Dear All,
The talk of this week will be delivered by Bittu Chahal, a post-doctoral fellow of the Department of Mathematics at IIT Indore.
Talk Announcement:
Title: Spacing statistics of the Farey sequence
Title: Spacing statistics of the Farey sequence
Speaker: Bittu Chahal, IIT Indore.
When: July 23, 2026, 4:00 PM- 5:00 PM IST
When: July 23, 2026, 4:00 PM- 5:00 PM IST
Where: Zoom:
Abstract:
The Farey sequence $\mathcal{F}_Q$ of order $Q$ is the ascending sequence of fractions $a/b$ in the unit interval $(0,1]$ such that $\gcd(a,b)=1$ and $0<a\leq b\leq Q$. The study of the Farey sequence is of independent interest because of its role in the Diophantine approximation, the circle method, and its connection to the Riemann Hypothesis, as established by the classical work of Franel and Landau. In this talk, we discuss the spacing statistics of the Farey sequence by studying equidistribution and correlation measure. In particular, we establish an estimate for the corresponding Weyl sum and explore whether correlation measure is Poissonian or non-Poissonian.
Thank you.
With kind regards,
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Gaurav Bhatnagar, Atul Dixit, Bibekananda Maji, Krishnan Rajkumar, and Manjil Saikia
Special Functions and Number Theory Seminar
