most citedp-adic Abel-Jacobi map and p-adic Gross-Zagier formula for Hilbert modular forms

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math.NT2017★ 2 cited

p-adic Abel-Jacobi map and p-adic Gross-Zagier formula for Hilbert modular forms

Ivan Blanco-Chacon, Ignacio Sols

We compute the p-adic Abel-Jacobi map of the product of a Hilbert modular surface and a modular curve at a null-homologous (modified) embedding of the modular curve in this product…

math.NT2017

Primes of the form n^2+n+p have density 1

Ivan Blanco-Chacon, Gary McGuire, Oisin Robinson

We consider the representation of primes as a sum of a prime and twice a triangular number. We prove that a subset of the primes having density 1 is expressible in this form. We co…

math.NT2012

A higher order p-adic class number formula

Iván Blanco-Chacón

We generalize a formula of Leopoldt which relates the p-adic regulator modulo p of a real abelian extension of Q with the value of the relative Dedekind zeta function at s=2-p. We…