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math.CA2026
A Variation Norm Carleson Theorem Along the Primes
Anastasios Fragkos, Ben Krause, Nazar Miheisi +1
Let denote the von Mangoldt function; we prove that for each , there exist constants \[ r' < \mathbf{c}(r) < 2 < \mathbf{C}(r), \qquad \lim_{r \to \infty} \mathbf{c}(r)…
math.CA2024
Averages with the Gaussian divisor: Weighted Inequalities and the Pointwise Ergodic Theorem
Christina Giannitsi, Nazar Miheisi, Hamed Mousavi
We discuss the Pointwise Ergodic Theorem for the Gaussian divisor function , that is, for a measure preserving action , the limit $$\lim_{N\rightarrow \inft…