The palindromic index - A measure of ambiguous cycles of reduced ideals without any ambiguous ideals in real quadratic orders
Journal de théorie des nombres de Bordeaux, Tome 7 (1995) no. 2, pp. 447-460
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Herein we introduce the palindromic index as a device for studying ambiguous cycles of reduced ideals with no ambiguous ideal in the cycle.
Classification :
11R11, 11R29, 11R65
Keywords: quadratic order, class number, palindromic index, ambiguous cycle, continued fractions, reduced ideals
Keywords: quadratic order, class number, palindromic index, ambiguous cycle, continued fractions, reduced ideals
@article{JTNB_1995__7_2_447_0,
author = {Mollin, Richard A.},
title = {The palindromic index - {A} measure of ambiguous cycles of reduced ideals without any ambiguous ideals in real quadratic orders},
journal = {Journal de th\'eorie des nombres de Bordeaux},
pages = {447--460},
year = {1995},
publisher = {Universit\'e Bordeaux I},
volume = {7},
number = {2},
mrnumber = {1378590},
zbl = {0855.11054},
language = {en},
url = {http://geodesic.mathdoc.fr/item/JTNB_1995__7_2_447_0/}
}
TY - JOUR AU - Mollin, Richard A. TI - The palindromic index - A measure of ambiguous cycles of reduced ideals without any ambiguous ideals in real quadratic orders JO - Journal de théorie des nombres de Bordeaux PY - 1995 SP - 447 EP - 460 VL - 7 IS - 2 PB - Université Bordeaux I UR - http://geodesic.mathdoc.fr/item/JTNB_1995__7_2_447_0/ LA - en ID - JTNB_1995__7_2_447_0 ER -
%0 Journal Article %A Mollin, Richard A. %T The palindromic index - A measure of ambiguous cycles of reduced ideals without any ambiguous ideals in real quadratic orders %J Journal de théorie des nombres de Bordeaux %D 1995 %P 447-460 %V 7 %N 2 %I Université Bordeaux I %U http://geodesic.mathdoc.fr/item/JTNB_1995__7_2_447_0/ %G en %F JTNB_1995__7_2_447_0
Mollin, Richard A. The palindromic index - A measure of ambiguous cycles of reduced ideals without any ambiguous ideals in real quadratic orders. Journal de théorie des nombres de Bordeaux, Tome 7 (1995) no. 2, pp. 447-460. http://geodesic.mathdoc.fr/item/JTNB_1995__7_2_447_0/