THE p-ADIC EISENSTEIN MEASURE AND SHAHIDI-TYPE p-ADIC INTEGRAL FOR SL(2)
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چکیده
Conjecture 1 (Langlands). To each reductive group G over a number field K, each automorphic (complex) representation π of G, and each finite dimensional representation r of the (complex) group G, there is defined an automorphic L-function L(s, π, r), which enjoys an analytic continuation and functional equation generalizing the Riemann zeta function πΓ(s/2)ζ(s) (or Artin’s L-function L(s, σ), when G = (1) when K is arbitrary, π = Id, G = Gal(L/K), and r is a n-dimensional Artin representation σ, etc.).
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تاریخ انتشار 2010