On a functional equation satisfied by certain Dirichlet series

• Autorzy: E. Carletti , G. Monti Bragadin
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1995
• Tom: 71
• Numer: 3
• Strony: 265-272

Daty

wydano

1995

otrzymano

1994-08-05

Twórcy

autor

E. Carletti

• Dipartimento di Matematica, Università di Genova, via L. B. Alberti 4, 16132 Genova, Italy

autor

G. Monti Bragadin

• Dipartimento di Matematica, Università di Genova, via L. B. Alberti 4, 16132 Genova, Italy

Bibliografia

• [1] E. Carletti and G. Monti Bragadin, On Dirichlet series associated with polynomials, Proc. Amer. Math. Soc. 121 (1994), 33-37.
• [2] E. Carletti and G. Monti Bragadin, On Minakshisundaram-Pleijel zeta functions of spheres, Proc. Amer. Math. Soc. 122 (1994), 993-1001.
• [3] I. S. Gradshteyn and I. M. Ryzhik, Tables of Integrals, Series and Products, Academic Press, 1980.
• [4] S. Minakshisundaram, Zeta functions on the sphere, J. Indian Math. Soc. 13 (1949), 41-48.
• [5] S. Minakshisundaram and A. Pleijel, Some properties of the eigenfunctions of the Laplace operator on Riemannian manifolds, Canad. J. Math. 1 (1949), 242-256.
• [6] R. Stanley, Generating functions, in: Studies in Combinatorics, G. C. Rota (ed.), Stud. Math. 17, Math. Assoc. Amer., 1978, 100-141.