Equal values of certain partition functions via Diophantine equations
Equal values of certain partition functions via Diophantine equations
Abstract Let $$A\subset \mathbb {N}_{+}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>A</mml:mi> <mml:mo>⊂</mml:mo> <mml:msub> <mml:mi>N</mml:mi> <mml:mo>+</mml:mo> </mml:msub> </mml:mrow> </mml:math> and by $$P_{A}(n)$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:msub> <mml:mi>P</mml:mi> <mml:mi>A</mml:mi> </mml:msub> <mml:mrow> <mml:mo>(</mml:mo> <mml:mi>n</mml:mi> <mml:mo>)</mml:mo> </mml:mrow> </mml:mrow> </mml:math> denotes the number of partitions of an integer n into parts from the set A . The …