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On Shintani’s ray class invariant for totally real number fields

✍ Scribed by Shuji Yamamoto


Book ID
105873632
Publisher
Springer
Year
2009
Tongue
English
Weight
384 KB
Volume
346
Category
Article
ISSN
0025-5831

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Let p be an odd regular prime number. We prove that there exist infinitely many totally real number fields k of degree p&1 whose class numbers are not divisible by p. Moreover, for certain regular prime number p, we prove that there exist infinitely many totally real number fields k of degree p&1 wh