Posted in

Speaker:

Neelam Kandhil
Affiliation:

MPIM, Bonn
Date:

Wed, 15/02/2023 - 14:30 - 15:30
Location:

MPIM Lecture Hall
Parent event:

Number theory lunch seminar Contact: Pieter Moree (moree@mpim-bonn.mpg.de)

It is an open question of Baker whether Dirichlet L-values at 1 with fixed

modulus are linearly independent over the rational numbers.

The best-known result is due to Baker, Birch and Wirsing, which affirms this

when the modulus of the associated Dirichlet character is co-prime to its Euler's

phi value.

In this talk, we will discuss an extension of this result to any arbitrary family

of moduli. The interplay between the resulting ambient number fields brings

new technical issues and complications hitherto absent in the context of a fixed

modulus. We will also investigate the linear independence of such values at integers

greater than 1.

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