The talk this week is by A. Satyanarayana Reddy, Associate Professor of the Department of Mathematics at Shiv Nadar University.
Talk Announcement:
Title: A Gateway to the Circle Method: Ramanujan Sums and the Ternary Goldbach Problem
Title: A Gateway to the Circle Method: Ramanujan Sums and the Ternary Goldbach Problem
Speaker: A. Satyanarayana Reddy, Shiv Nadar University.
When: July 2, 2026, 4:00 PM- 5:00 PM IST
When: July 2, 2026, 4:00 PM- 5:00 PM IST
Where: Zoom
Abstract
The Ramanujan sum is a fundamental exponential sum possessing deep arithmetic and orthogonality properties. In this talk, we first establish these classical properties, then use them as a gateway to understand the Hardy-Littlewood Circle Method. We will see how additive problems like the Ternary Goldbach Conjecture are translated into integrals of exponential sums.
--
Gaurav Bhatnagar, Atul Dixit, Bibekananda Maji, Krishnan Rajkumar, and Manjil Saikia
Special Functions and Number Theory Seminar
No comments:
Post a Comment