Number Theory Seminar - Jay Jorgenson

April 21, 2019
Monday, April 29, 2019 - 4:15pm to 5:15pm
Math Tower 154
Number Theory Seminar

Title: Construction of non-holomorphic Eisenstein-type series and their Kronecker limit formulas

SpeakerJay Jorgenson (City College of New York)

Abstract: We will describe a means by which one can define and study a generalization of the non-holomorphic "elliptic" Eisenstein series from $\text{PSL}(2,\mathbb{R})$. We prove that our generalization admits a meromorphic continuation and a type of Kronecker limit function. As an example, we consider n-dimensional projective space and show that our approach leads to new expressions for Mahler measures of linear forms in terms of convergent series expansions. This work is joint with James Cogdell and Lejla Smajlovic.

Seminar URLhttps://research.math.osu.edu/numbertheory/

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