Non-vanishing modulo p of central critical Rankin-Selberg L-values with\n anticyclotomic twists

2010/10/28 by Miljan Brakočević, Brakočević, Miljan
Arts and Humanities · Mathematics · #11F67 #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometry and complex manifolds #Historical Studies and Socio-cultural Analysis #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1010.6066

openalex publication_date 2010/10/28 · openalex created_date 2022/10/03 · openalex updated_date 2026/07/28

Abstract

We prove non-vanishing modulo p, for a prime \ℓ different from p, of\ncentral critical Rankin-Selberg L-values with anticyclotomic twists of\n\ℓ-power conductor. The L-function is Rankin product of a cusp form and a\ntheta series of arithmetic Hecke character of an imaginary quadratic field. The\npaper is concerned with the case when the weight of Hecke character is greater\nthan that of cusp form, so the L-value is essentially different in nature from\nthe one in the landmark work of Vatsal and Cornut-Vatsal on the same theme.\n

Citations

• Good Reduction of Abelian Varieties

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