On some problems of J. Dénes and P. Turán
On some problems of J. Dénes and P. Turán
In what follows we are dealing with some statistical properties of partitions resp. unequal partitions of positive integers. We introduce the notation 1.1 <math display='block'> <mi>Π</mi><mo>=</mo><mrow><mo>{</mo> <mrow> <mtable> <mtr> <mtd> <mrow> <msub> <mi>λ</mi> <mn>1</mn> </msub> <mo>+</mo><msub> <mi>λ</mi> <mn>2</mn> </msub> <mo>+</mo><mo>…</mo><mo>+</mo><msub> <mi>λ</mi> <mi>m</mi> </msub> <mo>=</mo><mi>n</mi> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> …