Cogrowth of groups and a matrix of Redheffer

Linear Algebra and Its Applications

Volumn 265, Issue 1-3, 1997, Pages 101-117

  Humphries, Stephen P ^a  

^a BRIGHAM YOUNG UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 21744450815     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0024-3795(96)00593-9     Document Type: Article

References (9)

1. W. Barrett, R. Forcade, and A. Pollington, On the spectral radius of a (0, 1) matrix related to Merten's function, Linear Algebra Appl. 107:151-159 (1988).
2. A. Beardon, On the Geometry of Discrete Groups, Graduate Texts in Math. 91, Springer-Verlag.
3. J. H. Conway and A. J. Jones, Trigonometric diophantine equations (on vanishing sums of roots of unity), Acta Arith. XXX:229-240 (1976).
4. T. Hawkins, The origins of the theory of group characters, Arch. Hist. Exact Sci. 7:142-170 (1971).
5. S. P. Humphries, Cogrowth of groups and the Dedekind-Frobenius group determinant, Math. Proc. Cambridge Philos. Soc., 121, (1997), pp. 193-217.
6. λ, Acta Math. Acad. Sci. Hungar. 37:423-432 (1981).
7. R. M. Redheffer, Eine explizit lösbare Optimierungsaufgabe, Internat. Schriftenreihe Numer. Math. 36 (1977).
8. E. C. Titchmarsh, The Theory of the Riemann Zeta Function, Oxford U.P., Oxford, 1951.
9. R. C. Vaughan, On the eigen-values of Redheffer's matrix I, in Number Theory with an Emphasis on the Markoff Spectrum (A. Pollington and W. Moran, Eds.), Lecture Notes in Pure and Appl. Math. 147, Dekker, New York, 1993, pp. 283-296.