Frobenius distributions for real quadratic orders

Peter Stevenhagen

Journal de théorie des nombres de Bordeaux (1995)

  • Volume: 7, Issue: 1, page 121-132
  • ISSN: 1246-7405

Abstract

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We present a density result for the norm of the fundamental unit in a real quadratic order that follows from an equidistribution assumption for the infinite Frobenius elements in the class groups of these orders.

How to cite

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Stevenhagen, Peter. "Frobenius distributions for real quadratic orders." Journal de théorie des nombres de Bordeaux 7.1 (1995): 121-132. <http://eudml.org/doc/247663>.

@article{Stevenhagen1995,
abstract = {We present a density result for the norm of the fundamental unit in a real quadratic order that follows from an equidistribution assumption for the infinite Frobenius elements in the class groups of these orders.},
author = {Stevenhagen, Peter},
journal = {Journal de théorie des nombres de Bordeaux},
keywords = {real quadratic fields; quadratic units; Pell equation; solutions of the Pell equation; integers which are sums of two relatively prime squares; abelian extensions of higher degree},
language = {eng},
number = {1},
pages = {121-132},
publisher = {Université Bordeaux I},
title = {Frobenius distributions for real quadratic orders},
url = {http://eudml.org/doc/247663},
volume = {7},
year = {1995},
}

TY - JOUR
AU - Stevenhagen, Peter
TI - Frobenius distributions for real quadratic orders
JO - Journal de théorie des nombres de Bordeaux
PY - 1995
PB - Université Bordeaux I
VL - 7
IS - 1
SP - 121
EP - 132
AB - We present a density result for the norm of the fundamental unit in a real quadratic order that follows from an equidistribution assumption for the infinite Frobenius elements in the class groups of these orders.
LA - eng
KW - real quadratic fields; quadratic units; Pell equation; solutions of the Pell equation; integers which are sums of two relatively prime squares; abelian extensions of higher degree
UR - http://eudml.org/doc/247663
ER -

References

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  10. [10] P. Stevenhagen, On the 2-power divisibility of certain quadratic class numbers, J. of Number Theory43 (1993), no. (1), 1-19. Zbl0767.11054MR1200803
  11. [11] P. Stevenhagen, The number of real quadratic fields having units of negative norm, Exp. Math.2 (1993), no. (2), 121-136. Zbl0792.11041MR1259426
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