Three notes on Ser's and Hasse's representations for the zeta-functions, 2016. ,
L'Hospital's Rule for Complex-Valued Functions, The American Mathematical Monthly, vol.65, issue.4, pp.264-266, 1958. ,
DOI : 10.2307/2310244
Resurgence of the fractional polylogarithms, Mathematical Research Letters, vol.16, issue.5, pp.817-826, 2009. ,
DOI : 10.4310/MRL.2009.v16.n5.a5
On the zeros of the Riemann Zeta function, 2011. ,
URL : https://hal.archives-ouvertes.fr/hal-00476252
On the Hurwitz Zeta Function, 2011. ,
URL : https://hal.archives-ouvertes.fr/hal-00602532
Mellin transforms and asymptotics: Finite differences and Rice's integrals, Theoretical Computer Science, vol.144, issue.1-2, pp.101-124, 1995. ,
DOI : 10.1016/0304-3975(94)00281-M
URL : http://doi.org/10.1016/0304-3975(94)00281-m
Singularity Analysis of Generating Functions, SIAM Journal on Discrete Mathematics, vol.3, issue.2, pp.216-240, 1990. ,
DOI : 10.1137/0403019
URL : https://hal.archives-ouvertes.fr/inria-00075725
Boundary Value Problems, 1966. ,
On the zeros of power series with rational coefficients III, Archiv der Mathematik, vol.29, issue.1, pp.368-376, 1979. ,
DOI : 10.1007/BF01238513
Ein Summierungsverfahren für die Riemannsche Reihe, Mathematische Zeitschrift, vol.32, pp.456-465, 1930. ,
DOI : 10.1007/bf01194645
Note sur la série ? n=1 x n n s, Bull. Soc. Math. France, vol.17, pp.142-152, 1889. ,
Cours d'analyse de l'´ ecole polytechnique, 1894. ,
On the taylor expansion of the Lerch zeta-function, Journal of Mathematical Analysis and Applications, vol.170, issue.2, p.513523, 1992. ,
DOI : 10.1016/0022-247X(92)90034-B
Le calcul des résidus et ses applicationsàapplicationsà la théorie des fonctions, 1905. ,
Introduction to the Theory of Complex Functions, 2002. ,
DOI : 10.1142/5006
Asymptotics and Special Functions, A K Peters Ltd, 1997. ,
Sur une expression de la fonction ?(s) de Riemann, C.R. Academie des Sciences, vol.182, pp.1075-1077, 1926. ,
Analytic Continuation of Riemann's Zeta Function and Values at Negative Integers Via Euler's Transformation of Series, Proc. Amer, pp.421-424, 1994. ,
DOI : 10.2307/2159877
An efficient algorithm for accelerating the convergence of oscillatory series, useful for computing the polylogarithm and Hurwitz zeta functions, Numerical Algorithms, vol.10, issue.1, pp.211-252, 2008. ,
DOI : 10.1007/s11075-007-9153-8