Bounding the j-invariant of integral points on modular curves

2012/08/07 by Min Sha, Sha, Min
Mathematics · #FOS: Mathematics #Number Theory (math.NT) #math.NT

paper · pdf · doi:10.48550/arxiv.1208.1337

arxiv created 2013/04/09 · arxiv updated 2013/04/10

Abstract

In this paper, we give some effective bounds for the j-invariant of integral points on arbitrary modular curves over arbitrary number fields assuming that the number of cusps is not less than 3.

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