Sur les sommes de Dedekind attachées aux groupes de congruence

Y. Driencourt

Bulletin de la Société Mathématique de France (1983)

  • Volume: 111, page 373-419
  • ISSN: 0037-9484

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Driencourt, Y.. "Sur les sommes de Dedekind attachées aux groupes de congruence." Bulletin de la Société Mathématique de France 111 (1983): 373-419. <http://eudml.org/doc/87448>.

@article{Driencourt1983,
author = {Driencourt, Y.},
journal = {Bulletin de la Société Mathématique de France},
keywords = {generalized Dedekind eta-function; transformation formula; congruence subgroup; Dedekind sums},
language = {fre},
pages = {373-419},
publisher = {Société mathématique de France},
title = {Sur les sommes de Dedekind attachées aux groupes de congruence},
url = {http://eudml.org/doc/87448},
volume = {111},
year = {1983},
}

TY - JOUR
AU - Driencourt, Y.
TI - Sur les sommes de Dedekind attachées aux groupes de congruence
JO - Bulletin de la Société Mathématique de France
PY - 1983
PB - Société mathématique de France
VL - 111
SP - 373
EP - 419
LA - fre
KW - generalized Dedekind eta-function; transformation formula; congruence subgroup; Dedekind sums
UR - http://eudml.org/doc/87448
ER -

References

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  1. [1] DEDEKIND (R.). — Erlanterungen zu zwei fragmenten von Riemann, Gessammelte Math. Werke, vol. I, p. 159-173. 
  2. [2] RADEMACHER (H.) et WHITEMAN (A.). — Theorems on Dedekind sums, Amer. J. of Math., vol. 63, 1941, p. 377-407. Zbl0025.02802MR2,249fJFM67.0291.01
  3. [3] ASAI (T.). — The reciprocity of Dedekind sums and the factor set for the universal covering group of SL (2, ℝ), Nagoya Math. J., vol. 37, 1970, p. 67-80. Zbl0192.39601MR41 #5299
  4. [4] KNOPP (M. I.). — Hecke operators and an identity for the Dedekind sums, J. of Number Theory, vol. 12, 1980, p. 2-9. Zbl0423.10015MR81g:10040
  5. [5] GOLDSTEIN (L.J.). — Dedekind sums for a fuchsian group I. Nagoya Math J., vol. 50, 1973. Zbl0267.10039MR47 #6614
  6. [6] MAASS (H.). — Uber eine neue Art von nichtanalytischen automorphen Funktionen, Math. Annalen, vol. 121, 1949. Zbl0033.11702MR11,163c
  7. [7] KUBOTA (T.). — Elementary theory of Eisenstein series, Kodansha-Halsted Press, 1973. Zbl0268.10012MR55 #2759
  8. [8] IWASAWA (K.). — Lectures on p-adic L-functions, Ann. Math. Studies, Princeton University Press, n° 74. Zbl0236.12001MR50 #12974
  9. [9] SCHOENEBERG (B.). — Elliptic modular functions, Springer-Verlag, 1974. Zbl0285.10016MR54 #236
  10. [10] HARDY (G. H.) et WRIGHT (E. M.). — An introduction to the theory of numbers, Oxford University Press, 1960. Zbl0086.25803
  11. [11] HECKE (E.). — Mathematische Werke. Zbl0092.00102
  12. [12] ATKIN (A.O.L.) et LEHNER (J.). — Hecke operators on гo(m), Math. Annalen, vol. 185, 1970. Zbl0177.34901MR42 #3022
  13. [13] PARSON (A.). — Dedekind sums and Hecke operators, Math. Proc. Camb. Phil. Soc., 1980. Zbl0435.10005
  14. [14] GOLDBERG (L.). — An elementary proof of the Petersson-Knopp theorem on Dedekind sums, J. of Number Theory, vol. 12, (4), 1980. Zbl0444.10006MR82a:10006
  15. [15] APOSTOL (T.) et VU (T. H.). — Identities for sums of Dedekind type, J. of Number Theory, n° 14, (3), 1982. Zbl0487.10012MR83h:10054

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