@article{JTNB_1995__7_1_143_0, author = {Nakajima, Shoichi}, title = {On {Gauss} sum characters of finite groups and generalized {Bernoulli} numbers}, journal = {Journal de th\'eorie des nombres de Bordeaux}, pages = {143--154}, publisher = {Universit\'e Bordeaux I}, volume = {7}, number = {1}, year = {1995}, mrnumber = {1413573}, zbl = {0848.11052}, language = {en}, url = {http://www.numdam.org/item/JTNB_1995__7_1_143_0/} }
TY - JOUR AU - Nakajima, Shoichi TI - On Gauss sum characters of finite groups and generalized Bernoulli numbers JO - Journal de théorie des nombres de Bordeaux PY - 1995 SP - 143 EP - 154 VL - 7 IS - 1 PB - Université Bordeaux I UR - http://www.numdam.org/item/JTNB_1995__7_1_143_0/ LA - en ID - JTNB_1995__7_1_143_0 ER -
Nakajima, Shoichi. On Gauss sum characters of finite groups and generalized Bernoulli numbers. Journal de théorie des nombres de Bordeaux, Tome 7 (1995) no. 1, pp. 143-154. http://www.numdam.org/item/JTNB_1995__7_1_143_0/
[1] Über das Verhalten der Integrale erster Gattung bei Automorphismen des Funktionenkörpers, Abh. Math. Sem. Hamburg Univ. 10 (1934), 358-361, : Collected Papers, vol. I, 68-71. | JFM | Zbl
and ,[2] Über das Verhalten der Modulfunktionen von Primzahlstufe bei beliebigen Modulsubstitutionen, Abh. Math. Sem. Hamburg Univ. 8 (1931), 323-347. | JFM | Zbl
,[3] Algebraic Geometry, Springer Verlag, New York-Heidelberg -Berlin, 1977. | MR | Zbl
,[4] Representations of the finite symplectic group Sp(4, Fp) in the spaces of Siegel modular forms, Contemporary Math. 53 (1986), 253-276. | Zbl
,[5] Vorlesungen über Zahlentheorie, zweite Auflage, Springer Verlag, Berlin-Gottingen- Heidelberg-New York, 1964. | MR
,[6] Mathematische Werke, zweite Auflage, Vandenhoeck & Ruprecht, Göttingen, 1970. | MR | Zbl
,[7] On the evaluation of Gaussian sums for non-primitive Dirichlet characters, L'enseignement math. 23 (1977), 13-18. | MR | Zbl
,[8] A generalization of a theorem of Hecke, Amer. J. Math. 84 (1962), 306-316. | MR | Zbl
,[9] Galois module structure of cohomology groups for tamely ramified coverings of algebraic varieties, J. Number Theory 22 (1986), 115-123. | MR | Zbl
,[10] Action of finite groups on the holomorphic differentials of Riemann surfaces and the class numbers of imaginary quadratic fields, Reports of Number Theory Symposium, Osaka in Japanese (1989), 37-42.
,[11] On the representation of SL2 (Fq) in the space of Hilbert modular forms, J. Math. Kyoto Univ. 15 (1975), 101-128. | MR | Zbl
,[12] Linear Representations of Finite Groups, Springer Verlag, Berlin Heidelberg- New York, 1977. | MR | Zbl
,[13] On the construction of Galois extensions of function fields and number fields, Math. Ann. 207 (1974), 99-120. | MR | Zbl
,[14] Die Darstellung der inhomogenen Modulargruppe mod qn durch die ganzen Modulformen gerader Dimension, Math. Ann. 111 (1935), 329-354. | JFM | MR | Zbl
,[15] Introduction to cyclotomic fields, Springer Verlag, New York-Heidelberg -Berlin, 1982. | MR | Zbl
,[16] Über Matrizenringe auf Riemannschen flächen und den Riemann-Rochschen Satz, Abh. Math. Sem. Hamburg Univ. 11 (1935), 110-115, : Collected Papers, I,80-85. | JFM | Zbl
,[17] PSL2(Zp) and the Atiyah-Bott fixed-point theorem, Houston J. Math. 6 (1980), 427-430. ' | MR | Zbl
,