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On distribution of polynomial farey points

Algebraic Geometry and Number Theory

Speaker: Sneha Chaubey, Indraprastha Institute of Information Technology Delhi
Related Webpage: https://www.iiitd.ac.in/sneha#
Location: 2112 MSB
Start time: Tue, Jan 7 2025, 1:00PM

We will discuss questions on the local and global distribution of some sequences emerging from the farey subdivision of the unit interval. In particular, we look at the discrepancy of this sequence and their pair correlation statistic. Moreover, upon limiting the denominators to certain subsets of prime, we get more explicit results. It generalizes the existing work on the distribution of common Farey points.