Zagier, Don The dilogarithm function in geometry and number theory. (English) Zbl 0744.33011 Number theory and related topics, Pap. Ramanujan Colloq., Bombay/India 1988, Stud. Math., Tata Inst. Fundam. Res. 12, 231-243 (1989). [For the entire collection see Zbl 0743.00038.]This paper is a revised version of a lecture given in Bonn on the occasion of F. Hirzebruch’s 60th birthday and has also appeared under the title “The remarkable dilogarithm” in J. Math. Phys. Sci. 22, No. 1, 131-145 (1988; Zbl 0669.33001). Reviewer: D.Zagier Cited in 1 ReviewCited in 8 Documents MSC: 33E20 Other functions defined by series and integrals 11F11 Holomorphic modular forms of integral weight 11R42 Zeta functions and \(L\)-functions of number fields 53C25 Special Riemannian manifolds (Einstein, Sasakian, etc.) Keywords:dilogarithms Citations:Zbl 0743.00039; Zbl 0669.33001; Zbl 0743.00038 PDF BibTeX XML Cite \textit{D. Zagier}, in: Number theory and related topics. Papers presented at the Ramanujan birth centenary international colloquium, Bombay, India, 4-11 January, 1988. Oxford: Oxford University Press, published for the Tata Institute of Fundamental Research. 231--243 (1989; Zbl 0744.33011) Digital Library of Mathematical Functions: §25.12(i) Dilogarithms ‣ §25.12 Polylogarithms ‣ Related Functions ‣ Chapter 25 Zeta and Related Functions