Separable integer partition classes Article Swipe

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Annotation Separable space Algorithm Partition (number theory) Semantics (computer science) Type (biology) Computer science Mathematics Artificial intelligence Combinatorics Programming language Biology Ecology Mathematical analysis

George E. Andrews ·

YOU? · · 2022 · Open Access · · DOI: https://doi.org/10.1090/btran/87 · OA: W3049256830

A classical method for partition generating function is developed into a tool with wide applications. New expansions of well-known theorems are derived, and new results for partitions with <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="n"> <mml:semantics> <mml:mi>n</mml:mi> <mml:annotation encoding="application/x-tex">n</mml:annotation> </mml:semantics> </mml:math> </inline-formula> copies of <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="n"> <mml:semantics> <mml:mi>n</mml:mi> <mml:annotation encoding="application/x-tex">n</mml:annotation> </mml:semantics> </mml:math> </inline-formula> are presented.