On class numbers of algebraic number fields
Copyright policy ) Manohar L. Madan;
On class numbers of algebraic number fields
AbstractLet M = Πi = 1t qiei, N = Πj = 1t qjfj be two natural numbers based on the same set of primes q1,…, qt, where the ei are positive.Theorem. There exist infinitely many normal extensions of the field of rational numbers of degree M with class number divisible by N. If M is not equal to 2, there also exist infinitely many nonnormal extensions with the same property.
- THE OHIO STATE UNIVERSITY United States
- The Ohio State University United States
number theory, Algebra and Number Theory
number theory, Algebra and Number Theory
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This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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