Pick’s Theorem and Convergence of Multiple Fourier Series

2021/01/02 by Luca Brandolini, Leonardo Colzani, Sinai Robins +1 · 1 citation
Mathematics · #Holomorphic and Operator Theory #Approximation Theory and Sequence Spaces #Mathematical functions and polynomials #Fourier series #Series (stratigraphy) #Convergence (economics) #Mathematics #Mathematical analysis #Calculus (dental) #Geology #Economics

paper · doi:10.1080/00029890.2021.1839241

openalex publication_date 2021/01/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29

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.

Citations

• Integer Points in Polyhedra
• Computing the Continuous Discretely

Cited by

• Pick's theorem [wikipedia]

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