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Abstract:

Let E be a rational elliptic curve and let p be an odd prime of additive reduction. Let K be an imaginary quadratic field and fix a positive integer c prime to the conductor of E. The main goal of the present article is to define an anticyclotomic p-adic L-function L attached to E/K when E/Qp attains semistable reduction over an abelian extension. We prove that L satisfies the expected interpolation properties; namely, we show that if χ is an anticyclotomic character of conductor cpn, then χ(L) is equal (up to explicit constants) to L(E,χ,1) or L′(E,χ,1). © 2018 Académie des sciences

Registro:

Documento: Artículo
Título:Anticyclotomic p-adic L-functions for elliptic curves at some additive reduction primes
Autor:Kohen, D.; Pacetti, A.
Filiación:Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, IMAS, Conicet, Argentina
FAMAF-CIEM, Universidad Nacional de Córdoba, Córdoba, C.P:5000, Argentina
Año:2018
Volumen:356
Número:10
Página de inicio:973
Página de fin:983
DOI: http://dx.doi.org/10.1016/j.crma.2018.09.005
Título revista:Comptes Rendus Mathematique
Título revista abreviado:C. R. Math.
ISSN:1631073X
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_1631073X_v356_n10_p973_Kohen

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Citas:

---------- APA ----------
Kohen, D. & Pacetti, A. (2018) . Anticyclotomic p-adic L-functions for elliptic curves at some additive reduction primes . Comptes Rendus Mathematique, 356(10), 973-983.
http://dx.doi.org/10.1016/j.crma.2018.09.005
---------- CHICAGO ----------
Kohen, D., Pacetti, A. "Anticyclotomic p-adic L-functions for elliptic curves at some additive reduction primes " . Comptes Rendus Mathematique 356, no. 10 (2018) : 973-983.
http://dx.doi.org/10.1016/j.crma.2018.09.005
---------- MLA ----------
Kohen, D., Pacetti, A. "Anticyclotomic p-adic L-functions for elliptic curves at some additive reduction primes " . Comptes Rendus Mathematique, vol. 356, no. 10, 2018, pp. 973-983.
http://dx.doi.org/10.1016/j.crma.2018.09.005
---------- VANCOUVER ----------
Kohen, D., Pacetti, A. Anticyclotomic p-adic L-functions for elliptic curves at some additive reduction primes . C. R. Math. 2018;356(10):973-983.
http://dx.doi.org/10.1016/j.crma.2018.09.005