Monodromy Zeta-functions of Deformations and Newton Diagrams

被引：0

作者：

Gusev, Gleb ^{[1
]}

机构：

[1] Independent Univ Moscow, Moscow State Univ, Moscow, Russia

来源：

REVISTA MATEMATICA COMPLUTENSE | 2009年 / 22卷 / 02期

关键词：

Deformations of singularities; monodromy; zeta-function; Newton diagram;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For a one-parameter deformation of an analytic complex function germ of several variables, there is defined its monodromy zeta-function. We give a Varchenko type formula for this zeta-function if the deformation is non-degenerate with respect to its Newton diagram.

引用

页码：447 / 454

页数：8

共 50 条

[21] THEORY OF SELBERGS ZETA-FUNCTIONS
CHRISTIAN, U
[J]. ARCHIV DER MATHEMATIK, 1990, 54 (05) : 474 - 486
[22] CONVERGENCE OF DYNAMIC ZETA-FUNCTIONS
AURELL, E
[J]. JOURNAL OF STATISTICAL PHYSICS, 1990, 58 (5-6) : 967 - 995
[23] ZEROS OF HURWITZ ZETA-FUNCTIONS
SPIRA, R
[J]. NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1975, 22 (02): : A296 - A296
[24] HIGHER TORSION ZETA-FUNCTIONS
DEITMAR, A
[J]. ADVANCES IN MATHEMATICS, 1995, 110 (01) : 109 - 128
[25] CONJECTURE OF DEDEKIND ON ZETA-FUNCTIONS
VANDERWAALL, RW
[J]. PROCEEDINGS OF THE KONINKLIJKE NEDERLANDSE AKADEMIE VAN WETENSCHAPPEN SERIES A-MATHEMATICAL SCIENCES, 1975, 78 (01): : 93 - 86
[26] Arithmetical identities and zeta-functions
Kanemitsu, Shigeru
Ma, Jing
Tanigawa, Yoshio
[J]. MATHEMATISCHE NACHRICHTEN, 2011, 284 (2-3) : 287 - 297
[27] PARABOLIC COMPONENTS OF ZETA-FUNCTIONS
KUROKAWA, N
[J]. PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 1988, 64 (01) : 21 - 24
[28] Supersymmetric Dynamics and Zeta-Functions
[J]. Physics of Particles and Nuclei, 2018, 49 : 961 - 962
[29] On Universality of Certain Zeta-functions
Laurincikas, A.
Macaitiene, R.
Mokhov, D.
Siauciunas, D.
[J]. IZVESTIYA SARATOVSKOGO UNIVERSITETA NOVAYA SERIYA-MATEMATIKA MEKHANIKA INFORMATIKA, 2013, 13 (04): : 72 - 76
[30] ZETA-FUNCTIONS OF RECOGNIZABLE LANGUAGES
BERSTEL, J
REUTENAUER, C
[J]. LECTURE NOTES IN COMPUTER SCIENCE, 1988, 317 : 93 - 104

← 1 2 3 4 5 →