A relation between automorphic forms on GL(2) and GL(3)
نویسندگان
چکیده
منابع مشابه
Mass Equidistribution for Automorphic Forms of Cohomological Type on Gl2
One of the central problems in the subject of quantum chaos is to understand the behaviour of high energy Laplace eigenfunctions on a Riemannian manifold M . There is an important conjecture of Rudnick and Sarnak [32] which predicts one aspect of this behaviour in the case when M is compact and negatively curved, namely that the microlocal lifts of eigenfunctions tend weakly to Liouville measur...
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We prove a commutative algebra result which has consequences for congruences between automorphic forms modulo prime powers. If C denotes the congruence module for a fixed automorphic Hecke eigenform π0 we prove an exact relation between the p-adic valuation of the order of C and the sum of the exponents of p-power congruences between the Hecke eigenvalues of π0 and other automorphic forms. We a...
متن کاملErratum to “mass Equidistribution for Automorphic Forms of Cohomological Type on Gl2”
Corollary 3 of [4] is not known unconditionally, as cohomological automorphic forms on GL2 over an imaginary quadratic field are not known to satisfy the Ramanujan conjecture. We shall briefly describe the reason for this and discuss what information Theorem 1 of [4] does give in the case of imaginary quadratic fields. Let K be an imaginary quadratic field with nontrivial automorphism c, and le...
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ژورنال
عنوان ژورنال: Proceedings of the National Academy of Sciences
سال: 1976
ISSN: 0027-8424,1091-6490
DOI: 10.1073/pnas.73.10.3348