The Stickelberger element of an imaginary quadratic field

• Autorzy: Peter Schmid
• Języki publikacji: EN

Kategorie tematyczne

• 11R11: Quadratic extensions
• 11R29: Class numbers, class groups, discriminants

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1999
• Tom: 91
• Numer: 2
• Strony: 165-169

Daty

wydano

1999

otrzymano

1998-11-16

poprawiono

1999-03-25

Twórcy

autor

Peter Schmid

• Mathematisches Institut, Universität Tübingen, Auf der Morgenstelle 10, D-72076 Tübingen, Germany

Bibliografia

• [1] D. A. Buell, Class groups of quadratic fields, Math. Comp. 30 (1976), 610-623.
• [2] H. Cohen and H. W. Lenstra, Heuristics on class groups of number fields, in: Number Theory (Noordwijkerhout, 1983), Lecture Notes in Math. 1068, Springer, 1984, 33-62.
• [3] R. Kučera, On the Stickelberger ideal and circular units of a compositum of quadratic fields, J. Number Theory 56 (1996), 139-166.
• [4] H. L. S. Orde, On Dirichlet's class number formula, J. London Math. Soc. (2) 18 (1978), 409-420.
• [5] W. Sinnott, On the Stickelberger ideal and the circular units of an abelian field, Invent. Math. 62 (1980), 181-234.
• [6] L. C. Washington, Introduction to Cyclotomic Fields, 2nd ed., Springer, Heidelberg, 1997.