On Conjectures Concerning the Smallest Part and Missing Parts of Integer Partitions

Damanvir Singh Binner, Amarpreet Rattan

For positive integers $s$ and $L\ge 3$, Berkovich and Uncu (Ann. Comb. $23$ ($2019$) $263$--$284$) conjectured an inequality between the sizes of two closely related sets of part…