Classification of rational angles in plane lattices

DOI10.1090/bull/1723zbMath1494.11055arXiv2005.13598OpenAlexW3210435250MaRDI QIDQ5067417

Francesco Veneziano, Umberto Zannier, Roberto Dvornicich

Publication date: 1 April 2022

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.13598

zbMATH Keywords

rational points on curvesplane latticestrigonometric Diophantine equations

Mathematics Subject Classification ID

Rational points (14G05) Lattices and convex bodies (number-theoretic aspects) (11H06) Exponential Diophantine equations (11D61) Euclidean geometries (general) and generalizations (51M05)

Cites Work

• Unnamed Item
• Sums of roots of unity vanishing modulo a prime
• On sums of roots of unity
• Rational products of sines of rational angles
• An introduction to the geometry of numbers.
• Trigonometric diophantine equations (On vanishing sums of roots of unity)
• Adventitious quadrangles: a geometrical approach
• The Number of Intersection Points Made by the Diagonals of a Regular Polygon
• On linear relations between roots of unity

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