SMALLEST IRREDUCIBLE OF THE FORM x2-dy2
2009 ◽
Vol 05
(03)
◽
pp. 449-456
Keyword(s):
It is a classical result that prime numbers of the form x2 + ny2 can be characterized via class field theory for an infinite set of n. In this paper, we derive the function field analogue of the classical result. Then, we apply an effective version of the Chebotarev density theorem to bound the degree of the smallest irreducible of the form x2 - dy2, where x, y, and d are elements of a polynomial ring over a finite field.
2006 ◽
Vol 02
(02)
◽
pp. 267-288
◽
Keyword(s):
2013 ◽
Vol 149
(8)
◽
pp. 1235-1244
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2008 ◽
Vol 144
(6)
◽
pp. 1351-1374
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Keyword(s):
1998 ◽
Vol 09
(08)
◽
pp. 1041-1066
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2018 ◽
Vol 14
(03)
◽
pp. 739-749
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Keyword(s):
2021 ◽
pp. 111-122
Keyword(s):
1995 ◽
Vol 38
(2)
◽
pp. 167-173
◽
Keyword(s):