Squares in arithmetic progression over cubic fields
نویسندگان
چکیده
منابع مشابه
Five Squares in Arithmetic Progression over Quadratic Fields
We give several criteria to show over which quadratic number fields Q( √ D) there should exists a non-constant arithmetic progressions of five squares. This is done by translating the problem to determining when some genus five curves CD defined over Q have rational points, and then using a Mordell-Weil sieve argument among others. Using a elliptic Chabauty-like method, we prove that the only n...
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ژورنال
عنوان ژورنال: International Journal of Number Theory
سال: 2016
ISSN: 1793-0421,1793-7310
DOI: 10.1142/s179304211650086x