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.
Mots clés : real quadratic fields, quadratic units, Pell equation
@article{JTNB_1995__7_1_121_0, author = {Peter Stevenhagen}, 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}, zbl = {0847.11010}, mrnumber = {1413571}, language = {en}, url = {https://jtnb.centre-mersenne.org/item/JTNB_1995__7_1_121_0/} }
TY - JOUR AU - Peter Stevenhagen TI - Frobenius distributions for real quadratic orders JO - Journal de théorie des nombres de Bordeaux PY - 1995 SP - 121 EP - 132 VL - 7 IS - 1 PB - Université Bordeaux I UR - https://jtnb.centre-mersenne.org/item/JTNB_1995__7_1_121_0/ LA - en ID - JTNB_1995__7_1_121_0 ER -
Peter Stevenhagen. Frobenius distributions for real quadratic orders. Journal de théorie des nombres de Bordeaux, Tome 7 (1995) no. 1, pp. 121-132. https://jtnb.centre-mersenne.org/item/JTNB_1995__7_1_121_0/
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