Geodesic
On divisibility of the class number $h^+$ of the real cyclotomic fields $\Bbb Q(\zeta _p+\zeta _p^{-1})$ by primes $q 10000$
Mathematica slovaca, Tome 50 (2000) no. 5, pp. 541-555
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

Classification : 11R29 
@article{MASLO_2000_50_5_a4,
     author = {Trojovsk\'y, Pavel},
     title = {On divisibility of the class number $h^+$ of the real cyclotomic fields $\Bbb Q(\zeta _p+\zeta _p^{-1})$ by primes $q < 10000$},
     journal = {Mathematica slovaca},
     pages = {541--555},
     year = {2000},
     volume = {50},
     number = {5},
     mrnumber = {1813702},
     zbl = {0984.11053},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/MASLO_2000_50_5_a4/}
}
TY  - JOUR
AU  - Trojovský, Pavel
TI  - On divisibility of the class number $h^+$ of the real cyclotomic fields $\Bbb Q(\zeta _p+\zeta _p^{-1})$ by primes $q < 10000$
JO  - Mathematica slovaca
PY  - 2000
SP  - 541
EP  - 555
VL  - 50
IS  - 5
UR  - http://geodesic.mathdoc.fr/item/MASLO_2000_50_5_a4/
LA  - en
ID  - MASLO_2000_50_5_a4
ER  - 
%0 Journal Article
%A Trojovský, Pavel
%T On divisibility of the class number $h^+$ of the real cyclotomic fields $\Bbb Q(\zeta _p+\zeta _p^{-1})$ by primes $q < 10000$
%J Mathematica slovaca
%D 2000
%P 541-555
%V 50
%N 5
%U http://geodesic.mathdoc.fr/item/MASLO_2000_50_5_a4/
%G en
%F MASLO_2000_50_5_a4
Trojovský, Pavel. On divisibility of the class number $h^+$ of the real cyclotomic fields $\Bbb Q(\zeta _p+\zeta _p^{-1})$ by primes $q < 10000$. Mathematica slovaca, Tome 50 (2000) no. 5, pp. 541-555. http://geodesic.mathdoc.fr/item/MASLO_2000_50_5_a4/

[1] DAVIS D.: Computing the number of totally positive circular units which are squares. J. Number Theory 10 (1978), 1-9. | MR | Zbl

[2] ESTES D. R.: On the parity of the class number of the field of q-th roots of unity. Rocky Mountain J. Math. 19 (1989), 675-681. | MR | Zbl

[3] JAKUBEC S.: On divisibility of class number or real abelian fields of prime conductor. Abh. Math. Sem. Univ. Hamburg 63 (1993), 67-86. | MR

[4] JAKUBEC S.: On Divisibility of h+ by the prime 3. Rocky Mountain J. Math. 24 (1994), 1467-1473. | MR

[5] JAKUBEC S.: On Divisibility of h+ by the prime 5. Math. Slovaca 44 (1994), 650-700. | MR

[6] JAKUBEC S.: Connection between Wiefferich congruence and divisibility of h+. Acta Arith. 71 (1995), 55-64. | MR

[7] JAKUBEC S.: Connection between congruences nq-1 = 1 (mod q2) and divisibility of h+. Abh. Math. Sem. Univ. Hamburg 66 (1996), 151-158. | MR

[8] JAKUBEC S.: On divisibility of the class number h+ of the real cyclotomic fields of prime degree I. Math. Comp. 67 (1998), 396-398. | MR

[9] JAKUBEC S.-TROJOVSKY P.: On divisibility of the class number h+ of the real cyclotomic fields Q(C + Cp1) by primes q <= 5000. Abh. Math. Sem. Univ. Hamburg 67 (1997), 269-280. | MR

[10] METSÄNKYLÄ T.: An application of the p-adic class number formula. Manuscripta Math. 93 (1997), 481-498. | MR | Zbl

[11] VAN DER LINDEN F.: Class number computations of real abelian number fields. Math. Comp. 39 (1982), 693-707. | MR | Zbl

[12] WAGSTAFF S. S.: The irregular primes to 125000. Math. Comp. 32 (1978), 583-592. | MR | Zbl

[13] WASHINGTON L. C.: Introduction to Cyclotomic Fields. Grad Texts in Math., Springer-Verlag, New York-Heidelberg-Berlin, 1982. | MR | Zbl