11 Number theory
11Bxx Sequences and sets (1 articles)
11B37 Recurrences (25 articles)
- : On generalized bihyperbolic Mersenne numbers. (English). Mathematica Bohemica, vol. 149 (2024), issue 1, pp. 75-85
- : Lucas sequences and repdigits. (English). Mathematica Bohemica, vol. 147 (2022), issue 3, pp. 301-318
- : On some combinatorial properties of generalized commutative Jacobsthal quaternions and generalized commutative Jacobsthal-Lucas quaternions. (English). Czechoslovak Mathematical Journal, vol. 72 (2022), issue 4, pp. 1239-1248
- : Bihyperbolic numbers of the Fibonacci type and their idempotent representation. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 62 (2021), issue 4, pp. 409-416
- : On a generalization of the Pell sequence. (English). Mathematica Bohemica, vol. 146 (2021), issue 2, pp. 199-213
- : On Balancing and Lucas-balancing Quaternions. (English). Communications in Mathematics, vol. 29 (2021), issue 3, pp. 325-341
- : Convolution of second order linear recursive sequences II. (English). Communications in Mathematics, vol. 25 (2017), issue 2, pp. 137-148
- : Linear recurrence sequences without zeros. (English). Czechoslovak Mathematical Journal, vol. 64 (2014), issue 3, pp. 857-865
- : On the Diophantine equation $x^{2}-kxy+y^{2}-2^{n}=0$. (English). Czechoslovak Mathematical Journal, vol. 63 (2013), issue 3, pp. 783-797
- : Noncirculant Toeplitz matrices all of whose powers are Toeplitz. (English). Czechoslovak Mathematical Journal, vol. 58 (2008), issue 4, pp. 1185-1193
- : Bounds for frequencies of residues of second-order recurrences modulo $p^r$. (English). Mathematica Bohemica, vol. 132 (2007), issue 2, pp. 137-175
- : Square-free Lucas $d$-pseudoprimes and Carmichael-Lucas numbers. (English). Czechoslovak Mathematical Journal, vol. 57 (2007), issue 1, pp. 447-463
- : Common terms in binary recurrences. (English). Acta Mathematica Universitatis Ostraviensis, vol. 14 (2006), issue 1, pp. 57-61
- : Iterated digit sums, recursions and primality. (English). Acta Mathematica Universitatis Ostraviensis, vol. 14 (2006), issue 1, pp. 27-35
- : Distribution properties of digital expansions arising from linear recurrences. (English). Mathematica Slovaca, vol. 53 (2003), issue 1, pp. 1-20
- : Sequence transformations and linear recurrences of higher order. (English). Acta Mathematica et Informatica Universitatis Ostraviensis, vol. 9 (2001), issue 1, pp. 45-51
- : A note on pseudoprimes with respect to abelian linear recurring sequence. (English). Mathematica Slovaca, vol. 46 (1996), issue 2, pp. 173-176
- : Pure powers and power classes in recurrence sequences. (English). Mathematica Slovaca, vol. 44 (1994), issue 5, pp. 525-529
- : Stirling distributions and Stirling numbers of the second kind. Computational problems in statistics. (English). Kybernetika, vol. 30 (1994), issue 3, pp. 279-288
- : On reciprocal sums of terms of linear recurrences. (English). Mathematica Slovaca, vol. 43 (1993), issue 1, pp. 31-37
- : Polynomials of the form $g(x\sp k)$ and pseudoprimes with respect to linear recurring sequences. (English). Mathematica Slovaca, vol. 42 (1992), issue 5, pp. 621-639
- : Results on the ratios of the terms of second order linear recurrences. (English). Mathematica Slovaca, vol. 41 (1991), issue 3, pp. 257-260
- : Second order strong divisibility sequences in an algebraic number field. (English). Archivum Mathematicum, vol. 23 (1987), issue 3, pp. 181-186
- : On a conjecture concerning sequences of the third order. (English). Mathematica Slovaca, vol. 36 (1986), issue 1, pp. 85-89
- : A purely number theoretic attempt to prove Picard's theorems. (English). Archivum Mathematicum, vol. 22 (1986), issue 1, pp. 1-6
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