MODULAR SYMBOLS FOR REDUCTIVE GROUPS AND p-ADIC RANKIN-SELBERG CONVOLUTIONS OVER NUMBER FIELDS

نویسندگان

  • FABIAN JANUSZEWSKI
  • Fabian Januszewski
چکیده

We give a construction of a wide class of modular symbols attached to reductive groups. As an application we construct a p-adic distribution interpolating the special values of the twisted Rankin-Selberg L-function attached to cuspidal automorphic representations π and σ of GLn and GLn−1 over a number field k. If π and σ are ordinary at p, our distribution is bounded and gives rise to a p-adic L-function.

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تاریخ انتشار 2009