Diophantinem-tuples with elements in arithmetic progressions
نویسندگان
چکیده
منابع مشابه
Diophantine m-tuples with elements in arithmetic progressions
In this paper, we consider the problem of existence of Diophantine m-tuples which are (not necessarily consecutive) elements of an arithmetic progression. We show that for n ≥ 3 there does not exist a Diophantine quintuple {a, b, c, d, e} such that a ≡ b ≡ c ≡ d ≡ e (mod n). On the other hand, for any positive integer n there exist infinitely many Diophantine triples {a, b, c} such that a ≡ b ≡...
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ژورنال
عنوان ژورنال: Indagationes Mathematicae
سال: 2014
ISSN: 0019-3577
DOI: 10.1016/j.indag.2013.08.006