Posted in

Speaker:

Marc Munsch
Affiliation:

Technical University of Graz
Date:

Wed, 2019-10-30 14:30 - 15:30
Location:

MPIM Lecture Hall
Parent event:

Number theory lunch seminar In recent years, the question of maximizing GCD sums regained interest due to its firm

link with large values of L-functions, leading for instance to the breakthrough improvement of

Bondarenko and Seip concerning the maximum of the Riemann zeta function on the critical line.

In this talk, we address the counterpart problem of minimizing GCD sums and present several

results with applications. We consider as well a related optimization question regarding the

usual multiplicative energy of a subset of the first N integers. This is part of a joint work with

de la Bretèche and Tenenbaum.

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