Jan Fornal

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math.DS2026

The Wiener Wintner Theorem Along the Primes

Jan Fornal, Anastasios Fragkos, Ben Krause +3

We prove the following Wiener-Wintner Theorem along the sequence of prime times, the first extension of the Wiener-Wintner Theorem to arithmetic sequences: for every probability sp…

math.DS2025

Pointwise ergodic theorem along primes of the form $x^{2} + n y^{2}$

Jan Fornal

This paper resolves the question of pointwise convergence for ergodic averages of a single function along the set of polynomial values of primes of the form $x^{2} + n y^{2}$ . Following…

The Wiener Wintner Theorem Along the Primes

Pointwise ergodic theorem along primes of the form x2+ny2

Pointwise ergodic theorem along primes of the form $x^{2} + n y^{2}$