The Pell equation over the $\circ$-Fibonacci ring
Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 22, Tome 350 (2007), pp. 139-159 Cet article a éte moissonné depuis la source Math-Net.Ru

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     title = {The {Pell} equation over the $\circ${-Fibonacci} ring},
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V. G. Zhuravlev. The Pell equation over the $\circ$-Fibonacci ring. Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 22, Tome 350 (2007), pp. 139-159. http://geodesic.mathdoc.fr/item/ZNSL_2007_350_a7/

[1] Yu. V. Matiyasevich, “Svyaz sistem uravnenii v slovakh i dlinakh s 10-i problemoi Gilberta”, Zap. nauchn. semin. LOMI, 8, 1968, 132–144 | Zbl

[2] Yu. V. Matiyasevich, “Dve reduktsii 10-i problemy Gilberta”, Zap. nauchn. semin. LOMI, 8, 1968, 145–158 | Zbl

[3] V. G. Zhuravlev, “Summy kvadratov nad $\circ$-koltsom Fibonachchi”, Zap. nauchn. semin. POMI, 337, 2006, 165–190 | MR | Zbl

[4] D. E. Knuth, “Fibonacci multiplication”, Appl. Math. Lett., 1 (1988), 57–60 | DOI | MR | Zbl

[5] V. G. Zhuravlev, “Odnomernye kvazireshetki Fibonachchi i ikh prilozheniya k dofantovym uravneniyam i algoritmu Evklida”, Algebra i analiz, 19:3 (2007), 151–182 | MR

[6] V. G. Zhuravlev, “Giperboly nad dvumernymi kvazireshetkami Fibonachchi”, Diofantovy i analiticheskie problemy teorii chisel, Tr. Mezhdun. konf., posvyaschennoi 100 letiyu so dnya rozhdeniya A. O. Gelfonda, MGU, M., 2007 (to appear)

[7] Z. I. Borevich, I. R. Shafarevich, Teoriya chisel, M., 1985 | MR