552 citations
- Zhejiang UniversityCN39 papers
- Zhejiang University of Science and TechnologyCN20 papers
- Chinese Academy of SciencesCN19 papers
- Tsinghua UniversityCN16 papers
- East China Jiaotong UniversityCN15 papers
- Shanxi UniversityCN12 papers
- University of Science and Technology of ChinaCN12 papers
- Hunan Normal UniversityCN10 papers
- State Key Laboratory of Quantum Optics and Quantum Optics Devices10 papers
- Institute of Theoretical PhysicsCN9 papers
- National Research University Higher School of EconomicsRU9 papers
- RIKENJP9 papers
16 papers · 1 filter
Sylvester sums on the Frobenius set in arithmetic progression with initial gaps
Takao Komatsu
Let be positive integers with . Frobenius number is the largest positive integer that is NOT representable in terms of $a_1,a_2,\dots…
The Frobenius number for sequences of triangular numbers associated with number of solutions
Takao Komatsu
The famous linear diophantine problem of Frobenius is the problem to determine the largest integer (Frobenius number) whose number of representations in terms of is…
Generalized hypergeometric Bernoulli numbers
Kalyan Chakraborty, Takao Komatsu
We introduce generalized hypergeometric Bernoulli numbers for Dirichlet characters. We study their properties, including relations, expressions and determinants. At the end in Appe…
Stirling numbers with level and poly-Bernoulli numbers with level
Takao Komatsu
In this paper, we introduce poly-Bernoulli numbers with level , related to the Stirling numbers of the second kind with level , and study several properties of poly-Bernoulli…
Summation formulas of hyperharmonic numbers with their generalizations II
Takao Komatsu, Rusen Li
In 1990, Spieß\, gave some identities of harmonic numbers including the types of , and $\sum_{\ell=1}^n\ell^k H_\el…
Summation formulas of -hyperharmonic numbers
Takao Komatsu, Rusen Li
In this paper, several weighted summation formulas of -hyperharmonic numbers are derived. As special cases, several formulas of hyperharmonic numbers of type $\sum_{\ell=1}^{n}…