کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8900484 1631598 2018 28 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A unifying combinatorial approach to refined little Göllnitz and Capparelli's companion identities
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
A unifying combinatorial approach to refined little Göllnitz and Capparelli's companion identities
چکیده انگلیسی
Berkovich-Uncu have recently proved a companion of the well-known Capparelli's identities as well as refinements of Savage-Sills's new little Göllnitz identities. Noticing the connection between their results and Boulet's earlier four-parameter partition generating functions, we discover a new class of partitions, called k-strict partitions, to generalize their results. By applying both horizontal and vertical dissections of Ferrers' diagrams with appropriate labellings, we provide a unified combinatorial treatment of their results and shed more lights on the intriguing conditions of their companion to Capparelli's identities.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Applied Mathematics - Volume 98, July 2018, Pages 127-154
نویسندگان
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