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THE MOMENTS OF MINKOWSKI QUESTION MARK FUNCTION: THE DYADIC PERIOD FUNCTION

THE MOMENTS OF MINKOWSKI QUESTION MARK FUNCTION: THE DYADIC PERIOD FUNCTION

Abstract The Minkowski question mark function ?( x ) arises as a real distribution of rationals in the Farey tree. We examine the generating function of moments of ?( x ). It appears that the generating function is a direct dyadic analogue of period functions for Maass wave forms and …