Cohen, Henri Sums involving the values at negative integers of \(L\)-functions of quadratic characters. (English) Zbl 0311.10030 Math. Ann. 217, 271-285 (1975). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 13 ReviewsCited in 189 Documents MSC: 11F11 Holomorphic modular forms of integral weight 11R42 Zeta functions and \(L\)-functions of number fields × Cite Format Result Cite Review PDF Full Text: DOI EuDML Online Encyclopedia of Integer Sequences: Sum of divisors of 2*n + 1. a(n) = Sum_{d|n} min(d, n/d)^3. a(n) = Sum_{d|n} min(d, n/d)^5. 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) · 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 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.