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- Li-Lu Zhao, Hao Pan, Zhi-Wei Sun, ZHI-WEI SUN
- 2009

Let p be any odd prime. We mainly show that p−1

- Li-Lu Zhao
- 2011

For k = 0, 1, 2,. .. let H k denote the harmonic number 0<jk 1/j. In this paper we establish some new congruences involving harmonic numbers. For example, we show that for any prime p > 3 we have p−1 k=1

- Zhi-Wei Sun, Li-Lu Zhao
- 2013

For k = 1, 2,. .. let H k denote the harmonic number k j=1 1/j. In this paper we establish some new congruences involving harmonic numbers. For example, we show that for any prime p > 3 we have p−1 k=1

The famous Erd˝ os-Heilbronn conjecture plays an important role in the development of additive combinatorics. In 2007 Z. W. Sun made the following further conjecture (which is the linear extension of the Erd˝ os-Heilbronn conjecture): For any finite subset A of a field F and nonzero elements a where p(F) is the additive order of the multiplicative identity… (More)

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