2016
Feb
15

# Number theory: Andrey Levin (Moscow) "Kronecker double series at CM points and dilogarithm"

2:00pm to 3:00pm

## Location:

Ross building, 70A

This talk is in natural in the context of the Zagier conjecture.

We express values of the Kronecker double series at CM points in

terms of values some version (Bloch-Wigner) of dilogarithm in algebraic

numbers. As zeta-function of the Hilbert class field of quadratic field can

be expressed as combination of the Kronecker double series at CM points

my result gives explicit form of the Zagier conjecture.

My technique is rather elementary and the proof is based on the introduction

some new function (elliptic (1,1)-logarithm) and comparisons with it.

We express values of the Kronecker double series at CM points in

terms of values some version (Bloch-Wigner) of dilogarithm in algebraic

numbers. As zeta-function of the Hilbert class field of quadratic field can

be expressed as combination of the Kronecker double series at CM points

my result gives explicit form of the Zagier conjecture.

My technique is rather elementary and the proof is based on the introduction

some new function (elliptic (1,1)-logarithm) and comparisons with it.