A doubling integral for G2
classification
🧮 math.RT
math.NT
keywords
integrall-functionrepresentationappliesarbitraryautomorphicbecausecharacter
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We introduce a new integral representation for the standard L-function of an irreducible cuspidal automorphic representation of the exceptional group G2, and also for the twist of this L-function by an arbitrary character. Because our construction unfolds to a matrix coefficient rather than a Whittaker function, it applies to non-generic representations as well as generic ones.
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