Perturbations of the Spence–Abel equation and deformations of the dilogarithm function

Author:

Hartnick Tobias,Ott Andreas

Funder

Israel Science Foundation

European Research Council

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference36 articles.

1. Abel, N.H.: Note sur la fonction $$\psi (x) = x+\frac{x^2}{2^2}+\frac{x^3}{3^2} + \dots +\frac{x^n}{n^2} + \dots $$ ψ ( x ) = x + x 2 2 2 + x 3 3 2 + ⋯ + x n n 2 + ⋯ , unpublished manuscript, 1826, published poshumously In: Sylow, L., Lie, S. (eds.) Oeuvres complètes de Niels Henrik Abel, Grøndahl & Søn, Christiania [Oslo], pp. 189–193 (1881)

2. Bloch, S.J.: Higher regulators, algebraic $$K$$ K -theory, and zeta functions of elliptic curves, CRM Monograph Series, vol. 11. American Mathematical Society, Providence (2000)

3. Bloch, S.J.: Applications of the dilogarithm function in algebraic K-theory and algebraic geometry. In: Proceedings of the International Symposium on Algebraic Geometry (Kyoto University, Kyoto, 1977), Kinokuniya Book Store, Tokyo, pp. 103–114 (1978)

4. Borel, A.: Commensurability classes and volumes of hyperbolic 3-manifolds. Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 8(1), 1–33 (1981)

5. Burger, M., Monod, N.: Bounded cohomology of lattices in higher rank Lie groups. J. Eur. Math. Soc. (JEMS) 1(2), 199–235 (1999)

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