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Sums involving the values at negative integers of \(L\)-functions of quadratic characters. (English) Zbl 0311.10030

MSC:
11F11 Holomorphic modular forms of integral weight
11R42 Zeta functions and \(L\)-functions of number fields
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References:
[1] Cohen, H.: Sommes de carrés, fonctionsL et formes modulaires. C. R. Acad. Sci. Paris,277, 827-830 (1973) · Zbl 0267.10066
[2] Cohen, H.: Variations sur un thème de Siegel et Hecke. To appear in Acta Arithmetica, vol. 30, no 1 · Zbl 0291.10021
[3] Eichler, M.: On the class number of imaginary quadratic fields and the sums of divisors of natural numbers. Journ. Indian Math. Soc.19, (1955) · Zbl 0068.03302
[4] Hirzebruch, F.: Kurven auf den Hilbertschen Modulflächen und Klassenzahlrelationen. Lecture Notes no 412. Berlin, Heidelberg, New York: Springer pp. 75-93
[5] Hirzebruch, F., Zagier, D.: Intersection numbers of curves on Hilbert modular surfaces and modular forms of Nebentypus. (in preparation) · Zbl 0332.14009
[6] Li, W. W.: Newforms and functional equations. Math. Ann.212, 285-315 (1975) · Zbl 0286.10016 · doi:10.1007/BF01344466
[7] Shimura, G.: Modular forms of half integral weight. Lecture Notes no 320. Berlin, Heidelberg, New York: Springer pp. 57-74
[8] Shimura, G.: Modular forms of half integral weight. Ann. of Math.97, 440-481 (1973) · Zbl 0266.10022 · doi:10.2307/1970831
[9] Zagier, D.: Nombres de classes et formes modulaires de poids 3/2. (in preparation) · Zbl 0323.10021
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