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Winding quotients and some variants of Fermat's Last Theorem.
giving an abundant but rather uninteresting supply of solutions to equation (2). It is natural to restrict ones attention to the primitive solutions, which is what we will do from now on. Equations
Integration on Hp × H and arithmetic applications
This article describes a conjectural p-adic analytic construction of global points on (modular) elliptic curves, points which are defined over the ring class fields of real quadratic fields. The
Heegner points on
Generalized heegner cycles and p-adic rankin L-series
This article studies a distinguished collection of so-called generalized Heegner cycles in the product of a Kuga–Sato variety with a power of a CM elliptic curve. Its main result is a p-adic analogue
Hida families and rational points on elliptic curves
Let E be an elliptic curve over Q of conductor N = Mp, having a prime p‖N of multiplicative reduction. Because E is modular, it corresponds to a normalised weight two eigenform on Γ0(N), whose
On the Equations Z
We investigate integer solutions of the superelliptic equation (1) z = F (x, y), where F is a homogenous polynomial with integer coefficients, and of the generalized Fermat equation (2) Ax + By = Cz,
Hilbert modular forms and the Gross-Stark conjecture
Let F be a totally real eld and an abelian totally odd character of F . In 1988, Gross stated a p-adic analogue of Stark’s conjecture that relates the value of the derivative of the p-adic L-function
Heegner points on Mumford–Tate curves
1 Shimura curves . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 417 2 Heegner points . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
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