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Explicit computation of Gross–Stark units over real quadratic fields

✍ Scribed by Brett A. Tangedal; Paul T. Young

Book ID
119304728
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
302 KB
Volume
133
Category
Article
ISSN
0022-314X

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Let F be a real quadratic field and m an integral ideal of F. Two Stark units, ε m,1 and ε 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