有限域上广义Markoff-Hurwitz-type方程的有理点个数(The number of solutions of generalized Markoff-Hurwitz-type equations over finite fields)
Let Nq denote the number of solutions of the generalized Markoff-Hurwitz-type equations over the finite field , where n≥2, mi, k, kj and t≥n are positive integers, ai, , for 1≤i≤n and 1≤j≤t. Recently, some researches considered the above equation with k = k1 = … = kt = 1 and obtained some generaliz...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | zho |
| Published: |
Zhejiang University Press
2017-09-01
|
| Series: | Zhejiang Daxue xuebao. Lixue ban |
| Subjects: | |
| Online Access: | https://doi.org/10.3785/j.issn.1008-9497.2017.05.003 |
| _version_ | 1797235798851977216 |
|---|---|
| author | HUShuangnian(胡双年) LIYanyan(李艳艳) |
| author_facet | HUShuangnian(胡双年) LIYanyan(李艳艳) |
| author_sort | HUShuangnian(胡双年) |
| collection | DOAJ |
| description | Let Nq denote the number of solutions of the generalized Markoff-Hurwitz-type equations over the finite field , where n≥2, mi, k, kj and t≥n are positive integers, ai, , for 1≤i≤n and 1≤j≤t. Recently, some researches considered the above equation with k = k1 = … = kt = 1 and obtained some generalizations of Carlitz's results. In this paper, we determine Nq explicitly in some other cases. This extends the previous conclusions. |
| first_indexed | 2024-04-24T16:53:41Z |
| format | Article |
| id | doaj.art-54c975cc86184bdeadac5ebca7506456 |
| institution | Directory Open Access Journal |
| issn | 1008-9497 |
| language | zho |
| last_indexed | 2024-04-24T16:53:41Z |
| publishDate | 2017-09-01 |
| publisher | Zhejiang University Press |
| record_format | Article |
| series | Zhejiang Daxue xuebao. Lixue ban |
| spelling | doaj.art-54c975cc86184bdeadac5ebca75064562024-03-29T01:58:37ZzhoZhejiang University PressZhejiang Daxue xuebao. Lixue ban1008-94972017-09-0144551651910.3785/j.issn.1008-9497.2017.05.003有限域上广义Markoff-Hurwitz-type方程的有理点个数(The number of solutions of generalized Markoff-Hurwitz-type equations over finite fields)HUShuangnian(胡双年)0https://orcid.org/0000-0002-5174-8460LIYanyan(李艳艳)1( 1.School of Mathematics and Statistics, Nanyang Institute of Technology, Nanyang 473004, Henan Province, China)( 3.School of Electronic and Electrical Engineering, Nanyang Institute of Technology, Nanyang 473004, Henan Province, China)Let Nq denote the number of solutions of the generalized Markoff-Hurwitz-type equations over the finite field , where n≥2, mi, k, kj and t≥n are positive integers, ai, , for 1≤i≤n and 1≤j≤t. Recently, some researches considered the above equation with k = k1 = … = kt = 1 and obtained some generalizations of Carlitz's results. In this paper, we determine Nq explicitly in some other cases. This extends the previous conclusions.https://doi.org/10.3785/j.issn.1008-9497.2017.05.003finite fieldrational pointmarkoff-hurwitz-type equations |
| spellingShingle | HUShuangnian(胡双年) LIYanyan(李艳艳) 有限域上广义Markoff-Hurwitz-type方程的有理点个数(The number of solutions of generalized Markoff-Hurwitz-type equations over finite fields) Zhejiang Daxue xuebao. Lixue ban finite field rational point markoff-hurwitz-type equations |
| title | 有限域上广义Markoff-Hurwitz-type方程的有理点个数(The number of solutions of generalized Markoff-Hurwitz-type equations over finite fields) |
| title_full | 有限域上广义Markoff-Hurwitz-type方程的有理点个数(The number of solutions of generalized Markoff-Hurwitz-type equations over finite fields) |
| title_fullStr | 有限域上广义Markoff-Hurwitz-type方程的有理点个数(The number of solutions of generalized Markoff-Hurwitz-type equations over finite fields) |
| title_full_unstemmed | 有限域上广义Markoff-Hurwitz-type方程的有理点个数(The number of solutions of generalized Markoff-Hurwitz-type equations over finite fields) |
| title_short | 有限域上广义Markoff-Hurwitz-type方程的有理点个数(The number of solutions of generalized Markoff-Hurwitz-type equations over finite fields) |
| title_sort | 有限域上广义markoff hurwitz type方程的有理点个数 the number of solutions of generalized markoff hurwitz type equations over finite fields |
| topic | finite field rational point markoff-hurwitz-type equations |
| url | https://doi.org/10.3785/j.issn.1008-9497.2017.05.003 |
| work_keys_str_mv | AT hushuangnianhúshuāngnián yǒuxiànyùshàngguǎngyìmarkoffhurwitztypefāngchéngdeyǒulǐdiǎngèshùthenumberofsolutionsofgeneralizedmarkoffhurwitztypeequationsoverfinitefields AT liyanyanlǐyànyàn yǒuxiànyùshàngguǎngyìmarkoffhurwitztypefāngchéngdeyǒulǐdiǎngèshùthenumberofsolutionsofgeneralizedmarkoffhurwitztypeequationsoverfinitefields |