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arXiv · 1909.03435

Convergence of multiple Fourier series and Pick's theorem

Luca Brandolini·Leonardo Colzani·Sinai Robins·Giancarlo Travaglini
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Abstract

We add another brick to the large building comprising proofs of Pick's theorem. Although our proof is not the most elementary, it is short and reveals a connection between Pick's theorem and the pointwise convergence of multiple Fourier series of piecewise smooth functions.

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Luca Brandolini, Leonardo Colzani, Sinai Robins, Giancarlo Travaglini. 2019-09-08. Convergence of multiple Fourier series and Pick's theorem. https://arxiv.org/abs/1909.03435

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