anticyclotomic

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English[edit]

Etymology[edit]

anti- +‎ cyclotomic

Adjective[edit]

anticyclotomic (not comparable)

  1. (number theory) Pertaining to a Galois character φ, such that φ . (φ ◦ c) = 1, where c is the nontrivial element of Gal(K/Q), where K is an imaginary quadratic field.
    • 2015, Santiago Molina Blanco, “Anticyclotomic p-adic l-functions and the exceptional zero phenomenon”, in arXiv[1]:
      Our methods are based on a new construction of the anticyclotomic p-adic L-function by means of the corresponding automorphic representation..