Connection between Schinzel’s conjecture and divisibility of the class number h p +

Stanislav Jakubec

Acta Arithmetica (2000)

  • Volume: 94, Issue: 2, page 161-171
  • ISSN: 0065-1036

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Jakubec, Stanislav. "Connection between Schinzel’s conjecture and divisibility of the class number $h_{p}^{+}$." Acta Arithmetica 94.2 (2000): 161-171. <http://eudml.org/doc/207429>.

@article{Jakubec2000,
author = {Jakubec, Stanislav},
journal = {Acta Arithmetica},
keywords = {cyclotomic fields; class numbers; Bernoulli numbers; Schinzel's conjecture; Euler numbers; Bernoulli polynomials; Euler polynomials},
language = {eng},
number = {2},
pages = {161-171},
title = {Connection between Schinzel’s conjecture and divisibility of the class number $h_\{p\}^\{+\}$},
url = {http://eudml.org/doc/207429},
volume = {94},
year = {2000},
}

TY - JOUR
AU - Jakubec, Stanislav
TI - Connection between Schinzel’s conjecture and divisibility of the class number $h_{p}^{+}$
JO - Acta Arithmetica
PY - 2000
VL - 94
IS - 2
SP - 161
EP - 171
LA - eng
KW - cyclotomic fields; class numbers; Bernoulli numbers; Schinzel's conjecture; Euler numbers; Bernoulli polynomials; Euler polynomials
UR - http://eudml.org/doc/207429
ER -

References

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  1. [1] E. R. Hansen, A Table of Series and Products, Prentice-Hall, 1973. 
  2. [2] S. Jakubec, Divisibility of the class number h + of the real cyclotomic fields of prime degree l, Math. Comp. 67 (1998), 369-398. Zbl0914.11057
  3. [3] S. Jakubec, On divisibility of h + by the prime 3, Rocky Mountain J. Math. 24 (1994), 1467-1473. Zbl0821.11053
  4. [4] T. Lepistö, On the growth of the first factor of the class number of the prime cyclotomic field, Ann. Acad. Sci. Fenn. Ser. A I Math. 577 (1974). Zbl0294.12005
  5. [5] T. Metsänkylä, Class numbers and μ-invariants of cyclotomic fields, Proc. Amer. Math. Soc. 43 (1974), 299-300. Zbl0257.12004

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