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Continued fractions andS-units in function fields

✍ Scribed by V. V. Benyash-Krivets; V. P. Platonov

Book ID
111454726
Publisher
SP MAIK Nauka/Interperiodica
Year
2008
Tongue
English
Weight
213 KB
Volume
78
Category
Article
ISSN
1064-5624

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Let F be a real quadratic field and m an integral ideal of F. Two Stark units, Ξ΅ m,1 and Ξ΅ m,2 , are conjectured to exist corresponding to the two different embeddings of F into R. We define new ray class invariants U (1) m (C + ) and U (2) m (C + ) associated to each class C + of the narrow ray c

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For 06 61 given, we consider the modiÿed continued fraction expansion of the real number x deÿned by x = a0 + 0x0; a0 ∈ Z, and, x -1 n-1 = an + nx n; an ∈ N for n¿0, where -16 nx n‘ ; n = ±1, for n¿0, with xn¿0. The usual (Gaussian) case is = 1, whereas = 1 2 is the continued fraction to the nearest