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| On the Plus Parts of the Class Numbers of Cyclotomic Fields |
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Citation： |
Kalyan CHAKRABORTY,Azizul HOQUE.On the Plus Parts of the Class Numbers of Cyclotomic Fields[J].Chinese Annals of Mathematics B,2025,46(2):261~270 |
| Page view： 457
Net amount： 213 |
Authors： |
Kalyan CHAKRABORTY; Azizul HOQUE |
Foundation： |
the SERB MATRICS Grant (No. MTR/2021/00762) and the ANRF(SERB)
Govt. of India Grant (No. CRG/2023/007323). |
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| Abstract： |
The authors exhibit some new families of cyclotomic fields which have nontrivial plus parts of their class numbers. They also prove the 3-divisibility of the plus part of the class number of another family consisting of infinitely many cyclotomic fields. At the end, they provide some numerical examples supporting our results. |
Keywords： |
Class numbers Maximal real subfield of cyclotomic fields Real quadratic fields |
Classification： |
11R29, 11R18, 11R80 |
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