Table of the Cyclotomic Class Numbers h ∗ (p) and Their Factors for 200 < p < 521

1978 ◽  
Vol 32 (142) ◽  
pp. 577 ◽  
Author(s):  
D. H. Lehmer ◽  
J. M. Masley
Keyword(s):  
Class Numbers ◽  
Cyclotomic Class

scholarly journals Class numbers and self-conjugate 7-cores

2021 ◽  
Vol 180 ◽  
pp. 105427
Author(s):  
Ken Ono ◽  
Wissam Raji
Keyword(s):  
Class Numbers

scholarly journals A GENERALISED KUMMER'S CONJECTURE

2010 ◽  
Vol 52 (3) ◽  
pp. 453-472 ◽  
Author(s):  
M. J. R. MYERS
Keyword(s):  
Natural Number ◽  
Class Numbers ◽  
Cyclotomic Fields ◽  
Rate Of Growth ◽  
Relative Class ◽  
Almost All

AbstractKummer's conjecture predicts the rate of growth of the relative class numbers of cyclotomic fields of prime conductor. We extend Kummer's conjecture to cyclotomic fields of conductor n, where n is any natural number. We show that the Elliott–Halberstam conjecture implies that this generalised Kummer's conjecture is true for almost all n but is false for infinitely many n.

Conjugacy class numbers and π-subgroups

2021 ◽  
Vol 311 (1) ◽  
pp. 135-164
Author(s):  
Gunter Malle ◽  
Gabriel Navarro ◽  
Geoffrey R. Robinson
Keyword(s):  
Conjugacy Class ◽  
Class Numbers
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