Real analytic Eisenstein series for the Jacobi group. Abh. Math. Sem. Univ. Hamburg, 60:131{148, 1990.Arakawa, T.: Real Analytic Eisenstein Series for the Jacobi Group. Abh. Math. Sem. Univ. Hamburg 60, 131-148 (1990)Arakawa, T.: Real analytic Eisenstein series for the Jacobi group....
SPECIAL VALUES OF DIRICHLET SERIES AND ZETA INTEGRALS For f and g polynomials in p variables, we relate the special value at a non-positive integer s = -N, obtained by analytic continuation of the Dirichlet se... EDUARDO,FRIEDMAN,ALDO,... - 《International Journal of Number Theory》 被引...
The latter reference proposes a conjectural analytic formula for their ℓ-adic logarithms refining Gross's ℓ-adic analogue of the Stark conjectures. Theorem 1 above holds unconditionally and concerns the p-adic logarithms of the same ℓ-units, for primes p≠ℓ. It therefore bears no ...
The aim of this paper is to obtain the Fourier coefficients of the real analytic Eisenstein series of weight k and index m with respect to the Jacobi group of degree one on the full modular group. Moreover, we study the localization of a pole, its residue and Kronecker's limit formula ...
The purpose of this paper is to consider the computation of the Fourier coefficients of real-analytic Eisenstein series associated to general cusps of Hecke congruence subgroups of arbitrary level. Explicit formulas for some coefficients in the Fourier expansion of the Eisenstein series of weight zero...
On Fourier–Jacobi expansions of real analytic Eisenstein series of degree 2ABHANDLUNGEN-MATHEMATISCHEN SEMINAR UNIVERSITAT HAMBURGMiyazakiT.
Hasegawa Y., Miyazaki T.: Twisted Mellin transforms of a real analytic residue of Siegel–Eisenstein series of degree 2. Int. J. Math. 20 (8), 1011–1027 (2009)Y. Hasegawa and T. Miyazaki, Twisted Mellin transforms of a real analytic residue of Siegel-Eisenstein series of degree 2 20...
Residues of Siegel-Eisenstein seriesWe study a residual form of a real analytic Siegel–Eisenstein series, which generates a certain derived functor module occurring in a degenerate principal series representation. We compute its Mellin transforms twisted by various Maass wave forms to get explicit ...
Yoshinori MizunoOxford University PressBulletin of the London Mathematical SocietyMizuno Y.: Koecher–Maass series for positive definite Fourier coefficients of real analytic Siegel–Eisenstein series of degree 2. Bull. Lond. Math. Soc. 41 , 1017–1028 (2009)...
The purpose of this paper is to consider the computation of the Fourier coefficients of real-analytic Eisenstein series associated to general cusps of Hecke congruence subgroups of arbitrary level. Explicit formulas for some coefficients in the Fourier expansion of the Eisenstein series of weight zero...