A FAMILY OF RATIONAL ZETA-FUNCTIONS FOR THE QUADRATIC MAP

被引：5

作者：

HATJISPYROS, S

VIVALDI, F

机构：

[1] Sch. of Math. Sci., London Univ.

来源：

NONLINEARITY | 1995年 / 8卷 / 03期

关键词：

D O I：

10.1088/0951-7715/8/3/002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A family of dynamical zeta functions is introduced, that weigh each periodic orbit with integral powers of its multiplier. For the quadratic map, we prove that some of these functions are rational, and conjecture their general form.

引用

页码：321 / 332

页数：12

共 50 条

[1] ZETA-FUNCTIONS OF RATIONAL FUNCTIONS ARE RATIONAL
HINKKANEN, A
ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA, 1994, 19 (01): : 3 - 10
[2] ZETA-FUNCTIONS OF ORDERS IN QUADRATIC FIELDS
SAIKIA, PK
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 1988, 98 (01): : 31 - 42
[3] LOCAL ZETA-FUNCTIONS OF GENERAL QUADRATIC POLYNOMIALS
IGUSA, J
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 1994, 104 (01): : 177 - 189
[4] ZEROS OF ZETA-FUNCTIONS OF QUADRATIC-FORMS
VORONIN, SM
DOKLADY AKADEMII NAUK SSSR, 1977, 235 (02): : 257 - 258
[5] ZEROS OF QUADRATIC ZETA-FUNCTIONS ON THE CRITICAL LINE
SANKARANARAYANAN, A
ACTA ARITHMETICA, 1995, 69 (01) : 21 - 38
[6] ZETA-FUNCTIONS OF SYSTEMS OF QUADRATIC-FORMS
ANDRIANOV, AN
MATHEMATICAL NOTES, 1976, 20 (1-2) : 571 - 574
[7] SMALL VALUES OF ZETA-FUNCTIONS OF QUADRATIC FIELDS
FRIEDLANDER, JB
MATHEMATICA SCANDINAVICA, 1978, 42 (02) : 161 - 168
[8] Hardy's theorem for zeta-functions of quadratic forms
Ramachandra, K
Sankaranarayanan, A
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 1996, 106 (03): : 217 - 226
[9] ZETA-FUNCTIONS FOR EQUIVALENCE CLASSES OF BINARY QUADRATIC-FORMS
BAUER, P
PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 1994, 69 : 250 - 276
[10] Self-approximation of Hurwitz zeta-functions with rational parameter
Karikovas, Erikas
Pankowski, Lukasz
LITHUANIAN MATHEMATICAL JOURNAL, 2014, 54 (01) : 74 - 81

← 1 2 3 4 5 →