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By Friedman E, Ruijsenaars S

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W. Barnes, On the theory of the multiple gamma function, Trans. Cambridge Philos. Soc. 19 (1904) 374–425. A. Broughan, Vanishing of the integral of the Hurwitz zeta function, Bull. Austral. Math. Soc. 65 (2002) 121–127. [5] P. Cassou-Nogue`s, Valeurs aux entiers ne´gatifs des fonctions zeˆta et fonctions zeˆta p-adiques, Invent. Math. 51 (1979) 29–59. [6] K. Chen, M. Eie, A theorem on zeta functions associated with polynomials, Trans. Amer. Math. Soc. 351 (1999) 3217–3228. ARTICLE IN PRESS E. Friedman, S.

Soc. 31 (1899) 358–381. W. Barnes, On the theory of the multiple gamma function, Trans. Cambridge Philos. Soc. 19 (1904) 374–425. A. Broughan, Vanishing of the integral of the Hurwitz zeta function, Bull. Austral. Math. Soc. 65 (2002) 121–127. [5] P. Cassou-Nogue`s, Valeurs aux entiers ne´gatifs des fonctions zeˆta et fonctions zeˆta p-adiques, Invent. Math. 51 (1979) 29–59. [6] K. Chen, M. Eie, A theorem on zeta functions associated with polynomials, Trans. Amer. Math. Soc. 351 (1999) 3217–3228.

Phys. 38 (1997) 1069–1146. M. Ruijsenaars, On Barnes’ multiple zeta and gamma functions, Adv. in Math. 156 (2000) 107–132. M. Ruijsenaars, Special functions defined by analytic difference equations, in: J. Bustoz, M. Ismail, S. ), Proceedings of the Tempe NATO Advanced Study Institute ‘‘Special Functions 2000’’, NATO Science Series, Vol. 30, Kluwer, Dordrecht, 2001, pp. 281–333. [13] T. Shintani, On evaluation of zeta functions of totally real algebraic number fields at non-positive integers, J. Fac.

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