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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

33E20Functions defined by series and integrals
11F11Holomorphic modular forms of integral weight
11R42Zeta functions and L-functions of global number fields
53C25Special Riemannian manifolds (Einstein, Sasakian, etc.)