# On a functional equation satisfied by certain Dirichlet series

E. Carletti; G. Monti Bragadin

Acta Arithmetica (1995)

- Volume: 71, Issue: 3, page 265-272
- ISSN: 0065-1036

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topE. Carletti, and G. Monti Bragadin. "On a functional equation satisfied by certain Dirichlet series." Acta Arithmetica 71.3 (1995): 265-272. <http://eudml.org/doc/206774>.

@article{E1995,

author = {E. Carletti, G. Monti Bragadin},

journal = {Acta Arithmetica},

keywords = {functional equation; Minakshisundaram-Pleijel spectral zeta-function; sphere; projective space},

language = {eng},

number = {3},

pages = {265-272},

title = {On a functional equation satisfied by certain Dirichlet series},

url = {http://eudml.org/doc/206774},

volume = {71},

year = {1995},

}

TY - JOUR

AU - E. Carletti

AU - G. Monti Bragadin

TI - On a functional equation satisfied by certain Dirichlet series

JO - Acta Arithmetica

PY - 1995

VL - 71

IS - 3

SP - 265

EP - 272

LA - eng

KW - functional equation; Minakshisundaram-Pleijel spectral zeta-function; sphere; projective space

UR - http://eudml.org/doc/206774

ER -

## References

top- [1] E. Carletti and G. Monti Bragadin, On Dirichlet series associated with polynomials, Proc. Amer. Math. Soc. 121 (1994), 33-37. Zbl0804.11051
- [2] E. Carletti and G. Monti Bragadin, On Minakshisundaram-Pleijel zeta functions of spheres, Proc. Amer. Math. Soc. 122 (1994), 993-1001. Zbl0838.11057
- [3] I. S. Gradshteyn and I. M. Ryzhik, Tables of Integrals, Series and Products, Academic Press, 1980. Zbl0521.33001
- [4] S. Minakshisundaram, Zeta functions on the sphere, J. Indian Math. Soc. 13 (1949), 41-48. Zbl0033.11605
- [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. Zbl0041.42701
- [6] R. Stanley, Generating functions, in: Studies in Combinatorics, G. C. Rota (ed.), Stud. Math. 17, Math. Assoc. Amer., 1978, 100-141.

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