Sieving with Fourier Polynomials on Primes (Lecture 2) by Olivier Ramare @ICTStalks

Uploaded June 2026 | Updated September 2026, 2 weeks ago

Discussion Meeting: The Classical Circle Method and the Large Sieve

ORGANIZERS: R. Balasubramanian (IMSc, Chennai, India), Prahlad Sharma (IIT Kanpur, India) and Saurabh Kumar Singh (IIT Kanpur, India)

DATE & TIME: 04 May 2026 to 08 May 2026

VENUE: Ramanujan Lecture Hall, ICTS Bengaluru

The circle method originated in the pioneering work of G. H. Hardy and S. Ramanujan on the partition function and was later refined by Hardy and Littlewood in their study of Waring’s problem. Since then, it has become a central tool in analytic number theory, leading to many striking applications, including the ternary Goldbach conjecture, which states that every odd integer greater than 5 can be written as the sum of three prime numbers.

This workshop aims to develop an understanding of the ideas and techniques underlying proofs obtained via the circle method. We will explore the analytic techniques and key ideas behind these proofs, with an emphasis on both classical and modern developments. A central theme of the workshop will be the close relationship between the circle method and the large sieve, and how large sieve techniques can be used to enhance the effectiveness of the circle method. Participants will have ample opportunities for interaction, including discussions with leading experts, the presentation of open problems, and collaborative exploration of new directions.

CONTACT US: ccmls@icts.res.in
PROGRAM LINK: icts.res.in/discussion-meeting/ccmls2026

Sieving with Fourier Polynomials on Primes (Lecture 2) by Olivier Ramare

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