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.
Brandolini, L., Colzani, L., Robins, S., Travaglini, G. (2021). Pick’s Theorem and Convergence of Multiple Fourier Series. THE AMERICAN MATHEMATICAL MONTHLY, 128(1), 41-49 [10.1080/00029890.2021.1839241].
Pick’s Theorem and Convergence of Multiple Fourier Series
Colzani, L;Travaglini, G
2021
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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