Published on *Max Planck Institute for Mathematics* (http://www.mpim-bonn.mpg.de)

Posted in

- Talk [1]

Speaker:

Tomoyoshi Ibukiyama
Affiliation:

Osaka University
Date:

Sat, 2011-06-25 10:15 - 11:15 Around 1977, Don Zagier conjectured exact critical values of the symmetric fourth $L$-function of the Ramanujan $\Delta$ function, expressing them by explicit rational numbers, power of $\pi$, and the inner product of $\Delta$, based on numerical calculations and Deligne's conjectures.

In this talk, we will give their explicit exact values (with proof), using Siegel modular forms, pullback formulas, and differential operators. This is a joint work with H. Katsurada.

We also talk shortly on some congruence and a theory of differential operators on Siegel modular forms.

**Links:**

[1] http://www.mpim-bonn.mpg.de/taxonomy/term/39

[2] http://www.mpim-bonn.mpg.de/node/44

[3] http://www.mpim-bonn.mpg.de/node/2866