Arithmetic Progressions in the Solution Sets of Norm Form Equations
نویسندگان
چکیده
منابع مشابه
Parameterized norm form equations with arithmetic progressions
Buchmann and Pethő [5] observed that following algebraic integer 10 + 9α + 8α + 7α + 6α + 5α + 4α, with α = 3 is a unit. Since the coefficients form an arithmetic progressions they have found a solution to the Diophantine equation (1) NK/Q(x0 + αx1 + · · ·+ x6α) = ±1, such that (x0, . . . , x6) ∈ Z is an arithmetic progression. Recently Bérczes and Pethő [3] considered the Diophantine equation ...
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IF Introduction sn IWWW fremner I onsidered rithmeti progressions on ellipti urvesF fremner onstruted ellipti urves with rithmeti progressions of length UD iFeF rtionl points @X; Y A whose XE oordintes re in rithmeti progressionF sn following pper fremnerD ilvermn nd znkis P showed tht sugroup of the ellipti urve E@QA with E X Y 2 a X@X 2 n 2 A of rnk I doe...
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ژورنال
عنوان ژورنال: Rocky Mountain Journal of Mathematics
سال: 2010
ISSN: 0035-7596
DOI: 10.1216/rmj-2010-40-2-383