]. A. Andrianov-]-a, V. L. Andrianov, and . Kalinin, Quadratic forms and Hecke operators On the analytic properties of standard zeta functions of Siegel modular forms, of Grundlehren der Mathematischen Wissenschaften Math USSR. Sbornik, pp.35-36, 1979.

Y. Amice and J. Vélu, Distributions p-adiques associées aux Séries de Hecke, Astérisque, pp.119-131, 1974.

]. S. Böcherer and C. Schmidt, $p$-adic measures attached to Siegel modular forms, Annales de l?institut Fourier, vol.50, issue.5, pp.1375-1443, 2000.
DOI : 10.5802/aif.1796

]. A. Dabrowski and D. Delbourgo, -Functions Attached to the Symmetric Square of a Newform, Proceedings of the London Mathematical Society, vol.74, issue.3, pp.559-611, 1991.
DOI : 10.1112/S0024611597000191
URL : https://hal.archives-ouvertes.fr/hal-01405570

P. Feit, Poles and residues of Eisenstein series for symplectic and unitary groups, Memoir AMS, 1986.

]. E. Freitag and S. Modulfulfunktionnen, 341 p. [14] H. K. Ha, p-adic interpolation and Mellin-Mazur transform, Acta Math. Vietnam, vol.5, issue.1, pp.77-99, 1980.

T. Ibukiyama, On Differential operators on Automorphic forms and Invariant pluriharmonic polynomial, 1999.

]. T. Ibukiyama, T. Kuzumaki, and H. Ochiai, Holonomic systems of Gegenbauer type polynomials of matrix arguments related with Siegel modular forms, Journal of the Mathematical Society of Japan, vol.64, issue.1, pp.273-316, 2012.
DOI : 10.2969/jmsj/06410273

]. H. Kawamura, A note on the Fourier coefficients of Siegel Eisenstein series of higher degree

]. S. Lang, Introduction to Modular Forms, 1976.
DOI : 10.1007/978-3-642-51447-0

]. H. Maass, Siegel's modular forms and Dirichlet series, Lecture Notes in Math, vol.216, issue.166, 1971.

]. I. Miyawaki, Numerical examples of eigencusp forms of degree 3 and their zetafunctions, MR 1195472. [22] V. Q. My, Non-Archimedean Rankin Convolution of Unbounded growth, pp.307-339, 1992.

]. B. Mazur, J. Tate, and J. Teitelbaum, Onp-adic analogues of the conjectures of Birch and Swinnerton-Dyer, Inventiones Mathematicae, vol.168, issue.1, pp.1-48, 1986.
DOI : 10.1007/BF02684651

]. G. Shimura, On Eisenstein series, Duke Math, J, pp.50-417, 1983.
DOI : 10.1007/978-1-4612-2060-2_15

]. G. Shimura, Confluent hypergeometric functions on tube domains, Math. Ann, pp.2600-269, 1982.
DOI : 10.1007/978-1-4612-2060-2_13

I. Piatetski-shapiro and S. Rallis, A new way to get Euler products, J. reine angew. Math, vol.392, pp.110-124, 1988.

J. Sturm, Special Values of Zeta Functions, and Eisenstein Series of Half Integral Weight, American Journal of Mathematics, vol.102, issue.2, pp.219-240, 1982.
DOI : 10.2307/2374237

J. Sturm, The critical values values of Zeta functions associated to the Symplectic group, Duke Math, J, vol.48, pp.327-350, 1981.