K. Alladi first observed a variant of I. Schur’s 1926 partition theorem. Namely, the number of partitions of n in which all parts are odd and none appears more than twice equals the number of partitions of n in which all parts differ by at least 3 and more than 3 if one of the parts is a multiple of 3. In this paper, we refine this result to one that counts the number of parts in the relevant partitions.
|Original language||English (US)|
|Title of host publication||Developments in Mathematics|
|Publisher||Springer New York LLC|
|Number of pages||7|
|State||Published - Jan 1 2019|
|Name||Developments in Mathematics|
All Science Journal Classification (ASJC) codes