[Aec-friends] Invitation: 2nd talk by Prof. Armin Straub
Tanja Gutenbrunner
Tanja.Gutenbrunner at risc.jku.at
Tue Apr 26 09:10:43 CEST 2022
Dear all,
Let me invite you cordially to the second Zoom
talk by Armin Straub; this time, it is a special
invited lecture as part of the RISC Algorithmic
Combinatorics Seminar.
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Zoom-Login:
https://jku.zoom.us/j/94507814483?pwd=OTJRbEdhc1FlKzZZYklSQk9EaGZhdz09
Meeting-ID: 945 0781 4483
Password: HaveFun
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Title: Sums of powers of binomials, their Apery limits, and Franel's
suspicions
Speaker: Prof. Armin Straub
(University of South Alabama, U.S.A.)
Time and Location: Wednesday, April 27, 2022, 2 p.m.
RISC pond seminar room and Zoom
Abstract: Apery's proof of the irrationality of zeta(3) relies on
representing that value as the limit of the quotient of two rational
solutions to a three-term recurrence. We review such Apery limits and
explore a particularly simple instance. We then explicitly determine the
Apery limits attached to sums of powers of binomial coefficients. As
an application, we prove a weak version of Franel's conjecture on the
order of the recurrences for these sequences. This is based on joint
work with Wadim Zudilin.
Best wishes,
Veronika Pillwein
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