MULTIFRACTAL ANALYSIS OF GENERALIZED THUE-MORSE TRIGONOMETRIC POLYNOMIALS
We consider the generalized Thue-Morse sequences [Formula Presented] being a parameter) defined by [Formula Presented], where s2(n) is the sum of digits of the binary expansion of n. For the polynomials [Formula Presented] we have proved in [18] that the uniform norm [Formula Presented] behaves like Nγ(c)and the best exponent γ(c) is computed. In this paper, we study the pointwise behavior and giv