NOTE ON THE p-DIVISIBILITY OF CLASS NUMBERS OF AN INFINITE FAMILY OF IMAGINARY QUADRATIC FIELDS
Glasgow mathematical journal, Tome 64 (2022) no. 2, pp. 352-357
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For any odd prime p, we construct an infinite family of imaginary quadratic fields whose class numbers are divisible by p. We give a corollary that settles Iizuka’s conjecture for the case n=1 and p>2.
KRISHNAMOORTHY, SRIlAKSHMI; PASUPULATI, SUNIL KUMAR. NOTE ON THE p-DIVISIBILITY OF CLASS NUMBERS OF AN INFINITE FAMILY OF IMAGINARY QUADRATIC FIELDS. Glasgow mathematical journal, Tome 64 (2022) no. 2, pp. 352-357. doi: 10.1017/S001708952100015X
@article{10_1017_S001708952100015X,
author = {KRISHNAMOORTHY, SRIlAKSHMI and PASUPULATI, SUNIL KUMAR},
title = {NOTE {ON} {THE} {p-DIVISIBILITY} {OF} {CLASS} {NUMBERS} {OF} {AN} {INFINITE} {FAMILY} {OF} {IMAGINARY} {QUADRATIC} {FIELDS}},
journal = {Glasgow mathematical journal},
pages = {352--357},
year = {2022},
volume = {64},
number = {2},
doi = {10.1017/S001708952100015X},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S001708952100015X/}
}
TY - JOUR AU - KRISHNAMOORTHY, SRIlAKSHMI AU - PASUPULATI, SUNIL KUMAR TI - NOTE ON THE p-DIVISIBILITY OF CLASS NUMBERS OF AN INFINITE FAMILY OF IMAGINARY QUADRATIC FIELDS JO - Glasgow mathematical journal PY - 2022 SP - 352 EP - 357 VL - 64 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.1017/S001708952100015X/ DO - 10.1017/S001708952100015X ID - 10_1017_S001708952100015X ER -
%0 Journal Article %A KRISHNAMOORTHY, SRIlAKSHMI %A PASUPULATI, SUNIL KUMAR %T NOTE ON THE p-DIVISIBILITY OF CLASS NUMBERS OF AN INFINITE FAMILY OF IMAGINARY QUADRATIC FIELDS %J Glasgow mathematical journal %D 2022 %P 352-357 %V 64 %N 2 %U http://geodesic.mathdoc.fr/articles/10.1017/S001708952100015X/ %R 10.1017/S001708952100015X %F 10_1017_S001708952100015X
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