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- Research grants
- Ade Irma Suriajaya

Associate Professor, Faculty of Mathematics, Kyushu University*Profile is at the time of the award.

2024Inamori Research GrantsScience & Engineering

- Research topics
- The Riemann Zeta Function and Distribution of Prime Gaps

- Keyword

- Summary
- I am interested in understanding the analytic properties of zeta functions and L-functions, and their relations to the distribution of prime numbers. One of the most important and famous problem is the "Riemann Hypothesis" which states that all "non-trivial zeros" of the Riemann zeta function lie on the same straight line. I used to work mainly on the analytic properties of these non-trivial zeros but in my recent projects, I have been putting more focus on their applications to the distribution of twin primes, the Goldbach problem, and other unsolved problems.

Recently there has been a huge progress in the study of gaps between prime numbers. It has now been proven that we have a bounded gap between prime numbers and this breakthrough was made by my collaborator D.A. Goldston in his work with J. Pintz and C.Y. Yildirim in late 2000's. Based on that work, explicit bounds have been obtained and we got very close to the truth of the Twin Prime Conjecture, which simply states that there are infinitely many prime numbers of gap 2. This includes the work of Y. Zhang, J. Maynard (a 2022 Fields medalist), and the huge project group Polymath which is led by T. Tao (a 2006 Fields medalist). Goldston and I are digging into this problem further and we are currently working with J. Schettler. Unfortunately, not much progress has been done and we want to sit together and focus on this work. With this grant I am going to visit them in San Jose, California, to work on this problem.

Science & Engineering