Table of the cyclotomic class numbers ℎ*(𝑝) and their factors for 200<𝑝<521

Author:

Lehmer D. H.,Masley J. M.

Abstract

This table gives the values of the "first factor" h ( p ) {h^\ast }(p) and their factorizations for all primes p , 200 > p > 521 p,200 > p > 521 . This extends similar data by M. Newman [Math. Comp., v. 24, 1970, pp. 215-219], and Schrutka [Berlin Akad. Abn., 1964]. The two methods used to compute these data are described.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Reference12 articles.

1. Maillet’s determinant;Carlitz, L.;Proc. Amer. Math. Soc.,1955

2. E. E. KUMMER, "Memoire sur la theorie des nombres complexes composes de racine de l’unite et de nombre entiers," J. Math. Pures Appl., v. 16, 1851, pp. 377-498, p. 473. Collected Works, v. 1, Springer-Verlag, Berlin and New York, 1975, p. 459.

3. On the growth of the first factor of the class number of the prime cyclotomic field;Lepistö, Timo;Ann. Acad. Sci. Fenn. Ser. A. I.,1974

4. Factorization of certain cyclotomic functions;Lehmer, D. H.;Ann. of Math. (2),1933

5. Prime factors of cyclotomic class numbers;Lehmer, D. H.;Math. Comp.,1977

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