Connection between Schinzel's conjecture and divisibility of the class number $h_{p}^{+}$

• Autorzy: Stanislav Jakubec
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 2000
• Tom: 94
• Numer: 2
• Strony: 161-171

Daty

wydano

2000

otrzymano

1999-07-27

poprawiono

1999-12-06

Twórcy

autor

Stanislav Jakubec

• Matematický ústav SAV, Štefánikova 49, 814 73 Bratislava, Slovakia

Bibliografia

• [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.
• [3] S. Jakubec, On divisibility of $h^+$ by the prime 3, Rocky Mountain J. Math. 24 (1994), 1467-1473.
• [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).
• [5] T. Metsänkylä, Class numbers and μ-invariants of cyclotomic fields, Proc. Amer. Math. Soc. 43 (1974), 299-300.