I've been studying the slope of the sawtooth waveform $$\sum_{n=1}^\infty \frac{sin(nx)}{x}$$ And found that, for $x \in (0, 2\pi)$, its graph seems to line up perfectly with the line $$y = \frac{x}{2}+\gamma+1$$ Where $\gamma$ is the Euler-Mascheroni constant, $\approx.57721566...$ What is this constant doing here?
2026-03-26 04:30:58.1774499458
Connection between the sawtooth Fourier series and the Euler-Mascheroni constant?
27 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in FOURIER-ANALYSIS
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