3 papers
math.CO2026
On Glaisher's Partition Theorem
George E. Andrews, Aritram Dhar
Glaisher's theorem states that the number of partitions of into parts which repeat at most times is equal to the number of partitions of into parts which are not divi…
math.CO2025
Extending Andrews and Newman's refinement of the crank-mex theorem
George E. Andrews, Brian Hopkins
The crank-mex theorem states that the number of integer partitions of with nonnegative crank equals the number with odd minimal excludant (mex). Andrews and M. Newman recently…
math.CO2025
On Euler's Theorem
George E. Andrews, Rahul Kumar, Ae Ja Yee
Euler's theorem asserts that where is the number of partitions of into distinct parts and is the number of partitions of into odd parts. In this p…