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math.NT2023
Pair correlation of real-valued vector sequences
Sneha Chaubey, Shivani Goel
In this article, we investigate the fine-scale statistics of real-valued arithmetic sequences. In particular, we focus on real-valued vector sequences and show the Poissonian behav…
math.NT2023
Distribution of values of general Euler totient function
Debika Banerjee, Bittu Chahal, Sneha Chaubey +1
Let be a general totient function introduced first by Cald…
math.NT2023
Pair correlation of Farey fractions with square-free denominators
Bittu Chahal, Sneha Chaubey
In this article, we study the pair correlation of Farey fractions by proving that the limiting pair correlation function of the sequence of Farey fractions with square-free denomin…