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1 results

  • The exceptional zero conjecture for Hilbert modular forms

  • Part of
  • Chung Pang Mok
  • Journal:
    Compositio Mathematica / Volume 145 / Issue 1 / January 2009
    Published online by Cambridge University Press:
    01 January 2009, pp. 1-55
    Print publication:
    January 2009
    • Article
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  • Using a p-adic analogue of the convolution method of Rankin–Selberg and Shimura, we construct the two-variable p-adic L-function of a Hida family of Hilbert modular eigenforms of parallel weight. It is shown that the conditions of Greenberg–Stevens [R. Greenberg and G. Stevens, p-adic L-functions and p-adic periods of modular forms, Invent. Math. 111 (1993), 407–447] are satisfied, from which we deduce special cases of the Mazur–Tate–Teitelbaum conjecture in the Hilbert modular setting.