| Autor: |
Kim Byungchan, Kim Ji Young, Lee Chong Gyu, Lee Sang June, Park Poo-Sung, Park Yoon Kyung |
| Jazyk: |
angličtina |
| Rok vydání: |
2023 |
| Předmět: |
|
| Zdroj: |
Open Mathematics, Vol 21, Iss 1, Pp 435-441 (2023) |
| Druh dokumentu: |
article |
| ISSN: |
2391-5455 |
| DOI: |
10.1515/math-2023-0134 |
| Popis: |
We investigate when there is a partition of a positive integer nn, n=f(λ1)+f(λ2)+⋯+f(λℓ),n=f\left({\lambda }_{1})+f\left({\lambda }_{2})+\cdots +f\left({\lambda }_{\ell }), satisfying that 1=χp(λ1)λ1+χp(λ2)λ2+⋯+χp(λℓ)λℓ,1=\frac{{\chi }_{p}\left({\lambda }_{1})}{{\lambda }_{1}}+\frac{{\chi }_{p}\left({\lambda }_{2})}{{\lambda }_{2}}+\cdots +\frac{{\chi }_{p}\left({\lambda }_{\ell })}{{\lambda }_{\ell }}, where χp{\chi }_{p} is the Legendre symbol modulo prime pp and f(k)=kf\left(k)=k or the kkth mm-gonal number with m=3m=3, 4, or 5. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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