Seminars and Colloquia
Mathematics
A full conjecture of José Lara Rodríguez for double zeta values in characteristic p
Wed, Jul 05, 2017,
03:30 PM to 04:30 PM
at Madhava Hall
Dr. Ryotaro Harada
Nagoya University, Japan
D. S. Thakur introduced the function field analogue of multiple zeta values and also showed the existence of a `harmonic product' formula in
general depth. In 2010, five formulae conjectured by J. A. Lara Rodríguez on certain power sums, which are related to the `harmonic product' formula
for Thakur’s double zeta values. The first formula was proved by himself in 2012. However, the other four formulae were still open problems. In this talk, we
prove affirmatively the first two formulae while we detect and correct errors in the last two formulae, and prove the corrected ones.