On Y-coordinates of Pell equations which are base 2 rep-digits
In this paper, we show that if (Xk,Yk) is the kth solution of the Pell equation X2-dY2=1 for some non-square integer d>1, then the equation Yk=2n-1 has at most two positive integer solutions (k,n).
| Permalink: | http://skupni.nsk.hr/Record/nsk.NSK01001098350/Details |
|---|---|
| Matična publikacija: |
Glasnik matematički (Online) 55 (2020), 1 ; str. 1-12 |
| Glavni autori: | Faye-Fall, Bernadette (Author), Luca, Florian |
| Vrsta građe: | e-članak |
| Jezik: | eng |
| Predmet: | |
| Online pristup: |
https://doi.org/10.3336/gm.55.1.01 Hrčak |
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| 007 | cr|||||||||||| | ||
| 008 | 210420s2020 ci |o |0|| ||eng | ||
| 024 | 7 | |2 doi |a 10.3336/gm.55.1.01 | |
| 035 | |a (HR-ZaNSK)001098350 | ||
| 040 | |a HR-ZaNSK |b hrv |c HR-ZaNSK |e ppiak | ||
| 041 | 0 | |a eng |b eng | |
| 042 | |a croatica | ||
| 044 | |a ci |c hr | ||
| 080 | 1 | |a 51 |2 2011 | |
| 100 | 1 | |a Faye-Fall, Bernadette |4 aut |9 HR-ZaNSK | |
| 245 | 1 | 0 | |a On Y-coordinates of Pell equations which are base 2 rep-digits |h [Elektronička građa] / |c Bernadette Faye-Fall, Florian Luca. |
| 504 | |a Bibliografske bilješke na kraju teksta. | ||
| 504 | |a Abstract. | ||
| 520 | |a In this paper, we show that if (Xk,Yk) is the kth solution of the Pell equation X2-dY2=1 for some non-square integer d>1, then the equation Yk=2n-1 has at most two positive integer solutions (k,n). | ||
| 653 | 0 | |a Pellova jednadžba |a Eksponencijalne jednadžbe |a Diofantske jednadžbe | |
| 700 | 1 | |a Luca, Florian |4 aut | |
| 773 | 0 | |t Glasnik matematički (Online) |x 1846-7989 |g 55 (2020), 1 ; str. 1-12 |w nsk.(HR-ZaNSK)000659858 | |
| 981 | |b Be2020 |b B03/20 | ||
| 998 | |b tino2106 | ||
| 856 | 4 | 0 | |u https://doi.org/10.3336/gm.55.1.01 |
| 856 | 4 | 0 | |u https://hrcak.srce.hr/239038 |y Hrčak |
| 856 | 4 | 1 | |y Digitalna.nsk.hr |