series. We then discuss the relationship between Bailey-Brafman identity and series for 1/pi conjectured by Z.W. Sun and give a proof of an elegant identity discovered by J. Wan and W. Zudilin in their attempt to prove two groups of series for 1/pi discovered by Z.W. Sun. The talk ends with a generalization of Wan-Zudilin identity discovered by Y. Tanigawa.

Mittwoch, den 19. Oktober 2016 um 11 Uhr c.t. Uhr, in Mathematikon, INF 205, Seminarraum 4, 3. OG Mittwoch, den 19. Oktober 2016 at 11 Uhr c.t., in Mathematikon, INF 205, Seminarraum 4, 3. OG

Der Vortrag folgt der Einladung von The lecture takes place at invitation by Prof. W. Kohnen