SIMULTANEOUS ARITHMETIC PROGRESSIONS ON ALGEBRAIC CURVES

DOI10.1142/S1793042111004198zbMath1231.11120arXiv0910.0904OpenAlexW3099518792MaRDI QIDQ5198395

Frank de Zeeuw, Ryan Schwartz, József Solymosi

Publication date: 8 August 2011

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0910.0904

zbMATH Keywords

elliptic curvecrossing numberalgebraic curvesimultaneous arithmetic progression

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Lattice points in specified regions (11P21) Curves in algebraic geometry (14H99)

Related Items (4)

From art and circuit design to geometry and combinatorics ⋮ On arithmetic progressions in recurrences -- a new characterization of the Fibonacci sequence ⋮ Markoff-Rosenberger triples in geometric progression ⋮ On arithmetic progressions on Edwards curves

Cites Work

• Integral points in arithmetic progression on \(y^2= x(x^2-n^2)\)
• The number of integral points on arcs and ovals
• New lower bound techniques for VLSI
• Crossing-Free Subgraphs
• THE TOPOLOGY OF REAL PROJECTIVE ALGEBRAIC VARIETIES
• On Arithmetic Progressions on Elliptic Curves
• On Simultaneous Arithmetic Progressions on Elliptic Curves

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