1 citations · 1 across the 4 of their papers we have counts for
5 papers
The restricted sumsets in finite abelian groups
Shanshan Du, Hao Pan
Suppose that and is a non-empty subset of a finite abelian group with . Then the cardinality of the restricted sumset $$ k^\wedge A:=\{a_1+\cdots+a_k:\,a_1…
The Explicit Formula and Parity for Some Generalized Euler Functions
Shichun Yang, Qunying Liao, Shan Du +1
Based on elementary methods and techniques, the explicit formula for the generalized Euler function is given, and then a sufficient and necessary condition for $…
Vinogradov three prime theorem with Piatetski-Shapiro primes
Yu-Chen Sun, Shanshan Du, Hao Pan
We prove that, for any , every sufficiently large odd number can be represented as the sum of three primes such that $p_i = \lfloo…
On the number of three-term arithmetic progressions in a dense subset of
Shanshan Du, Hao Pan
Let be an odd prime power. Combining the discussion of Varnavides and a recent theorem of Ellenberg and Gijswijt, we show that a subset will contain m…
On the generalized restricted sumsets in abelian groups
Shanshan Du, Hao Pan
Suppose that , and are non-empty subsets of a finite abelian group . Then the generalized restricted sumset $$ A\stackrel{S}+B:=\{a+b:\,a\in A,\ b\in B,\ a-b\not\in S…