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math.NT2016
Asymptotic formulas for general colored partition functions
Yong-Gao Chen, Ya-Li Li
In 1917, Hardy and Ramanujan obtained the asymptotic formula for the classical partition function . The classical partition function has been extensively studied. Rece…
math.NT2016
On consecutive abundant numbers
Yong-Gao Chen, Hui Lv
A positive integer is called an abundant number if , where is the sum of all positive divisors of . Let be the largest number of consecutive abunda…