Reference updated by author André Voros: [41] M. Hirano, N. Kurokawa, M. Nakayama, Half Zeta functions, J. Ramanujan Math. Soc. v. 18 (2003) 195--209.

English translation by M. Harmer & M. Leroy (Auckland, NZ, 2004): https://www.math.auckland.ac.nz/deptdb/dept_reports/520.pdf

References updated by / mises à jour par / André Voros [3] ... F.W.J. Olver, Asymptotics and Special Functions, Acad. Press (1974) [réimpression : A.K. Peters (1997)]. [7] ... B. Helffer, D. Robert, C.R. Acad. Sci. Paris, Sér. I, v. 292 (1981) 47, & Ann. Sc. Norm. Super. Pisa Cl. Sci., IV. Ser., v. 9 (1982) 405. [8] A. Voros, prétirage Saclay DPh-T/81/48 (Saclay, 1981), Ann. Inst. Henri Poincaré A 39 (1983) 211. [13] D. Fotiadi, M. Froissart, J. Lascoux, F. Pham, Topology 4 (1965) 159 [reproduit dans : R.C. Hwa, V.L. Teplitz (eds.), Homology and Feynman Integrals, Benjamin (1966) 159].