L-functions in Analytic Number Theory: Sebastian Zuniga Alterman
- Date: 12/04/2023
- Time: 12:00
Lecturer(s):
Sebastian Zuniga Alterman, University of Turku
Location:
University of Lethbridge
Topic:
Möbius function, an identity factory with applications I
Description:
By using an identity relating a sum to an integral, we obtain a family of identities for the averages M(X)=∑n≤X µ(n) and m(X)=∑n≤X µ(n)/n. Further, by choosing some specific families, we study two summatory functions related to the Möbius function, µ(n), namely ∑n≤X µ(n)/ns and ∑n≤X µ(n)/ns log(X/n), where s is a complex number and Re s >0. We also explore some applications and examples when s is real. (joint work with O. Ramaré)
Other Information:
Time: 11am Pacific/ 12pm Mountain
Location: M1040 (ULethbridge)/ 10-4068 (UNBC)
Join via Zoom: Register for link