Theta distinguished representations, inflation and the symmetric square L-function
نویسندگان
چکیده
منابع مشابه
Distinguished representations and exceptional poles of the Asai-L-function
Let K/F be a quadratic extension of p-adic fields. We show that a generic irreducible representation of GL(n, K) is distinguished if and ony if its Rankin-Selberg Asai L-function has an exceptional pole at zero. We use this result to compute Asai L-functions of ordinary irreducible representations of GL(2, K). In the appendix, we describe supercuspidal dihedral representations of GL(2, K) in te...
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CONTENTS We use Zagier's method to compute the critical values of the 1. Introduction symmetric square L-functions of six cuspidal eigenforms of level 2. Calculating the Critical Values one with rational coefficients. According to the Bloch-Kato 3. Tables of Results conjecture, certain large primes dividing these critical values 4. An Observation must be the orders of elements in generalised Sh...
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ژورنال
عنوان ژورنال: Mathematische Zeitschrift
سال: 2016
ISSN: 0025-5874,1432-1823
DOI: 10.1007/s00209-016-1627-8