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Connection between multiplication theorem for Bernoulli polynomials and first factor
h p −
-
Stanislav Jakubec
Published/Copyright:
April 28, 2017
Abstract
Based on the multiplication theorem for Bernoulli polynomials we define the matrix A. We prove that
±det(A) = 2m-2
MSC 2010: Primary 11R18; Secondary 11B68
Keywords: first factor class number
References
[1] Jakubec, S.: On some new estimates for h-(Q(ζp)), Acta Arith. 137 (2009), 43–50.10.4064/aa137-1-2Search in Google Scholar
[2] Nörlund, N. E.: Vorlesungen Uber Differenzenrechnung, Springer, Berlin, 1924.10.1007/978-3-642-50824-0Search in Google Scholar
[3] Washington, L. C.: Introduction to Cyclotomic Fields. Springer-Verlag, New York. 1997.10.1007/978-1-4612-1934-7Search in Google Scholar
Received: 2013-7-10
Accepted: 2015-10-12
Published Online: 2017-4-28
Published in Print: 2017-4-25
© 2017 Mathematical Institute Slovak Academy of Sciences
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Keywords for this article
first factor class number
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