Class number calculation of a quartic field from the elliptic unit
Ken Nakamula (1985)
Acta Arithmetica
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Displaying similar documents to “On elliptic units and class number of a certain dihedral extension of degree 2l”
Class number calculation of a quartic field from the elliptic unit
On index formulas of Siegel units in a ring class field
Heima Hayashi (1986)
Acta Arithmetica
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Class number calculation of a sextic field from the elliptic unit
Ken Nakamula (1985)
Acta Arithmetica
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Stark's conjecture in multi-quadratic extensions, revisited
David S. Dummit, Jonathan W. Sands, Brett Tangedal (2003)
Journal de théorie des nombres de Bordeaux
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Stark’s conjectures connect special units in number fields with special values of -functions attached to these fields. We consider the fundamental equality of Stark’s refined conjecture for the case of an abelian Galois group, and prove it when this group has exponent . For biquadratic extensions and most others, we prove more, establishing the conjecture in full.
Initial layers of -extensions of complex quadratic fields
J. E. Carroll, H. Kisilevsky (1976)
Compositio Mathematica
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A lower bound for
Marina Mureddu (1986-1987)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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On Taylor's conjecture for Kummer orders
Philippe Cassou-Noguès, Anupam Srivastav (1990)
Journal de théorie des nombres de Bordeaux
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Artin's primitive root conjecture for quadratic fields
Hans Roskam (2002)
Journal de théorie des nombres de Bordeaux
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Fix an element in a quadratic field . Define as the set of rational primes , for which has maximal order modulo . Under the assumption of the generalized Riemann hypothesis, we show that has a density. Moreover, we give necessary and sufficient conditions for the density of to be positive.
The construction of unramified abelian cubic extensions of a quadratic field
Theresa Vaughan (1984)
Acta Arithmetica
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