Local root numbers, Bessel models, and a conjecture of Guo and Jacquet
نویسندگان
چکیده
منابع مشابه
On a Conjecture of Jacquet
In a previous paper [4], we proved this conjecture in the special case where k = Q and the πi’s correspond to a triple of holomorphic newforms. Our method was based on a combination of the Garrett, Piatetski-Shapiro, Rallis integral representation of the triple product L-function with the extended Siegel–Weil formula and the seesaw identity. The restriction to holomorphic newforms over Q arose ...
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چکیده ندارد.
15 صفحه اولGeneralised Form of a Conjecture of Jacquet and a Local Consequence
Following the work of Harris and Kudla we prove a more general form of a conjecture of Jacquet relating the non-vanishing of a certain period integral to non-vanishing of the central critical value of a certain L-function. As a consequence we deduce certain local results about the existence of GL2(k)-invariant linear forms on irreducible, admissible representations of GL2(K) for K a commutative...
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A distinguishing colouring of a graph is a colouring of the vertex set such that no non-trivial automorphism preserves the colouring. Tucker conjectured that if every non-trivial automorphism of a locally finite graph moves infinitely many vertices, then there is a distinguishing 2-colouring. We show that the requirement of local finiteness is necessary by giving a nonlocally finite graph for w...
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ژورنال
عنوان ژورنال: Journal of Number Theory
سال: 2015
ISSN: 0022-314X
DOI: 10.1016/j.jnt.2013.07.001