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Cyclotomic invariants for primes to one million

Authors: R. Ernvall and T. Metsänkylä
Journal: Math. Comp. 59 (1992), 249-250
MSC: Primary 11Y40; Secondary 11R18, 11R29
MathSciNet review: 1134727
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Abstract: Our recent computation of cyclotomic invariants for primes between 125000 and 150000 was extended to one million. No new phenomena appear.

References [Enhancements On Off] (What's this?)

  • [1] J. P. Buhler, R. E. Crandall, and R. Sompolski, Irregular primes to one million, Math. Comp., (to appear). MR 1134717 (93a:11106)
  • [2] R. Ernvall and T. Metsänkylä, Cyclotomic invariants for primes between 125000 and 150000, Math. Comp. 56 (1991), 851-858. MR 1068819 (91h:11157)
  • [3] R. Sompolski, Thesis, Univ. of Illinois at Chicago, 1991.
  • [4] J. W. Tanner and S. S. Wagstaff, Jr., New congruences for the Bernoulli numbers, Math. Comp. 48 (1987), 341-350. MR 866120 (87m:11017)
  • [5] L. C. Washington, Introduction to cyclotomic fields, Springer-Verlag, Berlin and New York, 1982. MR 718674 (85g:11001)

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Keywords: Cyclotomic fields, Bernoulli numbers, irregular primes, Iwasawa invariants, class numbers, computation
Article copyright: © Copyright 1992 American Mathematical Society

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