Arithmetic theory of harmonic numbers
By Zhi-Wei Sun. 2012
67 citations recorded by the source corpus.
For k = 1; 2;::: let Hk denote the harmonic number P k=1 1=j. In this paper we establish some new congruences involving harmonic num- bers. For example, we show that for any prime p > 3 we have p 1 X k=1
Subfields: Algebra and Number Theory, Applied Mathematics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/7d79a72d35601dec8ad83a7b7689723b0e83ad22
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Algebra and Number Theory
In Applied Mathematics
In Geometry and Topology
Citations in the corpus
- Conjectures involving arithmetical sequences (2012, background): “Some fundamental congruences on harmonic numbers can be found in [29].”