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<p>Let <i>K</i> be an imaginary quadratic field. In this article, we construct <i>p</i>-adic <i>L</i>-functions of non-cuspidal Bianchi modular forms by introducing the notions of <i>C</i>-cuspidality and partial Bianchi modular symbols. When <i>p</i> splits in <i>K</i>, we focus on <i>p</i>-adic <i>L</i>-functions of non-cuspidal base change Bianchi modular forms, showing that they factor as products of two Katz <i>p</i>-adic <i>L</i>-functions.</p>

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Non-cuspidal Bianchi modular forms and Katz p-adic L-functions

  • 期刊论文

  • 发表日期：

    2025年3月4日

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  • Luis Santiago Palacios

摘要

Let K be an imaginary quadratic field. In this article, we construct p-adic L-functions of non-cuspidal Bianchi modular forms by introducing the notions of C-cuspidality and partial Bianchi modular symbols. When p splits in K, we focus on p-adic L-functions of non-cuspidal base change Bianchi modular forms, showing that they factor as products of two Katz p-adic L-functions.