Session 1. Analytic Number Theory |
On a certain senary cubic form |
Valentin Blomer, Universität Göttingen, Germany |
The talk is based on the joint work with J. Brüdern and P. Salberger |
We prove a strong form of the Manin-Peyre conjecture on the number
of rational points of bounded height for a certain cubic
fourfold. The leading constant in the asymptotic formula is derived
by a graph theoretic argument, and the counting problem features
multiple Dirichlet series.
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