Zeta functions of nearly circular domains

Journal of Physics A: Mathematical and General

Volumn 29, Issue 19, 1996, Pages 6379-6393

  Kvitsinsky, Andrei A ^a,b  

^a CALIFORNIA STATE UNIVERSITY   (United States)

^b ST PETERSBURG STATE UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030491478     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/29/19/022     Document Type: Article

References (19)

1. Itzykson C, Moussa P and Luck J M 1986 Sum rules for quantum billiards J. Phys. A: Math. Gen. 19 L111-5
2. Itzykson C and Luck J M 1986 Arithmetic degeneracies in simple quantum systems J. Phys. A: Math. Gen. 19 211-39
3. Berry M V and Robnik M 1986 Statistics of energy levels without time-reversal symmetry: Aharonov-Bohm chaotic billiards J. Phys. A: Math. Gen. 19 649-68
4. Berry M V 1986 Spectral zeta functions for Aharonov-Bohm quantum billiards J. Phys. A: Math. Gen. 19 2281-96
5. Gutzwiller M C 1990 Chaos in Classical and Quantum Mechanics (New York: Springer)
6. Voros A 1987 Spectral functions, special functions and the Selberg zeta function Commun. Math. Phys. 110 439-65
7. Voros A 1992 Spectral zeta functions Adv. Stud. Pure Math. 21 327-58
8. ν(x) Math. Comp. 1 405-7
9. Watson G N 1944 A Treatise on the Theory of Bessel Functions (Cambridge: Cambridge University Press)
10. Kishore N 1963 The Rayleigh function Proc. Am. Math. Soc. 14 527-33
11. Howkins J 1983 On a zeta function associated with Bessel's equation PhD Thesis University of Illinois, Urbana, IL
12. Steiner F 1987 Spectral sum rules for the circular Aharonov-Bohm quantum billiard Fort. Phys. 35 87-114
13. Elizalde E, Leseduarte S and Romeo A 1993 Sum rules for zeros of Bessel functions and an application to spherical Aharonov-Bohm quantum bags J. Phys. A: Math. Gen. 26 2409-19
14. Leseduarte S and Romeo A 1994 Zeta function of the Bessel operator on the negative real axis J. Phys. A: Math. Gen. 27 2483-95
15. Kvitsinsky A A 1995 Spectral zeta functions for q-Bessel equations J. Phys. A: Math. Gen. 28 1753-64
16. Kvitsinsky A A 1995 Zeta functions, heat kernel expansions, and asymptotics for q-Bessel functions J. Math. Anal. Appl. 196 947-64
17. Gilkey P B 1984 Invariance Theory, The Heat Equation, and the Atiya-Singer Index Theorem (Wilmington: Publish or Perish)
18. Nehari Z 1975 Conformal Mapping (New York: Dover)
19. Erdélyi A 1953 Higher Transcendental Functions vol 2 (New York: McGraw-Hill)