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math.DS2025
Density of orbits of horocycle flows at sub-quadratic polynomial times
Adam Kanigowski, Maksym Radziwiłł
Let be such that the space is not compact. Let be the horocycle flow acting on . We show that for every $x…
math.NT2025
means of exponential sums with multiplicative coefficients. II
Mayank Pandey, Maksym Radziwiłł
Let be a real-valued -bounded multiplicative function. Suppose that the mean-value of exists, and $$\int_{0}^{1} \Big | \sum_{n \leq N} f(n)e^{2πi n α} \Big | d α\le…