Comparing Hecke eigenvalues for pairs of automorphic representations for GL(2).
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| Title: | Comparing Hecke eigenvalues for pairs of automorphic representations for GL(2). |
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| Authors: | Tsang, Kin Ming1 (AUTHOR) kmtsang@math.ubc.ca |
| Source: | Journal of Number Theory. Apr2026, Vol. 281, p1-42. 42p. |
| Subjects: | Automorphic forms |
| Abstract: | We consider a variant of the strong multiplicity one theorem. Let π 1 and π 2 be two unitary cuspidal automorphic representations for GL (2) that are not twist-equivalent. We find a lower bound for the lower Dirichlet density of the set of places for which | a v (π 1) | > | a v (π 2) | , where a v (π i) is the trace of the Langlands conjugacy class of π i at v. One consequence of this result is an improvement on the existing bound on the lower Dirichlet density of the set of places for which | a v (π 1) | ≠ | a v (π 2) |. [ABSTRACT FROM AUTHOR] |
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| Database: | Engineering Source |
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