Langlands Base Change for GL(2)

Mathematics – Number Theory

Scientific paper

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27 pages. Main result improved: now there is no condition on the primes in the level of the newform (they are allowed to ramif

Scientific paper

Let F be a totally real Galois number field. We prove the existence of base
change relative to the extension F/Q for every classical newform of odd level,
under simple local assumptions on the field F.

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