11 citations · 23 across the 7 of their papers we have counts for
7 papers
Regularity properties of -Brjuno and Wilton functions
Seul Bee Lee, Stefano Marmi, Izabela Petrykiewicz +1
We study functions related to the classical Brjuno function, namely -Brjuno functions and the Wilton function. Both appear in the study of boundary regularity properties of (qua…
A computational history of prime numbers and Riemann zeros
Pieter Moree, Izabela Petrykiewicz, Alisa Sedunova
We give an informal survey of the historical development of computations related to prime number distribution and zeros of the Riemann zeta function.
Hausdorff dimension of particularly non-normal numbers in dynamical systems fulfilling the specification property
Manfred G. Madritsch, Izabela Petrykiewicz
In this paper, we consider non-normal numbers occurring in dynamical systems fulfilling the specification property. It has been shown that in this case the set of non-normal number…
The Hölder exponent of some Fourier series
Fernando Chamizo, Izabela Petrykiewicz, Serafín Ruiz-Cabello
In this paper we study the local regularity of fractional integrals of Fourier series using several definitions of the Hölder exponent. We especially consider series coming from fr…
Differentiability of arithmetic Fourier series arising from Eisenstein series
Izabela Petrykiewicz
Let be even. We consider two series and , w…
Non-normal numbers in dynamical systems fulfilling the specification property
Manfred G. Madritsch, Izabela Petrykiewicz
In the present paper we want to focus on this dichotomy of the non-normal numbers -- on the one hand they are a set of measure zero and on the other hand they are residual -- for d…
Hölder regularity of arithmetic Fourier series arising from modular forms
Izabela Petrykiewicz
Given a modular form which is not a cusp form of weight , we define the series $M_{k,s}(x)=\sum_{n=1}^{\infty}\frac{r_n}{n^s}\sin…