Geodesic
Frobenius distributions for real quadratic orders
Journal de théorie des nombres de Bordeaux, Tome 7 (1995) no. 1, pp. 121-132

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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.

Classification : Primary 11R11, 11R45, 11R65, Secondary 11D09
Keywords: real quadratic fields, quadratic units, Pell equation 
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     author = {Stevenhagen, Peter},
     title = {Frobenius distributions for real quadratic orders},
     journal = {Journal de th\'eorie des nombres de Bordeaux},
     pages = {121--132},
     publisher = {Universit\'e Bordeaux I},
     volume = {7},
     number = {1},
     year = {1995},
     mrnumber = {1413571},
     zbl = {0847.11010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JTNB_1995__7_1_121_0/}
}
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Stevenhagen, Peter. Frobenius distributions for real quadratic orders. Journal de théorie des nombres de Bordeaux, Tome 7 (1995) no. 1, pp. 121-132. http://geodesic.mathdoc.fr/item/JTNB_1995__7_1_121_0/