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math.NT2019
A Generalization of A Result of Gauss on Primitive Root
Hao Zhong, Tianxin Cai
A primitive root modulo an integer is the generator of the multiplicative group of integers modulo . Gauss proved that for any prime number greater than , the sum of…
math.CO2019
Bijections between t-Core Partitions and t-Tuples
Hao Zhong
This note introduces some bijections relating core partitions and tuples of integers. We apply these bijections to count the number of cores with various types of restriction, incl…