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Modular units inside cyclotomic units. (English) Zbl 0409.12007

MSC:
11R27 Units and factorization
11R11 Quadratic extensions
11R42 Zeta functions and \(L\)-functions of number fields
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References:
[1] KUBERT (D.) and LANG (S.) . - Units in the modular function field, I , Math. Annalen, t. 218, 1975 , p. 67-96. MR 55 #10424a | Zbl 0311.14005 · Zbl 0311.14005 · doi:10.1007/BF01350068 · eudml:162800
[2] KUBERT (D.) and LANG (S.) . - Units in the modular function field, II : A full set of units , Math. Annalen, t. 218, 1975 , p. 175-189. MR 55 #10424b | Zbl 0311.14005 · Zbl 0311.14005 · doi:10.1007/BF01350068 · eudml:162800
[3] LANG (D.) . - Cyclotomic fields . - Berlin, Springer-Verlag, 1978 . Zbl 0395.12005 · Zbl 0395.12005
[4] LANG (S.) . - Introduction to modular forms . - Berlin, Springer-Verlag, 1976 (Grundlehren der mathematischen Wissenschaften, 222). MR 55 #2751 | Zbl 0344.10011 · Zbl 0344.10011
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[6] LANG (S.) . - Elliptic functions . - Reading, Addison-Wesley, 1973 (Addison-Wesley Series in Mathematics). MR 53 #13117 | Zbl 0316.14001 · Zbl 0316.14001
[7] MEYER (C.) . - Die Berechnung der Klassenzahl Abelscher Körper über quadratischen Zahlkorpern . - Berlin, Akademie-Verlag, 1957 (Mathematische Lehrbücher und Monographien, 2). Zbl 0079.06001 · Zbl 0079.06001
[8] RAMACHANDRA (K.) . - Some applications of Kronecker’s limit formula , Annals of Math., Series 2, t. 80, 1964 , p. 104-148. MR 29 #2241 | Zbl 0142.29804 · Zbl 0142.29804 · doi:10.2307/1970494
[9] ROBERT (G.) . - Unités elliptiques , Bull. Soc. math. France, Mémoire n^\circ 36, 1973 , 77 p. Numdam | MR 57 #9669 | Zbl 0314.12006 · Zbl 0314.12006 · numdam:MSMF_1973__36__5_0 · eudml:94657
[10] SIEGEL (C. L.) . - Lectures on advanced analytic number . - Bombay, Tata Institute of fundamental Research, 1961 (Tata Institute, Lectures on Mathematics, 23. Zbl 0278.10001 · Zbl 0278.10001
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