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Seminars

Seminar
FIELD Mathematics
DATE August 20 (Tue), 2019
TIME 11:00-15:00
PLACE 1424
SPEAKER Lejla Smajlovic
HOST Choi, Youn-Seo
INSTITUTE University of Sarajevo
TITLE Kronecker's Limit Formula II
ABSTRACT Since Kronecker’s paper from 1863, the Kronecker’s first limit formula has been studied by many mathematicians and in many different contexts. A basic idea behind the formula is rather simple: loosely speaking, the constant term of the Laurent series expansion at the pole s = 1 of (some) non-holomorphic Eisenstein-type series is a function carrying an important information about the arithmetic/geometric/spectral properties of the underlying space (at which the Eisenstein-type series is defined).

In this lecture, we will describe the Kronecker limit formula for three different non-holomorphic Eisenstein-type series and derive various interesting consequences stemming from the analysis of the constant terms in the formula (they will be referred to as the Kronecker limit functions).
FILE 989301561592729827_1.pdf
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