On some cyclotomic congruences of F. Thaine
HTML articles powered by AMS MathViewer
- by Lawrence C. Washington PDF
- Proc. Amer. Math. Soc. 93 (1985), 10-14 Request permission
Abstract:
Some congruences involving cyclotomic integers, orginally obtained by F. Thaine, are proved and strengthened by using $p$-adic logarithms and $p$-adic $L$-functions.References
- F. Thaine, Polynomials generalizing binomial coefficients and their application to the study of Fermat’s last theorem, J. Number Theory 15 (1982), no. 3, 304–317. MR 680535, DOI 10.1016/0022-314X(82)90035-X
- Lawrence C. Washington, Introduction to cyclotomic fields, Graduate Texts in Mathematics, vol. 83, Springer-Verlag, New York, 1982. MR 718674, DOI 10.1007/978-1-4684-0133-2
- Lawrence C. Washington, Units of irregular cyclotomic fields, Illinois J. Math. 23 (1979), no. 4, 635–647. MR 540401
Additional Information
- © Copyright 1985 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 93 (1985), 10-14
- MSC: Primary 11D41; Secondary 11B68, 11R18
- DOI: https://doi.org/10.1090/S0002-9939-1985-0766517-7
- MathSciNet review: 766517