| Title:
|
On divisibility of the class number $h^+$ of the real cyclotomic fields $\Bbb Q(\zeta _p+\zeta _p^{-1})$ by primes $q < 10000$ (English) |
| Author:
|
Trojovský, Pavel |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
50 |
| Issue:
|
5 |
| Year:
|
2000 |
| Pages:
|
541-555 |
| . |
| Category:
|
math |
| . |
| MSC:
|
11R29 |
| idZBL:
|
Zbl 0984.11053 |
| idMR:
|
MR1813702 |
| . |
| Date available:
|
2009-09-25T11:47:48Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/132741 |
| . |
| Reference:
|
[1] DAVIS D.: Computing the number of totally positive circular units which are squares.J. Number Theory 10 (1978), 1-9. Zbl 0369.12002, MR 0476695 |
| Reference:
|
[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. Zbl 0703.11052, MR 1043240 |
| Reference:
|
[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 1227865 |
| Reference:
|
[4] JAKUBEC S.: On Divisibility of h+ by the prime 3.Rocky Mountain J. Math. 24 (1994), 1467-1473. MR 1322239 |
| Reference:
|
[5] JAKUBEC S.: On Divisibility of h+ by the prime 5.Math. Slovaca 44 (1994), 650-700. MR 1338435 |
| Reference:
|
[6] JAKUBEC S.: Connection between Wiefferich congruence and divisibility of h+.Acta Arith. 71 (1995), 55-64. MR 1338671 |
| Reference:
|
[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 1418226 |
| Reference:
|
[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 1443121 |
| Reference:
|
[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 1481542 |
| Reference:
|
[10] METSÄNKYLÄ T.: An application of the p-adic class number formula.Manuscripta Math. 93 (1997), 481-498. Zbl 0886.11061, MR 1465893 |
| Reference:
|
[11] VAN DER LINDEN F.: Class number computations of real abelian number fields.Math. Comp. 39 (1982), 693-707. Zbl 0505.12010, MR 0669662 |
| Reference:
|
[12] WAGSTAFF S. S.: The irregular primes to 125000.Math. Comp. 32 (1978), 583-592. Zbl 0377.10002, MR 0491465 |
| Reference:
|
[13] WASHINGTON L. C.: Introduction to Cyclotomic Fields.Grad Texts in Math., Springer-Verlag, New York-Heidelberg-Berlin, 1982. Zbl 0484.12001, MR 0718674 |
| . |
