Bayad, Abdelmejid Applications to elliptic Apostol-Dedekind-Zagier sums. (Applications aux sommes elliptiques d’Apostol-Dedekind-Zagier.) (French. English summary) Zbl 1099.11025 C. R., Math., Acad. Sci. Paris 339, No. 8, 529-532 (2004). The known sums of Dedekind, Apostol, and Zagier and their reciprocity laws are obtained as limiting cases of results in the author’s earlier paper [A. Bayad, C. R. Acad. Sci. Paris, Sér. I, 339, No. 7, 457–462 (2004), see Zbl 1099.11023 below] Reviewer: Tom M. Apostol (Pasadena) Cited in 2 Documents MSC: 11F50 Jacobi forms 11F20 Dedekind eta function, Dedekind sums 11L03 Trigonometric and exponential sums (general theory) Keywords:generalized Dedekind sums; Dedekind-Zagier sums; multiple elliptic Apostol-Dedekind-Zagier sums; Jacobi modular forms Citations:Zbl 1099.11023 PDFBibTeX XMLCite \textit{A. Bayad}, C. R., Math., Acad. Sci. Paris 339, No. 8, 529--532 (2004; Zbl 1099.11025) Full Text: DOI References: [1] Apostol, T. M., Generalized Dedekind sums and transformation formulae of certain Lambert series, Duke Math. J., 17, 147-157 (1950) · Zbl 0039.03801 [2] Apostol, T. M., Theorems on generalized Dedekind sums, Pacific J. Math., 2, 1-9 (1952) · Zbl 0047.04502 [3] Bayad, A., Sommes elliptiques multiples d’Apostol-Dedekind-Zagier, C. R. Acad. Sci. Paris, Ser. I, 339 (2004) · Zbl 1099.11026 [4] Hirzebruch, F., Topological Methods in Algebraic Geometry (1966), Springer: Springer Berlin · Zbl 0138.42001 [5] Zagier, D., Higher order Dedekind sums, Math. Ann., 202, 149-172 (1973) · Zbl 0237.10025 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.