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- W3199826380 abstract "We present a new and simple method for the determination of the pointwise Holder exponent of Riemann's function $sum_{n=1}^{infty} n^{-2}sin(pi n^{2} x)$ at every point of the real line. In contrast to earlier approaches, where wavelet analysis and the theta modular group were needed for the analysis of irrational points, our method is direct and elementary, being only based on the following tools from number theory and complex analysis: the evaluation of quadratic Gauss sums, the Poisson summation formula, and Cauchy's theorem." @default.
- W3199826380 created "2021-09-27" @default.
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- W3199826380 date "2023-08-29" @default.
- W3199826380 modified "2023-10-16" @default.
- W3199826380 title "The pointwise behavior of Riemann’s function" @default.
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- W3199826380 doi "https://doi.org/10.4171/jfg/137" @default.
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