Regularity properties of k-Brjuno and Wilton functions
Regularity properties of k-Brjuno and Wilton functions
Abstract We study functions related to the classical Brjuno function, namely k -Brjuno functions and the Wilton function. Both appear in the study of boundary regularity properties of (quasi) modular forms and their integrals. We consider various possible versions of them, based on the $$\alpha $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>α</mml:mi></mml:math> -continued fraction …