# On Ramanujan congruences between special values of Hecke and Dirichlet L-functions

Acta Arithmetica (1997)

- Volume: 81, Issue: 1, page 11-23
- ISSN: 0065-1036

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topP. Guerzhoy. "On Ramanujan congruences between special values of Hecke and Dirichlet L-functions." Acta Arithmetica 81.1 (1997): 11-23. <http://eudml.org/doc/207050>.

@article{P1997,

author = {P. Guerzhoy},

journal = {Acta Arithmetica},

keywords = {Ramanujan congruence; congruences between special values of -functions of modular forms; Fourier coefficients},

language = {eng},

number = {1},

pages = {11-23},

title = {On Ramanujan congruences between special values of Hecke and Dirichlet L-functions},

url = {http://eudml.org/doc/207050},

volume = {81},

year = {1997},

}

TY - JOUR

AU - P. Guerzhoy

TI - On Ramanujan congruences between special values of Hecke and Dirichlet L-functions

JO - Acta Arithmetica

PY - 1997

VL - 81

IS - 1

SP - 11

EP - 23

LA - eng

KW - Ramanujan congruence; congruences between special values of -functions of modular forms; Fourier coefficients

UR - http://eudml.org/doc/207050

ER -

## References

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- [8] W. Kohnen, A simple remark on eigenvalues of Hecke operators on Siegel modular forms, Abh. Math. Sem. Univ. Hamburg 57 (1987), 33-36. Zbl0641.10022
- [9] Yu. I. Manin, Periods of parabolic forms and p-adic Hecke series, Mat. Sb. 92 (1973), 378-401 (in Russian). Zbl0293.14007
- [10] K. A. Ribet, Congruence relations between modular forms, in: Proceedings of the International Congress of Mathematicians (Warsaw, 1983), PWN, Warszawa, 1984, 503-514. Zbl0575.10024
- [11] G. Shimura, The special values of the zeta-functions associated with cusp forms, Comm. Pure Appl. Math. 29 (1976), 783-804. Zbl0348.10015
- [12] H. P. F. Swinnerton-Dyer, On l-adic representations and congruences for coefficients of modular forms, in: Modular Functions of One Variable III, Lecture Notes in Math. 350, Springer, 1973, 1-55.
- [13] H. P. F. Swinnerton-Dyer, Congruence properties of τ(n), in: Ramanujan Revisited, Proceedings of the Centenary Conference, Academic Press, 1988, 289-311.

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