Three consecutive almost squares

DOI10.1142/S1793042116500603zbMath1415.11083arXiv1502.00605OpenAlexW3102713239MaRDI QIDQ2805965

Yilin Yang, Jeremy Rouse

Publication date: 13 May 2016

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

Full work available at URL: https://arxiv.org/abs/1502.00605

zbMATH Keywords

elliptic curvesPell equationHeegner points

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Computer solution of Diophantine equations (11Y50)

Uses Software

• Magma

Cites Work

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• Elliptic Diophantine equations. A concrete approach via the elliptic logarithm
• Mean values of derivatives of modular \(L\)-series
• The product of consecutive integers is never a power
• Nonvanishing theorems for L-functions of modular forms and their derivatives
• The Arithmetic of Elliptic Curves
• Solving elliptic diophantine equations by estimating linear forms in elliptic logarithms
• Computing integral points on elliptic curves
• Number Theory

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