The limit distribution of a number theoretic function arising from a problem in statistical mechanics

Journal of Number Theory

Volumn 90, Issue 2, 2001, Pages 265-280

  Peter, Manfred ^a  

^a UNIVERSITY OF FREIBURG   (Germany)

Author keywords

Almost periodic functions; Class numbers; Farey fractions; Limit distribution; Spin chain

Indexed keywords

EID: 0035180630     PISSN: 0022314X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jnth.2001.2666     Document Type: Article

References (12)

1. On the distribution of the number of lattice points inside a family of convex ovals
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3. On the distribution of the values of quadratic L-series in the half plane σ > 1/2
4. "Probabilistic Number Theory I"
5. "A Classical Introduction to Modern Number Theory"
6. On asymptotic properties of a number theoretic function arising out of a spin chain model in statistical mechanics
7. A farey fraction spin chain
8. Momente der Klassenzahlen binärer quadratischer Formen mit ganzalgebraischen Koeffizienten
9. Almost periodicity of the normalized representation numbers associated to positive definite ternary quadratic forms
10. Class numbers of indefinite quadratic forms
11. "Arithmetical Functions"
12. Moments of class numbers III