Convergence of multiple Fourier series and Pick's theorem
Number Theory
2019-09-10 v1
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.
Cite
@article{arxiv.1909.03435,
title = {Convergence of multiple Fourier series and Pick's theorem},
author = {Luca Brandolini and Leonardo Colzani and Sinai Robins and Giancarlo Travaglini},
journal= {arXiv preprint arXiv:1909.03435},
year = {2019}
}