NOTE ON THE DIVISIBILITY OF THE CLASS NUMBER OF CERTAIN IMAGINARY QUADRATIC FIELDS
Glasgow mathematical journal, Tome 51 (2009) no. 1, pp. 187-191
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We prove that the class number of the imaginary quadratic field is divisible by n for any positive integers k and n with 22k < 3n, by using Y. Bugeaud and T. N. Shorey's result on Diophantine equations.
KISHI, YASUHIRO. NOTE ON THE DIVISIBILITY OF THE CLASS NUMBER OF CERTAIN IMAGINARY QUADRATIC FIELDS. Glasgow mathematical journal, Tome 51 (2009) no. 1, pp. 187-191. doi: 10.1017/S001708950800462X
@article{10_1017_S001708950800462X,
author = {KISHI, YASUHIRO},
title = {NOTE {ON} {THE} {DIVISIBILITY} {OF} {THE} {CLASS} {NUMBER} {OF} {CERTAIN} {IMAGINARY} {QUADRATIC} {FIELDS}},
journal = {Glasgow mathematical journal},
pages = {187--191},
year = {2009},
volume = {51},
number = {1},
doi = {10.1017/S001708950800462X},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S001708950800462X/}
}
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