An elliptic analogue of the multiple Dedekind sums
Compositio Mathematica, Volume 99 (1995) no. 1, p. 99-103
@article{CM_1995__99_1_99_0,
     author = {Egami, Shigeki},
     title = {An elliptic analogue of the multiple Dedekind sums},
     journal = {Compositio Mathematica},
     publisher = {Kluwer Academic Publishers},
     volume = {99},
     number = {1},
     year = {1995},
     pages = {99-103},
     zbl = {0838.11029},
     mrnumber = {1352569},
     language = {en},
     url = {http://www.numdam.org/item/CM_1995__99_1_99_0}
}
Egami, Shigeki. An elliptic analogue of the multiple Dedekind sums. Compositio Mathematica, Volume 99 (1995) no. 1, pp. 99-103. http://www.numdam.org/item/CM_1995__99_1_99_0/

[Ber] Berndt, B.C.: Reciprocity theorems of Dedekind sums and generalization, Advance in Math. 23 (1977), 285-316. | MR 429711 | Zbl 0342.10014

[Ca1] Carlitz, L.: A note on generalized Dedekind sums, Duke Math. J. 21 (1954), 399-403. | MR 62766 | Zbl 0057.03802

[Ca2] Carlitz, L.: Many term relations for multiple Dedekind sums. Indian J. Math. 20 (1978), 77-89. | MR 603918 | Zbl 0418.10013

[E-Z] Eichler, M. and Zagier, D.: The Theory of Jacobi Forms, Progress in Math. 55, Birkhäuser, 1985. | MR 781735 | Zbl 0554.10018

[HBJ] Hirzebruch, F., Berger, T. and Jung, R.: Manifolds and Modular forms, Aspects of Math. E. 20, Vieweg, 1992. | MR 1189136 | Zbl 0767.57014

[H-Z] Hirzebruch, F. and Zagier, D.: The Atiyah-Singer Theorem and Elementary Number Theory, Math. Lecture Series 3, Publish or Perish Inc., 1974. | MR 650832 | Zbl 0288.10001

[It1] Ito, H.: A function on the upper half space which is analogous to imaginary part of log η(z), J. reine angew. Math. 373 (1987), 148-165. | Zbl 0601.10021

[It2] Ito, H.: On a property of elliptic Dedekind sums, J. Number Th. 27 (1987), 17-21. | MR 904003 | Zbl 0624.10018

[Scz] Sczech, R.: Dedekindsummen mit elliptischen Functionen, Invent. Math. 76 (1984), 523-551. | MR 746541 | Zbl 0521.10021

[Za1] Zagier, D.: Higher order Dedekind sums, Math. Ann. 202 (1973), 149-172. | MR 357333 | Zbl 0237.10025

[Za2] Zagier, D.: Equivariant Pontrjagin Classes and Application to Orbit Spaces, Lecture Note in Math. 290, Springer, 1972. | MR 339202 | Zbl 0238.57013