# Seminars & Colloquia Calendar

## A generalization of the Riemann-Siegel formula

#### Cormac O'Sullivan (CUNY)

Location: ** Hill 525**

Date & time: Tuesday, 01 October 2019 at 2:00PM - 3:00PM

Abstract: The Riemann-Siegel formula gives one of the most efficient ways of computing the Riemann zeta function on the critical line. The formula was discovered by Riemann, but published much later by Siegel who deciphered it from Riemann’s notes. Siegel wrote in 1932 that it should be possible "without much difficulty" to generalize the formula to include the HardyLittlewood approximate functional equation, valid in any vertical strip. I’ll describe this natural generalization for the first time. Ingredients include the Mordell integrals which appear in the theory of mock modular forms, and an interesting new family of polynomials related to Hermite polynomials. These polynomials have functional equations coming from the functional equation of zeta, and all their zeros seem to lie on certain lines.

Chiara Damiolini, Ian Coley and Franco Rota -Charles Weibel Organizer's Page

Brooke Logan

Wujun Zhang Organizer's webpage

P. Gupta, X.Huang and J. Song Organizer's webpage

Swastik Kopparty, Sepehr Assadi Seminar webpage

Jeffry Kahn, Bhargav Narayanan, Jinyoung Park Organizer's webpage

Brooke Ogrodnik, Website

Robert Dougherty-Bliss and Doron Zeilberger --> homepage

Paul Feehan, Daniel Ketover, Natasa Sesum Organizer's webpage

Lev Borisov, Emanuel Diaconescu, Angela Gibney, Nicolas Tarasca, and Chris Woodward Organizer's webpage

Jason Saied Seminar webpage

Brian Pinsky, Rashmika Goswami website

Quentin Dubroff Organizer's webpage

James Holland; Organizer website

Edna Jones Organizer's webpage

Brooke Ogrodnik website

Yanyan Li, Zheng-Chao Han, Jian Song, Natasa Sesum Organizer's Webpage

Organizer: Luochen Zhao

Yanyan Li, Zheng-Chao Han, Natasa Sesum, Jian Song Organizer's Page

Lisa Carbone, Yi-Zhi Huang, James Lepowsky, Siddhartha Sahi Organizer's webpage

Simon Thomas website

Kasper Larsen, Daniel Ocone and Kim Weston Organizer's page

Joel Lebowitz, Michael Kiessling

Yanyan Li, Haim Brezis Organizer's Webpage

Stephen D. Miller, John C. Miller, Alex V. Kontorovich, Alex Walker seminar website

Stephen D. Miller

Brooke Ogrodnik, Website

Organizers: Yanyan Li, Z.C. Han, Jian Song, Natasa Sesum

Yael Davidov Seminar webpage

Kristen Hendricks, Xiaochun Rong, Hongbin Sun, Chenxi Wu Organizer's page

Fioralba Cakoni Seminar webpage

Ebru Toprak, Organizer

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