A note on basic Iwasawa λ-invariants of imaginary quadratic fields and congruence of modular forms
Dongho Byeon
Acta Arithmetica, Tome 89 (1999), p. 295-299 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)
Publié le : 1999-01-01
EUDML-ID : urn:eudml:doc:207272 
@article{bwmeta1.element.bwnjournal-article-aav89i3p295bwm,
     author = {Dongho Byeon},
     title = {A note on basic Iwasawa $\lambda$-invariants of imaginary quadratic fields and congruence of modular forms},
     journal = {Acta Arithmetica},
     volume = {89},
     year = {1999},
     pages = {295-299},
     zbl = {0938.11050},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav89i3p295bwm}
}

Dongho Byeon. A note on basic Iwasawa λ-invariants of imaginary quadratic fields and congruence of modular forms. Acta Arithmetica, Tome 89 (1999) pp. 295-299. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav89i3p295bwm/

[000] [1] H. Cohen, A Course in Computational Algebraic Number Theory, Grad. Texts in Math. 138, Springer, New York, 1995.

[001] [2] H. Davenport and H. Heilbronn, On the density of discriminants of cubic fields II, Proc. Roy. Soc. London Ser. A 322 (1971), 405-420. | Zbl 0212.08101

[002] [3] P. Hartung, Proof of the existence of infinitely many imaginary quadratic fields whose class number is not divisible by 3, J. Number Theory 6 (1974), 276-278. | Zbl 0317.12003

[003] [4] K. Horie, A note on basic Iwasawa λ-invariants of imaginary quadratic fields, Invent. Math. 88 (1987), 31-38.

[004] [5] K. Horie and Y. Onishi, The existence of certain infinite families of imaginary quadratic fields, J. Reine Angew. Math. 390 (1988), 97-113. | Zbl 0638.12001

[005] [6] K. Iwasawa, A note on class numbers of algebraic number fields, Abh. Math. Sem. Univ. Hamburg 20 (1956), 257-258. | Zbl 0074.03002

[006] [7] W. Kohnen and K. Ono, Indivisibility of class numbers of imaginary quadratic fields and orders of Tate-Shafarevich groups of elliptic curves with complex multiplication, Invent. Math. 135 (1999), 387-398. | Zbl 0931.11044

[007] [8] J. Nakagawa and K. Horie, Elliptic curves with no rational points, Proc. Amer. Math. Soc. 104 (1988), 20-24. | Zbl 0663.14023

[008] [9] K. Ono, Indivisibility of class numbers of real quadratic fields, Compositio Math., to appear. | Zbl 1002.11080

[009] [10] G. Shimura, On modular forms of half-integral weight, Ann. of Math. 97 (1973), 440-481. | Zbl 0266.10022

[010] [11] J. Sturm, On the congruence of modular forms, in: Lecture Notes in Math. 1240, Springer, 1984, 275-280.

[011] [12] H. Taya, Iwasawa invariants and class numbers of quadratic fields for the prime 3, Proc. Amer. Math. Soc., to appear. | Zbl 0958.11069