J. Arias-de and R. , Asymptotics of Keiper-Li coefficients, Functiones et Approximatio Commentarii Mathematici, vol.45, issue.1, pp.7-21, 2011.
DOI : 10.7169/facm/1317045228

L. Báez-duarte, A sequential Riesz-like criterion for the Riemann hypothesis, International Journal of Mathematics and Mathematical Sciences, vol.2005, issue.21, pp.3527-3537, 2005.
DOI : 10.1155/IJMMS.2005.3527

R. Balian, G. Parisi, A. Voros, and Q. Oscillator, Quartic oscillator, Feynman Path Integrals (Proceedings, pp.337-360, 1978.
DOI : 10.1007/3-540-09532-2_85

P. Biane, J. Pitman, and M. Yor, Probability laws related to the Jacobi theta and Riemann zeta functions, and Brownian excursions, Bulletin of the American Mathematical Society, vol.38, issue.04, pp.435-465, 2001.
DOI : 10.1090/S0273-0979-01-00912-0

E. Bombieri and J. C. Lagarias, Complements to Li's Criterion for the Riemann Hypothesis, Journal of Number Theory, vol.77, issue.2, pp.274-287, 1999.
DOI : 10.1006/jnth.1999.2392

M. W. Coffey, Toward Verification of the Riemann Hypothesis: Application of the Li Criterion, Mathematical Physics, Analysis and Geometry, vol.173, issue.3, pp.211-255, 2005.
DOI : 10.1007/s11040-005-7584-9

M. W. Coffey, New results concerning power series expansions of the Riemann xi function and the Li/Keiper constants, Proc. R. Soc. Lond. A, pp.711-731, 2008.
DOI : 10.1098/rspa.2006.1692

H. L. Davenport and . Montgomery, Multiplicative Number Theory, Graduate Texts in Mathematics, vol.74, 2000.
DOI : 10.1007/978-1-4757-5927-3

R. B. Dingle, Asymptotic Expansions: their Derivation and Interpretation, 1973.

A. Erdélyi, ASYMPTOTIC EXPANSIONS, Bulletin of the London Mathematical Society, vol.6, issue.2, 1956.
DOI : 10.1112/blms/6.2.229

. Ph, L. Flajolet, and . Vepstas, On differences of zeta values, J. Comput. Appl. Math, vol.220, pp.58-73, 2008.

X. Gourdon, The 10 13 first zeros of the Riemann Zeta function, and zeros computation at very large height, preprint http://numbers.computation.free.fr/Constants/Miscellaneous/zetazeros1e13-1e24.pdf [13] I.S. Gradshteyn and I.M. Ryzhik, Table of Integrals, series and products, 1994.

F. Johansson, Rigorous high-precision computation of the Hurwitz zeta function and its derivatives, Numerical Algorithms, vol.47, issue.3, pp.253-270, 2015.
DOI : 10.1007/s11075-014-9893-1

J. B. Keiper, Power series expansions of Riemann???s $\xi$ function, Mathematics of Computation, vol.58, issue.198, pp.765-773, 1992.
DOI : 10.1090/S0025-5718-1992-1122072-5

J. C. Lagarias, Coefficients de Li de fonctions L automorphes, Annales de l???institut Fourier, vol.57, issue.5, pp.1689-1740, 2007.
DOI : 10.5802/aif.2311

X. Li, The Positivity of a Sequence of Numbers and the Riemann Hypothesis, Journal of Number Theory, vol.65, issue.2, pp.325-333, 1997.
DOI : 10.1006/jnth.1997.2137

K. Ma´slankama´slanka, Li's criterion for the Riemann hypothesis ? numerical approach, Opuscula Math, vol.24, pp.103-114, 2004.

K. Ma´slankama´slanka, Effective method of computing Li's coefficients and their properties, preprint, 2004.

K. Ma´slankama´slanka, Báez-Duarte's criterion for the Riemann Hypothesis and Rice's integrals, preprint, p.2, 2006.

J. Oesterlé, Régions sans zéros de la fonction zêta de Riemann, typescript, 2000.

S. K. Sekatskii, Generalized Bombieri?Lagarias' theorem and generalized Li's criterion with its arithmetic interpretation Asymptotic of the generalized Li's sums which non-negativity is equivalent to the Riemann Hypothesis, Ukr. Mat. Jh. Ukr. Math. J, vol.66, issue.66, pp.371-383, 2014.

A. Voros, Sharpenings of Li's Criterion for the Riemann Hypothesis, erratum: all asymptotic statements for ? n in the RH false case have wrong sign], pp.53-63, 2004.
DOI : 10.1007/s11040-005-9002-8

A. Voros, Zeta functions over zeros of zeta functions, Lecture Notes of the (2010) chap. 11 [erratum: same as for, Unione Matematica Italiana, vol.823

A. Voros, Zeta functions over zeros of Zeta functions and an exponentialasymptotic view of the Riemann Hypothesis, RIMS Kôkyûroku Bessatsu B52, pp.147-164, 2013.
URL : https://hal.archives-ouvertes.fr/cea-01076225

A. Voros, An asymptotic criterion in an explicit sequence, HAL archive, p.1166324, 2015.
URL : https://hal.archives-ouvertes.fr/cea-01166324