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Bibliography
H. Bauer, Numerische Bestimmung der Klassenzahlen reeler zyklischer Zahlkörper, J. of Number Theory 1(1969) 161–162.
H. Cohn, An explicit modular equation in two variables and Hilbert's twelfth problem, Math. of Comput. 38(1982) 227–236.
H. Cohn, Some examples of Weber-Hecke ring class field theory, Math. Ann. 265(1983) 83–100.
H. Cohn, Representation of a prime as a sum of squares in a tower of fields, J. Reine Angew. Math. 361 (to appear).
H. Cohn and J. Deutsch, Use of a computer scan to prove that Q(√2+√2) and Q(√3+√3) are euclidean, Math. of Comput. 46 (to appear).
R. Fricke, Lehrbuch der Algebra III (Algebraische Zahlen), Braunschweig, Vieweg, 1928.
K.-B. Gundlach, Zusammenhänge zwischen Modulformen in einer und in zwei Variablen, Nachr. Akad. Wiss. Göttingen, II, Math.-Phys. Kl. (1965) 47–88.
K.-B. Gundlach, Die Bestimmung der Funktionen zu einigen Hilbertschen Modulgruppen, J. Reine Angew. Math. 220(1965) 109–153.
K.-B. Gundlach, On the representation of a number as a sum of squares, Glasgow Math. J. 19(1978) 173–197.
F. Hirzebruch, The ring of Hilbert modular forms of small discriminant, Modular functions of one variable VI. Springer Lecture Notes in Mathematics, Vol. 627, pp 287–323, 1977.
C. Meyer, Die Berechnung der Klassenzahl abelscher Korper uber quadratischen Zahlkorpern, Berlin, Akad. Verlag, 1957.
R. Muller, Hilbertsche Modulformen und Modulfunktionen zu Q(√8), Math. Ann. 266(1983) 83–103.
S. Nagaoka, On Hilbert modular forms III, Proc. Japan Acad. 59(1983) 346–348.
C. Pohl, G. Rosenberger, and A. Schoofs, Arithmetische Eigenschaften von Eisenstein-Reihen zu den Hecke-Gruppen G(√2) und G(√3), Abh. Math. Sem. Univ. Hamburg 54(1984), 49–68.
C.L. Siegel, Lectures on advanced analytic number theory, Bombay, Tata Institute, 1961.
H. Weber, Elliptische Funktionen und algebraische Zahlen, Braunschweig, Vieweg, 1891.
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Cohn, H. (1987). Successive diagonal projections of Hilbert modular functions. In: Chudnovsky, D.V., Chudnovsky, G.V., Cohn, H., Nathanson, M.B. (eds) Number Theory. Lecture Notes in Mathematics, vol 1240. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0072973
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DOI: https://doi.org/10.1007/BFb0072973
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