Alahmadi, Adel; Luca, Florian On repunit Cullen numbers. (English) Zbl 1498.11101 Bull. Aust. Math. Soc. 106, No. 2, 264-268 (2022). Reviewer: Sajad Salami (Rio de Janeiro) MSC: 11D61 PDFBibTeX XMLCite \textit{A. Alahmadi} and \textit{F. Luca}, Bull. Aust. Math. Soc. 106, No. 2, 264--268 (2022; Zbl 1498.11101) Full Text: DOI
Luca, Florian; Riffaut, Antonin Linear independence of powers of singular moduli of degree three. (English) Zbl 1451.11069 Bull. Aust. Math. Soc. 99, No. 1, 42-50 (2019). Reviewer: Mahadi Ddamulira (Saarbrücken) MSC: 11J20 11F03 11J61 11J86 PDFBibTeX XMLCite \textit{F. Luca} and \textit{A. Riffaut}, Bull. Aust. Math. Soc. 99, No. 1, 42--50 (2019; Zbl 1451.11069) Full Text: DOI arXiv
Luca, Florian; Polanco, Geremías; Zudilin, Wadim A variation on the theme of Nicomachus. (English) Zbl 1410.11079 Bull. Aust. Math. Soc. 97, No. 3, 367-373 (2018). Reviewer: Christophe Ritzenthaler (Marseille) MSC: 11G20 11D25 11B39 PDFBibTeX XMLCite \textit{F. Luca} et al., Bull. Aust. Math. Soc. 97, No. 3, 367--373 (2018; Zbl 1410.11079) Full Text: DOI arXiv
Luca, Florian On polynomials whose roots have rational quotient of differences. (English) Zbl 1435.11061 Bull. Aust. Math. Soc. 96, No. 2, 185-190 (2017). Reviewer: Artūras Dubickas (Vilnius) MSC: 11C08 11R04 11R32 PDFBibTeX XMLCite \textit{F. Luca}, Bull. Aust. Math. Soc. 96, No. 2, 185--190 (2017; Zbl 1435.11061) Full Text: DOI
Luca, Florian; Stănică, Pantelimon Monotonic phinomial coefficients. (English) Zbl 1437.11006 Bull. Aust. Math. Soc. 95, No. 3, 365-372 (2017). MSC: 11A25 11B25 PDFBibTeX XMLCite \textit{F. Luca} and \textit{P. Stănică}, Bull. Aust. Math. Soc. 95, No. 3, 365--372 (2017; Zbl 1437.11006) Full Text: DOI
Luca, Florian; Oyono, Roger; Yalciner, Aynur \(L\)-functions of elliptic curves and binary recurrences. (English) Zbl 1285.11097 Bull. Aust. Math. Soc. 88, No. 3, 509-519 (2013). Reviewer: Jeanine Van Order (Jerusalem) MSC: 11G40 11B39 11N36 PDFBibTeX XMLCite \textit{F. Luca} et al., Bull. Aust. Math. Soc. 88, No. 3, 509--519 (2013; Zbl 1285.11097) Full Text: DOI
Luca, Florian; Pizarro-Madariaga, Amalia Some remarks on the Riemann zeta function and prime factors of numerators of Bernoulli numbers. (English) Zbl 1301.11025 Bull. Aust. Math. Soc. 86, No. 2, 216-223 (2012). MSC: 11B68 11M06 PDFBibTeX XMLCite \textit{F. Luca} and \textit{A. Pizarro-Madariaga}, Bull. Aust. Math. Soc. 86, No. 2, 216--223 (2012; Zbl 1301.11025) Full Text: DOI
García, Victor C.; Luca, Florian; Mejía Huguet, V. Janitzio On sums of Fibonacci numbers modulo \(p\). (English) Zbl 1238.11011 Bull. Aust. Math. Soc. 83, No. 3, 413-419 (2011). Reviewer: Florin Nicolae (Berlin) MSC: 11B39 11B50 PDFBibTeX XMLCite \textit{V. C. García} et al., Bull. Aust. Math. Soc. 83, No. 3, 413--419 (2011; Zbl 1238.11011) Full Text: DOI
Ford, Kevin; Luca, Florian; Shparlinski, Igor E. On the largest prime factor of the Mersenne numbers. (English) Zbl 1178.11061 Bull. Aust. Math. Soc. 79, No. 3, 455-463 (2009). Reviewer: Eira J. Scourfield (Egham) MSC: 11N25 11N36 PDFBibTeX XMLCite \textit{K. Ford} et al., Bull. Aust. Math. Soc. 79, No. 3, 455--463 (2009; Zbl 1178.11061) Full Text: DOI arXiv
Garaev, Moubariz Z.; Luca, Florian; Shparlinski, Igor E. Waring problem with factorials. (English) Zbl 1076.11013 Bull. Aust. Math. Soc. 71, No. 2, 259-264 (2005). Reviewer: N. Robbins (San Francisco) MSC: 11B65 11P05 11L40 PDFBibTeX XMLCite \textit{M. Z. Garaev} et al., Bull. Aust. Math. Soc. 71, No. 2, 259--264 (2005; Zbl 1076.11013) Full Text: DOI
De Koninck, Jean-Marie; Luca, Florian; Shparlinski, Igor E. Powerful numbers in short intervals. (English) Zbl 1173.11346 Bull. Aust. Math. Soc. 71, No. 1, 11-16 (2005). MSC: 11N25 11J13 11N36 PDFBibTeX XMLCite \textit{J.-M. De Koninck} et al., Bull. Aust. Math. Soc. 71, No. 1, 11--16 (2005; Zbl 1173.11346) Full Text: DOI
Luca, Florian On a Diophantine equation. (English) Zbl 0997.11027 Bull. Aust. Math. Soc. 61, No. 2, 241-246 (2000). Reviewer: Edward L.Cohen (Ottawa) MSC: 11D61 11B39 PDFBibTeX XMLCite \textit{F. Luca}, Bull. Aust. Math. Soc. 61, No. 2, 241--246 (2000; Zbl 0997.11027) Full Text: DOI