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Powers in arithmetic progressions(2) (解析的整数論の新しい展開 研究集会報告集)
| Content Provider | Semantic Scholar |
|---|---|
| Author | Shorey, Tarlok Nath |
| Copyright Year | 2002 |
| Abstract | We refer to survey papers Shorey $(1999, 2002)$ for an account of the topics under discussion. This article may be considered as acontinuation of section 2of Shorey (2002). An exhaustive list of references is enclosed at the end. Apaper which is not yet published is referred as (2003). Ishall restrict only to squares in arithmetic progressions in my talk. Ishall divide this talk in two sections. The first section is on consecutive integers. Observe that consecutive integers are arithmetic progressions with common difference one. Ishall consider arithmetic progressions with common difference greater than one in section 2. First, we introduce some notation. For an integer $\nu>1$ , we denote by $P(\nu)$ and $\omega(\nu)$ the greatest prime factor and the number of distinct prime divisors of $\nu$ , respectively. Further we put $P(1)=1$ and $\omega(1)=0.$ Let |
| Starting Page | 202 |
| Ending Page | 214 |
| Page Count | 13 |
| File Format | PDF HTM / HTML |
| Volume Number | 1274 |
| Alternate Webpage(s) | http://www.kurims.kyoto-u.ac.jp/~kyodo/kokyuroku/contents/pdf/1274-24.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
