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math.NT2018
Sequentially congruent partitions and related bijections
Maxwell Schneider, Robert Schneider
We study a curious class of partitions, the parts of which obey an exceedingly strict congruence condition we refer to as "sequential congruence": the th part is congruent to th…
math.NT2018
Digit sums and generating functions
Maxwell Schneider, Robert Schneider
We connect a primitive operation from arithmetic -- summing the digits of a base- integer -- to -series and product generating functions analogous to those in partition theor…