# Anticyclotomic p-adic L-functions for elliptic curves at some additive reduction primes

@article{Kohen2018AnticyclotomicPL, title={Anticyclotomic p-adic L-functions for elliptic curves at some additive reduction primes}, author={Daniela Kohen and Ariel Pacetti}, journal={Comptes Rendus Mathematique}, year={2018} }

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The Main Conjecture of Iwasawa theory for an elliptic curve $E$ over $\mathbb{Q}$ and the anticyclotomic $\mathbb{Z}_p$-extension of an imaginary quadratic field $K$ was studied in…

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In this paper we study the two p-adic L-functions attached to a modular form f = ∑ anq at a supersingular prime p. When ap = 0, we are able to decompose both the sum and the difference of the two…

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We give a new and representation theoretic construction of p-adic interpolation series for central values of self-dual Rankin-Selberg L-functions for GL(2) in dihedral towers of CM fields, i.e. for…

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We prove a general formula for the $p$ -adic heights of Heegner points on modular abelian varieties with potentially ordinary (good or semistable) reduction at the primes above $p$ . The formula is…

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