Counterexamples to the modified Weyl-Berry conjecture on fractal drums

被引：51

作者：

Lapidus, ML ^{[1
]}

Pomerance, C ^{[1
]}

机构：

[1] UNIV GEORGIA,BOYD GRAD STUDIES RES CTR,DEPT MATH,ATHENS,GA 30602

来源：

MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY | 1996年 / 119卷

关键词：

D O I：

10.1017/S0305004100074053

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

[No abstract available]

引用

页码：167 / 178

页数：12

共 18 条

[1] FRACTAL DRUMS AND THE N-DIMENSIONAL MODIFIED WEYL-BERRY CONJECTURE
HUA, C
SLEEMAN, BD
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1995, 168 (03) : 581 - 607
[2] Generalisation of the modified Weyl-Berry conjecture for drums with jagged boundaries
Homolya, S
[J]. PHYSICS LETTERS A, 2003, 318 (4-5) : 380 - 387
[3] THE RIEMANN ZETA-FUNCTION AND THE WEYL-BERRY CONJECTURE FOR FRACTAL DRUMS
LAPIDUS, ML
POMERANCE, C
[J]. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1990, 310 (06): : 343 - 348
[4] THE RIEMANN ZETA-FUNCTION AND THE ONE-DIMENSIONAL WEYL-BERRY CONJECTURE FOR FRACTAL DRUMS
LAPIDUS, ML
POMERANCE, C
[J]. PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 1993, 66 : 41 - 69
[5] THE RIEMANN-HYPOTHESIS, VIBRATING FRACTAL STRINGS AND THE MODIFIED WEYL-BERRY CONJECTURE
LAPIDUS, ML
MAIER, H
[J]. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1991, 313 (01): : 19 - 24
[6] Fractal drums and the Weyl-Berry-Lapidus conjecture
Hobiki, Y
Yakubo, K
Nakayama, T
[J]. PHYSICA B-CONDENSED MATTER, 1996, 219-20 : 354 - 356
[7] FRACTAL DRUM - TOWARDS A RESOLUTION OF THE WEYL-BERRY CONJECTURE FOR THE EIGENVALUES OF THE LAPLACIAN
LAPIDUS, ML
FLECKINGERPELLE, J
[J]. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1988, 306 (04): : 171 - 175
[8] Counting function asymptotics and the weak Weyl-Berry conjecture for connected domains with fractal boundaries
Chen Hua
Brian D. Sleeman
[J]. Acta Mathematica Sinica, 1998, 14 (2) : 261 - 276
[9] Counting function asymptotics and the weak Weyl-Berry conjecture for connected domains with fractal boundaries
Chen, H
Sleeman, BD
[J]. ACTA MATHEMATICA SINICA-NEW SERIES, 1998, 14 (02): : 261 - 276
[10] Counting Function Asymptotics and the Weak Weyl-Berry Conjecture for Connected Domains with Fractal Boundaries
Chen Hua Department of MathematicsWuhan UniversityWuhan ChinaEmailchenhuawhueducnBrian DSleeman School of MathematicsUniversity of LeedsLeeds LS JTEnglandUKEmailbdsamstaleedsacuk
[J]. Acta Mathematica Sinica(New Series)., 1998, 14 (02) - 276

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