# Kubert-lang units and elliptic curves without complex multiplication

Compositio Mathematica (1980)

- Volume: 41, Issue: 1, page 127-136
- ISSN: 0010-437X

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topHarris, Michael. "Kubert-lang units and elliptic curves without complex multiplication." Compositio Mathematica 41.1 (1980): 127-136. <http://eudml.org/doc/89448>.

@article{Harris1980,

author = {Harris, Michael},

journal = {Compositio Mathematica},

keywords = {Kubert-Lang units; elliptic curves without complex multiplication; units in the fields of modular functions; p-adic representation theory},

language = {eng},

number = {1},

pages = {127-136},

publisher = {Sijthoff et Noordhoff International Publishers},

title = {Kubert-lang units and elliptic curves without complex multiplication},

url = {http://eudml.org/doc/89448},

volume = {41},

year = {1980},

}

TY - JOUR

AU - Harris, Michael

TI - Kubert-lang units and elliptic curves without complex multiplication

JO - Compositio Mathematica

PY - 1980

PB - Sijthoff et Noordhoff International Publishers

VL - 41

IS - 1

SP - 127

EP - 136

LA - eng

KW - Kubert-Lang units; elliptic curves without complex multiplication; units in the fields of modular functions; p-adic representation theory

UR - http://eudml.org/doc/89448

ER -

## References

top- [1] M. Harris: P-adic Representations Arising from Descent on Abelian Varieties, Compositio Math., 39 (1979) 177-245. Zbl0417.14034MR546966
- [2] M. Harris, "Systematic Growth of Mordell-Weil Groups of Abelian Varieties in Towers of Number Fields," Inv. Math., 51 (1979) 123-141. Zbl0429.14013MR528019
- [3] N. Katz: The Eisenstein Measure and p-Adic Interpolation. Am. J. Math., 99 (1977) 238-311. Zbl0375.12022MR485797
- [4] N. Katz, "p-adic interpolation of real analytic Eisenstein series," Ann. of Math., 104, pp. 459-571 (1976). Zbl0354.14007MR506271
- [5] D. Kubert and S. Lang, "Units in the Modular Function Field," II. Math. Ann., 218, pp. 175-189 (1975); III. Math. Ann., 218, pp. 273-285 (1975); V. Math. Ann., 237, pp. 97-104. (1978). Zbl0371.12021
- [6] S. Lang, Elliptic Functions, Reading, Mass.: Addison-Wesley (1973). Zbl0316.14001MR409362
- [7] B. Mazur and P. Swinnerton-Dyer, "Arithmetic of Weil Curves," Inv. Math.25, pp. 1-61 (1974). Zbl0281.14016MR354674
- [8] K. Ramachandra, "Some Applications of Kronecker's Limit Formula," Ann. of Math., 80, pp. 104-108 (1964). Zbl0142.29804MR164950
- [9] G. Robert, "Unités Elliptiques," Memoire N° 36, Bull. Soc. Math. France (1973). Zbl0314.12006MR469889
- [10] J.-P. Serre, "Propriétés galoisiennes des points d'ordre fini des courbes elliptiques," Inv. Math.15, pp. 259-331 (1972). Zbl0235.14012MR387283
- [11] J-P. Serre, Abelian l-adic Representations and Elliptic Curves, New York: W. A. BENJAMIN, Inc. (1968). Zbl0186.25701MR263823

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