Congruence primes for Ikeda lifts and the Ikeda ideal

Autor:	Jim Brown, Rodney Keaton
Rok vydání:	2015
Předmět:	Discrete mathematics Conjecture Mathematics::Number Theory General Mathematics Nuclear Theory Congruence relation Space (mathematics) Upper and lower bounds Nonlinear Sciences::Chaotic Dynamics Combinatorics Lift (mathematics) Congruence (manifolds) Eigenform Ideal (ring theory) Mathematics
Zdroj:	Pacific Journal of Mathematics. 274:27-52
ISSN:	0030-8730
DOI:	10.2140/pjm.2015.274.27
Popis:	Let f be a newform of level 1 and weight.2 n/ for positive even integers and n. We study congruence primes for the Ikeda lift of f . In particular, we consider a conjecture of Katsurada stating that primes dividing certain L-values of f are congruence primes for the Ikeda lift. Instead of focusing on a congruence to a single eigenform, we deduce a lower bound on the number of all congruences between the Ikeda lift of f and forms not lying in the space spanned by Ikeda lifts.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::07e3b201942fe6a7ae0f1e9ae42588ea https://doi.org/10.2140/pjm.2015.274.27 Zobrazit plný text záznamu