Bounds for the size of integral solutions to Ym = f(X)
1999 ◽
Vol 42
(1)
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pp. 127-141
Keyword(s):
Let K be an algebraic number field with ring of integers OK and f(X) ∈ OK[X]. In this paper we establish improved explicit upper bounds for the size of solutions in OK, of diophantine equations Y2 = f(X), where f(X) has at least three roots of odd order, and Ym = f(X), where m is an integer ≥ 3 and f(X) has at least two roots of order prime to m.
1988 ◽
Vol 111
◽
pp. 165-171
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Keyword(s):
1969 ◽
Vol 20
(2)
◽
pp. 405-405
Keyword(s):
1996 ◽
Vol 119
(2)
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pp. 191-200
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1986 ◽
Vol 100
(2)
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pp. 237-248
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2018 ◽
Vol 17
(05)
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pp. 1850087
Keyword(s):
1964 ◽
Vol 40
(4)
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pp. 245-246
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Keyword(s):
2015 ◽
Vol 36
(5)
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pp. 1354-1378
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Keyword(s):
1971 ◽
Vol 14
(3)
◽
pp. 405-409
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Keyword(s):