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Number Theory Seminar - Jiakun Pan

Number Theory Seminar
November 25, 2019
4:15PM - 5:15PM
Math Tower 154

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Add to Calendar 2019-11-25 16:15:00 2019-11-25 17:15:00 Number Theory Seminar - Jiakun Pan Title: Quantum Unique Equidistribution conjecture for Eisenstein series in the level aspect Speaker: Jiakun Pan - Texas A&M University  Abstract: We study Eisenstein series on growing levels with general central characters, and find an asymptotic formula for their mass distribution, which we call Quantum Unique Ergodicity (QUE). In addition, as an analogy of the t-aspect small scale QUE for Eisenstein series by Young and Humphries separately, we consider above formula under weaker assumptions for the test functions. Consequently, complications occur, to our surprise... Seminar Link Math Tower 154 Department of Mathematics math@osu.edu America/New_York public

Title: Quantum Unique Equidistribution conjecture for Eisenstein series in the level aspect

Speaker: Jiakun Pan - Texas A&M University 

Abstract: We study Eisenstein series on growing levels with general central characters, and find an asymptotic formula for their mass distribution, which we call Quantum Unique Ergodicity (QUE). In addition, as an analogy of the t-aspect small scale QUE for Eisenstein series by Young and Humphries separately, we consider above formula under weaker assumptions for the test functions. Consequently, complications occur, to our surprise...

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