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Counting problems involving multiplicative arithmetic functions of several variables

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Laszlo Toth
University of Pécs, Hungary/MPIM
Wed, 2017-02-22 14:15 - 15:15
MPIM Lecture Hall
Parent event: 
Number theory lunch seminar

I will discuss the following counting problems: (1) the number of solutions of certain
restricted linear congruences in several variables, connected to Ramanujan sums, (2) the
number of $r$-tuples of positive integers with $k$-wise relatively prime components,
(3) the average number of subgroups of rank two and rank three abelian groups.

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