Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the 'Save PDF' action button.
In this paper, we study some aspects of the local fields generated by division values of formal Drinfeld modules.
Amice, Y., Les nombres p-adiques. (French) Préface de Ch. Pisot. Collection SUP: Le Mathématicien, No. 14 (Presses Universitaires de France, Paris, 1975), 190 pp.Google Scholar
2
Anglès, B., On explicit reciprocity laws for the local Carlitz-Kummer symbols, J. Number Theory78(2) (1999), 228–252.10.1006/jnth.1999.2403CrossRefGoogle Scholar
3
Bars, F. and Longhi, I., Coleman’s power series and Wiles’ reciprocity for rank 1 Drinfeld modules, J. Number Theory129(4)(2009), 789–805.CrossRefGoogle Scholar
4
Coleman, R. F., Division values in local fields, Invent. Math. 53 (1979), 91–116.CrossRefGoogle Scholar
5
Drinfeld, V. G., Elliptic modules, Mat. Sb. (N.S.)94(136) (1974), 594–627, 656.Google Scholar
6
Iwasawa, K., Local class field theory, Oxford Science Publications. Oxford Mathematical Monographs (The Clarendon Press, Oxford University Press, New York, 1986).Google Scholar
7
Lubin, J. and Tate, J., Formal complex multiplication in local fields, Ann. Math. 81(2) (1965), 380–387.CrossRefGoogle Scholar
8
Rosen, M., Formal Drinfeld modules, J. Number Theory103(2) (2003), 234–256.10.1016/S0022-314X(03)00111-2CrossRefGoogle Scholar
9
Washington, L. C., Introduction to cyclotomicfields, Graduate Texts in Mathematics, vol. 83, 2nd edition (Springer-Verlag, New York, 1997), xiv+487 pp. ISBN: 0-387-94762-0.Google Scholar
10
Wiles, A., Higher explicit reciprocity laws, Ann. Math. 107(2) (1978), 235–254.CrossRefGoogle Scholar