<i>p</i>-adic Rankin<i>L</i>-series and rational points on CM elliptic curves

Massimo Bertolini; Henri Darmon; Kartik Prasanna

doi:10.2140/pjm.2012.260.261

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p-adic RankinL-series and rational points on CM elliptic curves

Massimo Bertolini Henri Darmon Kartik Prasanna

Year: 2012 Journal: Pacific Journal of Mathematics Vol: 260 (2)Pages: 261-303 Publisher: Mathematical Sciences Publishers

DOI: 10.2140/pjm.2012.260.261

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Abstract

1. Hecke characters and periods 4 1.1. Algebraic Hecke characters 4 1.2. Abelian varieties associated to characters of type (1, 0) 5

Keywords:

Mathematics Complex multiplication Elliptic curve Pure mathematics Logarithm Quadratic field Modular form Abelian group Generalization Formal group Quadratic equation Interpolation (computer graphics) Algebra over a field Mathematical analysis Quadratic function Geometry

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Algebraic Geometry and Number Theory

Physical Sciences → Mathematics → Geometry and Topology

Advanced Algebra and Geometry

Physical Sciences → Mathematics → Mathematical Physics

Advanced Mathematical Identities

Physical Sciences → Mathematics → Algebra and Number Theory

p-adic RankinL-series and rational points on CM elliptic curves

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