On infinite disjoint covering systems
On infinite disjoint covering systems
The structure of all infinite incongruent disjoint covering systems (IIDCS) whose moduli are divisible by no prime <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="greater-than 3"> <mml:semantics> <mml:mrow> <mml:mo>></mml:mo> <mml:mn>3</mml:mn> </mml:mrow> <mml:annotation encoding="application/x-tex">> 3</mml:annotation> </mml:semantics> </mml:math> </inline-formula> is given. It is then shown that this structure characterizes the subset of IIDCS for which …