April 29, 2019
4:15PM - 5:15PM
Math Tower 154
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2019-04-29 16:15:00
2019-04-29 17:15:00
Number Theory Seminar - Jay Jorgenson
Title: Construction of non-holomorphic Eisenstein-type series and their Kronecker limit formulas
Speaker: Jay 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 URL: https://research.math.osu.edu/numbertheory/
Math Tower 154
OSU ASC Drupal 8
ascwebservices@osu.edu
America/New_York
public
Date Range
Add to Calendar
2019-04-29 16:15:00
2019-04-29 17:15:00
Number Theory Seminar - Jay Jorgenson
Title: Construction of non-holomorphic Eisenstein-type series and their Kronecker limit formulas
Speaker: Jay 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 URL: https://research.math.osu.edu/numbertheory/
Math Tower 154
Department of Mathematics
math@osu.edu
America/New_York
public
Title: Construction of non-holomorphic Eisenstein-type series and their Kronecker limit formulas
Speaker: Jay 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 URL: https://research.math.osu.edu/numbertheory/
