Associating curves of low genus to infinite nilpotent groups via the zeta function.

DOI10.1007/BF02787542zbMath1073.20030arXivmath/0209271OpenAlexW2071465942MaRDI QIDQ1885586

Cornelius Griffin

Publication date: 11 November 2004

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0209271

zbMATH Keywords

elliptic curvesrational pointssubgroups of finite indexnilpotent groupszeta functionsnumbers of subgroups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Nilpotent groups (20F18) Rational points (14G05) Elliptic curves (14H52) Other Dirichlet series and zeta functions (11M41) Associated Lie structures for groups (20F40)

Cites Work

• Unnamed Item
• The rationality of the Poincaré series associated to the p-adic points on a variety
• Subgroups of finite index in nilpotent groups
• A Functional Equation of Igusa's Local Zeta Function
• Counting subgroups in nilpotent groups and points on elliptic curves
• The behavior of the Mordell-Weil group of elliptic curves
• Analytic properties of zeta functions and subgroup growth
• Determinantal hypersurfaces.
• A nilpotent group and its elliptic curve: non-uniformity of local zeta functions of groups

This page was built for publication: Associating curves of low genus to infinite nilpotent groups via the zeta function.