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<p>In this paper, based on Hida’s methods, we establish <i>p</i>-stability results for the critical L-values of algebraic Hecke characters over CM fields in <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="208_2024_3078_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="12" /> </InlineMediaObject> <EquationSource Format="TEX">\(\ell \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>ℓ</mi> </math></EquationSource> </InlineEquation>-adic anticyclotomic twist family with <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="208_2024_3078_Article_IEq2.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="41" /> </InlineMediaObject> <EquationSource Format="TEX">\(\ell \ne p\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>ℓ</mi> <mo>≠</mo> <mi>p</mi> </mrow> </math></EquationSource> </InlineEquation>.</p>

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Stability of p-adic valuations of Hecke L-values

  • 期刊论文

  • 发表日期：

    2025年2月4日

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  • Wei He

摘要

In this paper, based on Hida’s methods, we establish p-stability results for the critical L-values of algebraic Hecke characters over CM fields in \(\ell \) ℓ -adic anticyclotomic twist family with \(\ell \ne p\) ℓ ≠ p .