Zeta Functions for Germs of Meromorphic Functions, and Newton Diagrams
Funkcionalʹnyj analiz i ego priloženiâ, Tome 32 (1998) no. 2, pp. 26-35.

Voir la notice de l'article provenant de la source Math-Net.Ru

@article{FAA_1998_32_2_a2,
     author = {S. M. Gusein-Zade and I. Luengo and A. Melle-Hern\'andez},
     title = {Zeta {Functions} for {Germs} of {Meromorphic} {Functions,} and {Newton} {Diagrams}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {26--35},
     publisher = {mathdoc},
     volume = {32},
     number = {2},
     year = {1998},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_1998_32_2_a2/}
}
TY  - JOUR
AU  - S. M. Gusein-Zade
AU  - I. Luengo
AU  - A. Melle-Hernández
TI  - Zeta Functions for Germs of Meromorphic Functions, and Newton Diagrams
JO  - Funkcionalʹnyj analiz i ego priloženiâ
PY  - 1998
SP  - 26
EP  - 35
VL  - 32
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FAA_1998_32_2_a2/
LA  - ru
ID  - FAA_1998_32_2_a2
ER  - 
%0 Journal Article
%A S. M. Gusein-Zade
%A I. Luengo
%A A. Melle-Hernández
%T Zeta Functions for Germs of Meromorphic Functions, and Newton Diagrams
%J Funkcionalʹnyj analiz i ego priloženiâ
%D 1998
%P 26-35
%V 32
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FAA_1998_32_2_a2/
%G ru
%F FAA_1998_32_2_a2
S. M. Gusein-Zade; I. Luengo; A. Melle-Hernández. Zeta Functions for Germs of Meromorphic Functions, and Newton Diagrams. Funkcionalʹnyj analiz i ego priloženiâ, Tome 32 (1998) no. 2, pp. 26-35. http://geodesic.mathdoc.fr/item/FAA_1998_32_2_a2/

[1] A'Campo N., “La fonction zêta d'une monodromie”, Comm. Math. Helv., 50 (1975), 233–248 | DOI | MR

[2] Arnold V. I., Osobennosti drobei i povedenie mnogochlenov na beskonechnosti, Trudy MIRAN, 221, 1998 | MR | Zbl

[3] Arnold V. I., Varchenko A. N., Gusein-Zade S. M., Osobennosti differentsiruemykh otobrazhenii, t. 2, Nauka, M., 1984 | MR

[4] Bernshtein D. N., “Chislo kornei sistemy uravnenii”, Funkts. analiz i ego pril., 9:3 (1975), 1–4 | MR | Zbl

[5] Gusein-Zade S. M., Luengo I., Melle-Hernández A., “Partial resolutions and the zeta-function of a singularity”, Comm. Math. Helv., 72 (1997), 244–256 | DOI | MR | Zbl

[6] Khovanskii A. G., “Mnogogranniki Nyutona i toricheskie mnogoobraziya”, Funkts. analiz i ego pril., 11:4 (1977), 56–67 | MR

[7] Khovanskii A. G., “Mnogogranniki Nyutona i rod polnykh peresechenii”, Funkts. analiz i ego pril., 12:1 (1978), 51–61 | MR

[8] Oka M., “Principal zeta-function of non-degenerate complete intersection singularity”, J. Fac. Sci. Univ. Tokyo Sect. IA Math., 37 (1990), 11–32 | MR | Zbl

[9] Varchenko A. N., “Zeta function of monodromy and Newton's diagram”, Invent. Math., 37 (1976), 253–262 | DOI | MR | Zbl