5 citations · 8 across the 8 of their papers we have counts for
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The Explicit Formula and Parity for Some Generalized Euler Functions
Shichun Yang, Qunying Liao, Shan Du +1
Based on elementary methods and techniques, the explicit formula for the generalized Euler function is given, and then a sufficient and necessary condition for $…
Vinogradov three prime theorem with Piatetski-Shapiro primes
Yu-Chen Sun, Shanshan Du, Hao Pan
We prove that, for any , every sufficiently large odd number can be represented as the sum of three primes such that $p_i = \lfloo…
On the generalized restricted sumsets in abelian groups
Shanshan Du, Hao Pan
Suppose that , and are non-empty subsets of a finite abelian group . Then the generalized restricted sumset $$ A\stackrel{S}+B:=\{a+b:\,a\in A,\ b\in B,\ a-b\not\in S…
A generalization of Frieman's 3k-3 theorem
Shanshan Du, Hao Pan
We prove a generalization of Frieman's theorem for the sumset $$ Σ^{l}(A_1,\ldots,A_k)=\{a_{j_{1}}+\cdots+a_{j_{l}}:\,1\leq j_{1}<\cdots<j_{l}\leq k,\ a_{j_{s}}\in A_{j_{s}}…