On arithmetic progressions on Edwards curves

DOI10.4064/aa167-2-2zbMath1322.11057arXiv1304.4361OpenAlexW3098940818MaRDI QIDQ5496942

Enrique González-Jiménez

Publication date: 29 January 2015

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.4361

zbMATH Keywords

arithmetic progressionEdward curveselliptic curved

Mathematics Subject Classification ID

Rational points (14G05) Elliptic curves over global fields (11G05) Counting solutions of Diophantine equations (11D45) [https://portal.mardi4nfdi.de/w/index.php?title=+Special%3ASearch&search=%22Curves+of+arbitrary+genus+or+genus+%28%0D%0Ae+1%29+over+global+fields%22&go=Go Curves of arbitrary genus or genus ( e 1) over global fields (11G30)] Arithmetic progressions (11B25)

Related Items (1)

Markoff-Rosenberger triples in geometric progression

Uses Software

• Magma

Cites Work

• Arithmetic progressions on congruent number elliptic curves
• Squares in arithmetic progressions
• Integral points in arithmetic progression on \(y^2= x(x^2-n^2)\)
• Two-cover descent on hyperelliptic curves
• Some special curves of genus 5
• On Consecutive Integer Solutions for y 2 - k = x 3
• Chabauty methods using elliptic curves
• On Arithmetic Progressions on Elliptic Curves
• On a conjecture of Rudin on squares in arithmetic progressions
• SIMULTANEOUS ARITHMETIC PROGRESSIONS ON ALGEBRAIC CURVES
• On Simultaneous Arithmetic Progressions on Elliptic Curves
• Searching for simultaneous arithmetic progressions on elliptic curves
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