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A proof of the Theta Operator Conjecture

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 نشر من قبل Marino Romero
 تاريخ النشر 2020
  مجال البحث
والبحث باللغة English
 تأليف Marino Romero




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In the context of the (generalized) Delta Conjecture and its compositional form, DAdderio, Iraci, and Wyngaerd recently stated a conjecture relating two symmetric function operators, $D_k$ and $Theta_k$. We prove this Theta Operator Conjecture, finding it as a consequence of the five-term relation of Mellit and Garsia. As a result, we find surprising ways of writing the $D_k$ operators.

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