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- Chinese Academy of SciencesCN26 papers
- Purple Mountain ObservatoryCN25 papers
- Nanjing Normal UniversityCN9 papers
- National Astronomical ObservatoriesCN8 papers
- University of Hong KongHK8 papers
- International Centre for Materials PhysicsCN7 papers
- National Astronomical Observatory of JapanJP7 papers
- Collaborative Innovation Center of Advanced MicrostructuresCN6 papers
- Oak Ridge National LaboratoryUS6 papers
- University of Tennessee at KnoxvilleUS6 papers
- National Laboratory of Solid State Microstructures5 papers
- Los Alamos National LaboratoryUS4 papers
4 papers · 2 filters
A variant of Tao's method with application to restricted sumsets
Song Guo, Zhi-Wei Sun
In this paper, we develop Terence Tao's harmonic analysis method and apply it to restricted sumsets. The well known Cauchy-Davenport theorem asserts that if and are nonempt…
A Schur-type addition theorem for primes
Hongze Li, Hao Pan
Suppose that all primes are colored with k colors. Then there exist monochromatic primes p1, p2, p3 such that p1+p2=p3+1.
Mixed sums of squares and triangular numbers (III)
Byeong-Kweon Oh, Zhi-Wei Sun
In this paper we confirm a conjecture of Sun which states that each positive integer is a sum of a square, an odd square and a triangular number. Given any positive integer m, we s…
On sums of primes and triangular numbers
Zhi-Wei Sun
We study whether sufficiently large integers can be written in the form cp+T_x, where p is either zero or a prime congruent to r mod d, and T_x=x(x+1)/2 is a triangular number. We…