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Generalized partition functions and subgroup growth of free products of nilpotent groups
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Published/Copyright:
September 25, 2009
Summary
We estimate the growth of homomorphism numbers of a torsion-free nilpotent group G using a variant of the circle method together with the analytic continuation of ζG(s) established in [4]. As an application, we obtain information on the subgroup growth of free products of nilpotent groups.
Keywords: subgroup growth; free products; generalized partition functions; circle method; nilpotent groups
Published Online: 2009-09-25
Published in Print: 2005-12-01
© Oldenbourg Wissenschaftsverlag GmbH
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Articles in the same Issue
- Inequalities for the hyperbolic tangent
- Analytic integrals and Poincaré's centre problem
- Generalized partition functions and subgroup growth of free products of nilpotent groups
- Uniqueness polynomials for entire curves into complex projective space
- On a fourth order Steklov eigenvalue problem
- Conformal measures for non-entire functions with critical values eventually mapped onto infinity
Keywords for this article
subgroup growth;
free products;
generalized partition functions;
circle method;
nilpotent groups
Articles in the same Issue
- Inequalities for the hyperbolic tangent
- Analytic integrals and Poincaré's centre problem
- Generalized partition functions and subgroup growth of free products of nilpotent groups
- Uniqueness polynomials for entire curves into complex projective space
- On a fourth order Steklov eigenvalue problem
- Conformal measures for non-entire functions with critical values eventually mapped onto infinity
