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Seminario Teoría de Números
Seminario Teoría de Números
Title: Average distribution of k-free numbers in arithmetic progressions
SPEAKER: Kui Liu (Qingdao University, China)
DATE & TIME: Martes 9 de mayo - 12:30
VENUE: Aula 520, Departamento de Matemáticas, UAM.
ABSTRACT: In this talk, we will first recall some previous results on the distribution of square-free and k-free numbers. Then we consider the distribution and average distribution of k -free numbers in arithmetic progressions. Finally, we will show how to estimate the average value of the error term of the asymptotic formula for the number of k -free numbers in arithmetic progressions. This is a joint work with I. E. Shparlinski and Tianping Zhang.