Alahmadi, Adel; Luca, Florian On a question of Witno concerning hypothetical elite primes for Mersenne numbers and repunits. (English) Zbl 1525.11006 Rocky Mt. J. Math. 53, No. 3, 679-683 (2023). Reviewer: Amin Witno (Amman) MSC: 11A15 11A41 PDFBibTeX XMLCite \textit{A. Alahmadi} and \textit{F. Luca}, Rocky Mt. J. Math. 53, No. 3, 679--683 (2023; Zbl 1525.11006) Full Text: DOI Link
Gajdzica, Krystian Discriminants of special quadrinomials. (English) Zbl 1511.11089 Rocky Mt. J. Math. 52, No. 5, 1587-1603 (2022). Reviewer: Isabelle Dubois (Metz) MSC: 11R09 11R29 11Y99 PDFBibTeX XMLCite \textit{K. Gajdzica}, Rocky Mt. J. Math. 52, No. 5, 1587--1603 (2022; Zbl 1511.11089) Full Text: DOI arXiv Link
Bousla, Sid Ali On the least common multiple of binary linear recurrence sequences. (English) Zbl 1487.11004 Rocky Mt. J. Math. 51, No. 5, 1583-1597 (2021). MSC: 11A05 11B39 11B83 11B65 PDFBibTeX XMLCite \textit{S. A. Bousla}, Rocky Mt. J. Math. 51, No. 5, 1583--1597 (2021; Zbl 1487.11004) Full Text: DOI arXiv Link
Kundu, Debanjana; Patel, Vandita Perfect powers that are sums of squares of an arithmetic progression. (English) Zbl 1505.11061 Rocky Mt. J. Math. 51, No. 3, 933-949 (2021). Reviewer: Gökhan Soydan (Bursa) MSC: 11D61 PDFBibTeX XMLCite \textit{D. Kundu} and \textit{V. Patel}, Rocky Mt. J. Math. 51, No. 3, 933--949 (2021; Zbl 1505.11061) Full Text: DOI arXiv
Chakraborty, Kalyan; Hoque, Azizul; Sharma, Richa On the solutions of certain Lebesgue-Ramanujan-Nagell equations. (English) Zbl 1473.11072 Rocky Mt. J. Math. 51, No. 2, 459-471 (2021). Reviewer: Ilker Inam (Bilecik) MSC: 11D41 11D61 11R29 PDFBibTeX XMLCite \textit{K. Chakraborty} et al., Rocky Mt. J. Math. 51, No. 2, 459--471 (2021; Zbl 1473.11072) Full Text: arXiv
Bartz, Jeremiah; Dearden, Bruce; Iiams, Joel E. Classes of gap balancing numbers. (English) Zbl 1482.11021 Rocky Mt. J. Math. 51, No. 2, 399-411 (2021). Reviewer: Ahmet Tekcan (Bursa) MSC: 11B39 11B83 PDFBibTeX XMLCite \textit{J. Bartz} et al., Rocky Mt. J. Math. 51, No. 2, 399--411 (2021; Zbl 1482.11021) Full Text: arXiv
Liptai, Kálmán; Németh, László; Soydan, Gökhan; Szalay, László Resolution of the equation \((3^{x_{1}}-1)(3^{x_{2}}-1)=(5^{y_{1}}-1)(5^{y_{2}}-1)\). (English) Zbl 1480.11041 Rocky Mt. J. Math. 50, No. 4, 1425-1433 (2020). Reviewer: Lajos Hajdu (Debrecen) MSC: 11D61 11J86 PDFBibTeX XMLCite \textit{K. Liptai} et al., Rocky Mt. J. Math. 50, No. 4, 1425--1433 (2020; Zbl 1480.11041) Full Text: DOI arXiv Euclid
Li, Yangcheng; Zhang, Yong \(\theta\)-triangle and \(\omega\)-parallelogram pairs with areas and perimeters in certain proportions. (English) Zbl 1440.51006 Rocky Mt. J. Math. 50, No. 3, 1059-1071 (2020). MSC: 51M25 11D25 11G05 51M05 PDFBibTeX XMLCite \textit{Y. Li} and \textit{Y. Zhang}, Rocky Mt. J. Math. 50, No. 3, 1059--1071 (2020; Zbl 1440.51006) Full Text: DOI Euclid
Bukor, József; Filip, Ferdinánd; Tóth, János T. Sets with countably infinitely many prescribed weighted densities. (English) Zbl 1446.11014 Rocky Mt. J. Math. 50, No. 2, 467-477 (2020). Reviewer: Štefan Porubský (Praha) MSC: 11B05 40G99 PDFBibTeX XMLCite \textit{J. Bukor} et al., Rocky Mt. J. Math. 50, No. 2, 467--477 (2020; Zbl 1446.11014) Full Text: DOI Euclid
Mastrostefano, Daniele An upper bound for the moments of a GCD related to Lucas sequences. (English) Zbl 1418.11027 Rocky Mt. J. Math. 49, No. 3, 887-902 (2019). MSC: 11B37 11B39 11A05 11N64 PDFBibTeX XMLCite \textit{D. Mastrostefano}, Rocky Mt. J. Math. 49, No. 3, 887--902 (2019; Zbl 1418.11027) Full Text: DOI arXiv Euclid
Chattopadhyay, Jaitra; Roy, Bidisha; Sarkar, Subha On fractionally dense sets. (English) Zbl 1418.11015 Rocky Mt. J. Math. 49, No. 3, 743-760 (2019). MSC: 11B05 PDFBibTeX XMLCite \textit{J. Chattopadhyay} et al., Rocky Mt. J. Math. 49, No. 3, 743--760 (2019; Zbl 1418.11015) Full Text: DOI arXiv Euclid
Leonetti, Paolo; Sanna, Carlo On the greatest common divisor of \(n\) and the \(n\)th Fibonacci number. (English) Zbl 1437.11025 Rocky Mt. J. Math. 48, No. 4, 1191-1199 (2018). MSC: 11B39 11A05 11N25 PDFBibTeX XMLCite \textit{P. Leonetti} and \textit{C. Sanna}, Rocky Mt. J. Math. 48, No. 4, 1191--1199 (2018; Zbl 1437.11025) Full Text: DOI arXiv Euclid
Miyazaki, Takafumi Upper bounds for solutions of an exponential Diophantine equation. (English) Zbl 1378.11046 Rocky Mt. J. Math. 45, No. 1, 303-344 (2015). MSC: 11D61 11D41 PDFBibTeX XMLCite \textit{T. Miyazaki}, Rocky Mt. J. Math. 45, No. 1, 303--344 (2015; Zbl 1378.11046) Full Text: DOI Euclid
Dujella, Andrej; Peral, Juan Carlos Elliptic curves coming from Heron triangles. (English) Zbl 1305.14017 Rocky Mt. J. Math. 44, No. 4, 1145-1160 (2014). Reviewer: Andrea Bandini (Parma) MSC: 14H52 11G05 PDFBibTeX XMLCite \textit{A. Dujella} and \textit{J. C. Peral}, Rocky Mt. J. Math. 44, No. 4, 1145--1160 (2014; Zbl 1305.14017) Full Text: DOI Euclid
Broughan, Kevin Quadrafree factorisatio numerorum. (English) Zbl 1311.11011 Rocky Mt. J. Math. 44, No. 3, 791-807 (2014). Reviewer: Florian Luca (Morelia) MSC: 11A51 PDFBibTeX XMLCite \textit{K. Broughan}, Rocky Mt. J. Math. 44, No. 3, 791--807 (2014; Zbl 1311.11011) Full Text: DOI Euclid
Ayad, Mohamed On irreducible polynomials over \(\mathbb Q\) which are reducible over \(\mathbb F_p\) for all \(p\). (English) Zbl 1222.11124 Rocky Mt. J. Math. 40, No. 5, 1377-1389 (2010). Reviewer: Florian Luca (Morelia) MSC: 11R09 PDFBibTeX XMLCite \textit{M. Ayad}, Rocky Mt. J. Math. 40, No. 5, 1377--1389 (2010; Zbl 1222.11124) Full Text: DOI
Balasuriya, Sanka; Shparlinski, Igor E.; Winterhof, Arne An average bound for character sums with some counter-dependent recurrence sequences. (English) Zbl 1181.11052 Rocky Mt. J. Math. 39, No. 5, 1403-1409 (2009). Reviewer: Florian Luca (Morelia) MSC: 11L07 11L40 PDFBibTeX XMLCite \textit{S. Balasuriya} et al., Rocky Mt. J. Math. 39, No. 5, 1403--1409 (2009; Zbl 1181.11052) Full Text: DOI
Walsh, P. G. Integer solutions to the equation \(y^2=x(x^2\pm p^k)\). (English) Zbl 1235.11030 Rocky Mt. J. Math. 38, No. 4, 1285-1302 (2008). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 11D25 11D45 11G05 PDFBibTeX XMLCite \textit{P. G. Walsh}, Rocky Mt. J. Math. 38, No. 4, 1285--1302 (2008; Zbl 1235.11030) Full Text: DOI
Le, Maohua On the Diophantine equation \(y^x-x^y=z^2\). (English) Zbl 1146.11019 Rocky Mt. J. Math. 37, No. 4, 1181-1185 (2007). Reviewer: Maurice Mignotte (Strasbourg) MSC: 11D61 PDFBibTeX XMLCite \textit{M. Le}, Rocky Mt. J. Math. 37, No. 4, 1181--1185 (2007; Zbl 1146.11019) Full Text: DOI Euclid
Banks, William D.; Shparlinski, Igor E. Congruences and rational exponential sums with the Euler function. (English) Zbl 1193.11095 Rocky Mt. J. Math. 36, No. 5, 1415-1426 (2006). Reviewer: Olivier Ramaré (Lille) MSC: 11N69 11L07 11N37 PDFBibTeX XMLCite \textit{W. D. Banks} and \textit{I. E. Shparlinski}, Rocky Mt. J. Math. 36, No. 5, 1415--1426 (2006; Zbl 1193.11095) Full Text: DOI Euclid
De Koninck, J.-M.; Luca, F.; Sankaranarayanan, A. Positive integers whose Euler function is a power of their kernel function. (English) Zbl 1141.11045 Rocky Mt. J. Math. 36, No. 1, 81-96 (2006). Reviewer: Eira J. Scourfield (Egham) MSC: 11N56 11A25 PDFBibTeX XMLCite \textit{J. M. De Koninck} et al., Rocky Mt. J. Math. 36, No. 1, 81--96 (2006; Zbl 1141.11045) Full Text: DOI Euclid