About the Uniform Hölder Continuity of Generalized Riemann Function

F. Bastin, S. Nicolay, L. Simons

In this paper, we study the uniform Hölder continuity of the generalized Riemann function $R_{\alpha ,\beta }$ (with $\alpha >1$ and $\beta >0$) defined by \[ R_{α,β}(x)=\sum_{n=1}^{+\infty}\frac{\sin(π…