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<p>Let <i>p</i> be an odd prime number. Let <i>f</i> be a weight-two normalized Hecke eigen-cuspform that is non-ordinary at <i>p</i>. Let <i>K</i> be an imaginary quadratic field in which <i>p</i> splits. We study the Artin formalism for the two-variable signed <i>p</i>-adic <i>L</i>-functions attached to <i>f</i> over <i>K</i>. In particular, we give evidence of a prediction made by Castella–Ciperiani–Skinner–Sprung and provide a different proof of (Sprung in Adv Math 449:109741, 2024, Lemma&#xa0;4.34).</p>

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Artin formalism for p-adic L-functions of weight-two modular forms at non-ordinary primes

  • 期刊论文

  • 发表日期：

    2025年10月1日

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  • Antonio Lei

摘要

Let p be an odd prime number. Let f be a weight-two normalized Hecke eigen-cuspform that is non-ordinary at p. Let K be an imaginary quadratic field in which p splits. We study the Artin formalism for the two-variable signed p-adic L-functions attached to f over K. In particular, we give evidence of a prediction made by Castella–Ciperiani–Skinner–Sprung and provide a different proof of (Sprung in Adv Math 449:109741, 2024, Lemma 4.34).