Monday, July 20, 2026

A. Satyanarayana Reddy (Shiv Nadar University) - Thursday, July 2, 2026 - 4:00 PM (IST)

Talk Announcement: 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 Link: https://youtube.com/live/MSXP_YYzNWA?feature=share 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.