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Seminars

Seminar
FIELD Mathematics
DATE August 19 (Mon), 2019
TIME 11:00-15:00
PLACE 1424
SPEAKER Lejla Smajlovic
HOST Choi, Youn-Seo
INSTITUTE University of Sarajevo
TITLE Kronecker's Limit Formula I
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 47481561592738671_1.pdf
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