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http://hdl.handle.net/2080/4608| Title: | Sums of S-Units in Sum of Terms of Recurrence Sequences |
| Authors: | Bhoi, Pritam Kumar Rout, Sudhansu Sekhar Panda, Gopal Krishna |
| Keywords: | Recurrence Sequences Sum S-Units |
| Issue Date: | Jun-2024 |
| Citation: | International Conference on Lie Algebra and Number Theory (ICLANT), NIT Calicut, India, 10-14 June 2024 |
| Abstract: | Let S := fp1; : : : ; p`g be a finite set of primes and denote by US the set of all rational integers whose prime factors are all in S. Let (Un)n_0 be a nondegenerate linear recurrence sequence with order at least two. In this paper, we provide a finiteness result for the solutions of the Diophantine equation aUn + bUm = z1 + _ _ _ + zr; where n _ m and z1; : : : ; zr 2 US. |
| Description: | Copyright belongs to proceeding publisher |
| URI: | http://hdl.handle.net/2080/4608 |
| Appears in Collections: | Conference Papers |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 2024_ICLANT_PKBhoi_Sum.pdf | Presentation | 287.33 kB | Adobe PDF | View/Open Request a copy |
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