| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4582793 | Finite Fields and Their Applications | 2015 | 6 Pages |
Abstract
Let m>2m>2 and q>0q>0 be integers with m even or q odd. We show the supercongruence∑k=0p−1(−1)km(p/m−qk)m≡0(modp3) for any prime p>mqp>mq. This confirms a conjecture of Sun.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Xiang-Zi Meng, Zhi-Wei Sun,