# Connection between Schinzel’s conjecture and divisibility of the class number ${h}_{p}^{+}$

Acta Arithmetica (2000)

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

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top## How to cite

topJakubec, 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

top- [1] E. R. Hansen, A Table of Series and Products, Prentice-Hall, 1973.
- [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] S. Jakubec, On divisibility of ${h}^{+}$ by the prime 3, Rocky Mountain J. Math. 24 (1994), 1467-1473. Zbl0821.11053
- [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] T. Metsänkylä, Class numbers and μ-invariants of cyclotomic fields, Proc. Amer. Math. Soc. 43 (1974), 299-300. Zbl0257.12004

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