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<p>In this paper, we present a number of infinite families of Ramanujan-type congruences satisfied by <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="40590_2025_716_Article_IEq1.gif" Format="GIF" Height="23" Rendition="HTML" Resolution="72" Type="Linedraw" Width="65" /> </InlineMediaObject> <EquationSource Format="TEX">\(\overline{ped}_{j,k}(n)\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msub> <mover> <mrow> <mi mathvariant="italic">ped</mi> </mrow> <mo>¯</mo> </mover> <mrow> <mi>j</mi> <mo>,</mo> <mi>k</mi> </mrow> </msub> <mrow> <mo stretchy="false">(</mo> <mi>n</mi> <mo stretchy="false">)</mo> </mrow> </mrow> </math></EquationSource> </InlineEquation>, the number of [<i>j</i>,&#xa0;<i>k</i>]-overpartitions of <i>n</i>, such that the even parts are distinct and the first occurrence of each part congruent to <i>j</i> modulo <i>k</i> may be overlined.</p>

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New congruences for [j,k]-overpartitions with even parts distinct

  • 期刊论文

  • 发表日期：

    2025年2月3日

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  • Robson da Silva,
  • Marcelo C. Gama

摘要

In this paper, we present a number of infinite families of Ramanujan-type congruences satisfied by \(\overline{ped}_{j,k}(n)\) ped ¯ j , k ( n ) , the number of [j, k]-overpartitions of n, such that the even parts are distinct and the first occurrence of each part congruent to j modulo k may be overlined.