Bouazzaoui, Zakariae Fibonacci numbers and real quadratic \(p\)-rational fields. (English) Zbl 07301159 Period. Math. Hung. 81, No. 1, 123-133 (2020). Reviewer: Thomas Ernst (Uppsala) MSC: 11B39 11M06 20G05 PDF BibTeX XML Cite \textit{Z. Bouazzaoui}, Period. Math. Hung. 81, No. 1, 123--133 (2020; Zbl 07301159) Full Text: DOI
Ait-Amrane, Lyes; Belbachir, Hacène Periods of Tribonacci sequences and elliptic curves. (English) Zbl 1422.11023 Algebra Discrete Math. 25, No. 1, 1-17 (2018). MSC: 11B39 11B50 11G05 PDF BibTeX XML Cite \textit{L. Ait-Amrane} and \textit{H. Belbachir}, Algebra Discrete Math. 25, No. 1, 1--17 (2018; Zbl 1422.11023)
Deveci, Ömür; Karaduman, Erdal; Campbell, Colin M. On the \(k\)-nacci sequences in finite binary polyhedral groups. (English) Zbl 1297.20032 Algebra Colloq. 18, Spec. Iss. 1, 945-954 (2011). MSC: 20F05 20D60 11B39 PDF BibTeX XML Cite \textit{Ö. Deveci} et al., Algebra Colloq. 18, 945--954 (2011; Zbl 1297.20032) Full Text: DOI
Deveci, Ömür; Karaduman, Erdal; Campbell, Colin M. The periods of \(k\)-nacci sequences in centro-polyhedral groups and related groups. (English) Zbl 1240.20041 Ars Comb. 97A, 193-210 (2010). MSC: 20F05 20D60 11B39 PDF BibTeX XML Cite \textit{Ö. Deveci} et al., Ars Comb. 97A, 193--210 (2010; Zbl 1240.20041)
Kilger, Kilian The conjecture of Chan-Chua and the combinatorics of winding elements. (Die Vermutung von Chan-Chua und die Kombinatorik von Windungselementen.) (German) Zbl 1211.11055 Heidelberg: Univ. Heidelberg, Naturwissenschaftlich-Mathematische Gesamtfakultät (Diss.). 138 p. (2010). MSC: 11F27 11F67 11F11 11E25 11B39 11B73 PDF BibTeX XML Cite \textit{K. Kilger}, Die Vermutung von Chan-Chua und die Kombinatorik von Windungselementen. Heidelberg: Univ. Heidelberg, Naturwissenschaftlich-Mathematische Gesamtfakultät (Diss.) (2010; Zbl 1211.11055) Full Text: Link
Guo, Chuya; Koch, Alan Bounds for Fibonacci period growth. (English) Zbl 1225.11020 Involve 2, No. 2, 195-210 (2009). MSC: 11B39 11B50 PDF BibTeX XML Cite \textit{C. Guo} and \textit{A. Koch}, Involve 2, No. 2, 195--210 (2009; Zbl 1225.11020) Full Text: DOI Link
Coleman, Deidra A.; Dugan, Christopher J.; McEwen, Robert A.; Reiter, Clifford A.; Tang, Tran T. Periods of \((q,r)\)-Fibonacci sequences and elliptic curves. (English) Zbl 1133.11009 Fibonacci Q. 44, No. 1, 59-70 (2006). MSC: 11B39 11B50 11G05 PDF BibTeX XML Cite \textit{D. A. Coleman} et al., Fibonacci Q. 44, No. 1, 59--70 (2006; Zbl 1133.11009)
Pla, Juan On periods modulo a prime of some classes of sequences of integers. (English) Zbl 0873.11012 Fibonacci Q. 35, No. 1, 54-56 (1997). Reviewer: J.Piehler (Merseburg) MSC: 11B37 11B39 11B50 PDF BibTeX XML Cite \textit{J. Pla}, Fibonacci Q. 35, No. 1, 54--56 (1997; Zbl 0873.11012)
Burger, Edward B.; Kollett, Christopher S. On the structure of quadratic irrationals associated with generalized Fibonacci and Lucas numbers. (English) Zbl 0862.11006 Fibonacci Q. 34, No. 3, 200-212 (1996). Reviewer: G.Köhler (Würzburg) MSC: 11A55 11J70 11B39 PDF BibTeX XML Cite \textit{E. B. Burger} and \textit{C. S. Kollett}, Fibonacci Q. 34, No. 3, 200--212 (1996; Zbl 0862.11006)
Hirst, K. E. Continued fractions for \(\sqrt d\) with constant partial quotients. (English) Zbl 0880.11011 Int. J. Math. Educ. Sci. Technol. 26, No. 2, 205-211 (1995). MSC: 11A55 11B39 PDF BibTeX XML Cite \textit{K. E. Hirst}, Int. J. Math. Educ. Sci. Technol. 26, No. 2, 205--211 (1995; Zbl 0880.11011) Full Text: DOI
Devaney, Robert L. The fractal geometry of the Mandelbrot set. II: How to count and how to add. (English) Zbl 0929.37016 Fractals 3, No. 4, 629-640 (1995). Reviewer: Messoud Efendiev (Berlin) MSC: 37F45 37F20 30D05 PDF BibTeX XML Cite \textit{R. L. Devaney}, Fractals 3, No. 4, 629--640 (1995; Zbl 0929.37016) Full Text: DOI
Dikici, R.; Smith, G. C. Recurrences in finite groups. (English) Zbl 0866.11011 Turk. J. Math. 19, No. 3, 321-329 (1995). Reviewer: Péter Kiss (Eger) MSC: 11B39 20D60 20D15 PDF BibTeX XML Cite \textit{R. Dikici} and \textit{G. C. Smith}, Turk. J. Math. 19, No. 3, 321--329 (1995; Zbl 0866.11011)
Reiter, Clifford A. Fibonacci numbers: Reduction formulas and short periods. (English) Zbl 0783.11008 Fibonacci Q. 31, No. 4, 315-324 (1993). Reviewer: P.Kiss (Eger) MSC: 11B39 11B50 PDF BibTeX XML Cite \textit{C. A. Reiter}, Fibonacci Q. 31, No. 4, 315--324 (1993; Zbl 0783.11008)
Choie, YoungJu Rational period functions, class numbers, and diophantine equations. (English) Zbl 0756.11010 J. Number Theory 42, No. 2, 158-188 (1992). Reviewer: M.I.Knopp (Philadelphia) MSC: 11F11 11R29 11F67 11R11 11D09 PDF BibTeX XML Cite \textit{Y. Choie}, J. Number Theory 42, No. 2, 158--188 (1992; Zbl 0756.11010) Full Text: DOI
Somer, Lawrence Possible restricted periods of certain Lucas sequences modulo \(p\). (English) Zbl 0747.11010 Applications of Fibonacci numbers. Vol. 4, Proc. 4th Int. Conf., Winston- Salem/NC (USA) 1990, 289-298 (1991). Reviewer: G.Philippou (Nicosia) MSC: 11B39 11B50 PDF BibTeX XML
Jacobson, Elliot A brief survey on distribution questions for second order linear recurrences. (English) Zbl 0694.10012 Number theory, Proc. 1st Conf. Can. Number Theory Assoc., Banff/Alberta (Can.) 1988, 249-254 (1990). Reviewer: R.F.Tichy MSC: 11B37 PDF BibTeX XML
Bruggeman, Roelof W. Eisenstein series and the distribution of Dedekind sums. (English) Zbl 0655.10026 Math. Z. 202, No. 2, 181-198 (1989). Reviewer: R.W.Bruggeman MSC: 11F11 11B39 11F67 PDF BibTeX XML Cite \textit{R. W. Bruggeman}, Math. Z. 202, No. 2, 181--198 (1989; Zbl 0655.10026) Full Text: DOI EuDML
Goss, David The arithmetic of function fields. II: The ’cyclotomic’ theory. (English) Zbl 0516.12010 J. Algebra 81, 107-149 (1983). MSC: 11R58 11R18 14G10 11R42 11S40 11R27 11R39 11F67 11F11 11M06 14G99 14L05 14H05 14G15 14H25 11B39 11R04 11R37 PDF BibTeX XML Cite \textit{D. Goss}, J. Algebra 81, 107--149 (1983; Zbl 0516.12010) Full Text: DOI
Kapur, J. N. Generalized Fibonacci numbers modulo p. (English) Zbl 0598.10024 Math. Stud. 43(1982), 401-417 (1975). Reviewer: O.Ninnemann MSC: 11B37 65A05 PDF BibTeX XML Cite \textit{J. N. Kapur}, Math. Stud. 43, 401--417 (1982; Zbl 0598.10024)
Allard, A.; Lecomte, P. Periods and entry points in Fibonacci sequence. (English) Zbl 0401.10014 Fibonacci Q. 17, 51-57 (1979). MSC: 11B37 PDF BibTeX XML Cite \textit{A. Allard} and \textit{P. Lecomte}, Fibonacci Q. 17, 51--57 (1979; Zbl 0401.10014)
Herget, W. Minimum periods modulo n for Bernoulli numbers. (English) Zbl 0397.10007 Fibonacci Q. 16, 544-548 (1978). MSC: 11B39 PDF BibTeX XML Cite \textit{W. Herget}, Fibonacci Q. 16, 544--548 (1978; Zbl 0397.10007)
Katayama, Koji On the values of Eisenstein series. (English) Zbl 0391.10022 Tokyo J. Math. 1, 157-188 (1978). MSC: 11F11 11F67 11B39 11R42 11G15 PDF BibTeX XML Cite \textit{K. Katayama}, Tokyo J. Math. 1, 157--188 (1978; Zbl 0391.10022) Full Text: DOI
Brousseau, Brother Alfred Relation of zeros to periods in the Fibonacci sequence modulo a prime. (English) Zbl 0135.09101 Am. Math. Mon. 71, 897-899 (1964). Reviewer: A. Rotkiewicz MSC: 11B39 PDF BibTeX XML Cite \textit{B. A. Brousseau}, Am. Math. Mon. 71, 897--899 (1964; Zbl 0135.09101) Full Text: DOI