We attach p-adic L-functions to critical modular forms and study them. We prove that those L-functions fit in a two-variables p-adic L-function defined locally everywhere on the eigencurve.
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Seoul Natl Univ, Dept Math Sci, Seoul, South Korea
Seoul Natl Univ, Res Inst Math, Seoul, South KoreaGoethe Univ Frankfurt, Inst Math, Frankfurt, Germany
Kim, Dohyeong
Kim, Minhyong
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Int Ctr Math Sci, 47 Potterrow, Edinburgh EH8 9BT, Scotland
Korea Inst Adv Study, Seoul, South KoreaGoethe Univ Frankfurt, Inst Math, Frankfurt, Germany
Kim, Minhyong
Park, Jeehoon
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Seoul Natl Univ, Ctr Quantum Struct Modules & Spaces, Seoul, South KoreaGoethe Univ Frankfurt, Inst Math, Frankfurt, Germany
Park, Jeehoon
Yoo, Hwajong
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Seoul Natl Univ, Res Inst Math, Seoul, South Korea
Seoul Natl Univ, Coll Liberal Studies, Seoul, South KoreaGoethe Univ Frankfurt, Inst Math, Frankfurt, Germany