Yakkou, Hamid Ben On nonmonogenic number fields defined by trinomials of type \(x^n +ax^m+b\). (English) Zbl 07731139 Rocky Mt. J. Math. 53, No. 3, 685-699 (2023). Reviewer: Masanari Kida (Tōkyō) MSC: 11R04 11R16 11R21 PDFBibTeX XMLCite \textit{H. B. Yakkou}, Rocky Mt. J. Math. 53, No. 3, 685--699 (2023; Zbl 07731139) Full Text: DOI arXiv Link
Das, Shamik; Saikia, Anupam Families of even noncongruent numbers with arbitrarily many pairs of prime factors. (English) Zbl 07555148 Rocky Mt. J. Math. 52, No. 2, 471-481 (2022). Reviewer: Yong Zhang (Changsha) MSC: 11G05 11D25 11A15 PDFBibTeX XMLCite \textit{S. Das} and \textit{A. Saikia}, Rocky Mt. J. Math. 52, No. 2, 471--481 (2022; Zbl 07555148) Full Text: DOI Link
Hirakawa, Yoshinosuke; Matsumura, Hideki Infinitely many hyperelliptic curves with exactly two rational points. (English) Zbl 1471.11201 Rocky Mt. J. Math. 51, No. 3, 883-889 (2021). MSC: 11G30 11G05 11D25 14G05 PDFBibTeX XMLCite \textit{Y. Hirakawa} and \textit{H. Matsumura}, Rocky Mt. J. Math. 51, No. 3, 883--889 (2021; Zbl 1471.11201) Full Text: DOI arXiv
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
Umegaki, Atsuki; Umegaki, Yumiko Quartic fields with large class numbers. (English) Zbl 1448.11201 Rocky Mt. J. Math. 50, No. 1, 267-280 (2020). Reviewer: Abdelmalek Azizi (Oujda) MSC: 11R29 11R16 PDFBibTeX XMLCite \textit{A. Umegaki} and \textit{Y. Umegaki}, Rocky Mt. J. Math. 50, No. 1, 267--280 (2020; Zbl 1448.11201) Full Text: DOI Euclid
Skalba, Mariusz; Ulas, Maciej Pairs of Pythagorean triangles with given ratios between catheti. (English) Zbl 1471.11123 Rocky Mt. J. Math. 49, No. 8, 2779-2789 (2019). Reviewer: Nikos Tzanakis (Iraklion) MSC: 11D25 11G05 11Y50 PDFBibTeX XMLCite \textit{M. Skalba} and \textit{M. Ulas}, Rocky Mt. J. Math. 49, No. 8, 2779--2789 (2019; Zbl 1471.11123) Full Text: DOI arXiv Euclid
Choudhry, Ajai Symmetric Diophantine systems and families of elliptic curves of high rank. (English) Zbl 1457.11074 Rocky Mt. J. Math. 49, No. 5, 1419-1447 (2019). Reviewer: Maciej Ulas (Kraków) MSC: 11G05 11D25 11D41 PDFBibTeX XMLCite \textit{A. Choudhry}, Rocky Mt. J. Math. 49, No. 5, 1419--1447 (2019; Zbl 1457.11074) Full Text: DOI arXiv Euclid
Savaş Çelık, Gamze; Soydan, Gökhan Elliptic curves containing sequences of consecutive cubes. (English) Zbl 1405.14081 Rocky Mt. J. Math. 48, No. 7, 2163-2174 (2018). Reviewer: Andrea Bandini (Parma) MSC: 14H52 11B83 11D25 11G05 14G05 PDFBibTeX XMLCite \textit{G. Savaş Çelık} and \textit{G. Soydan}, Rocky Mt. J. Math. 48, No. 7, 2163--2174 (2018; Zbl 1405.14081) Full Text: DOI arXiv Euclid
Chahal, Jasbir S.; Top, Jaap Albime triangles over quadratic fields. (English) Zbl 1433.11029 Rocky Mt. J. Math. 47, No. 7, 2095-2106 (2017). MSC: 11D25 11G05 14G05 97G40 PDFBibTeX XMLCite \textit{J. S. Chahal} and \textit{J. Top}, Rocky Mt. J. Math. 47, No. 7, 2095--2106 (2017; Zbl 1433.11029) Full Text: DOI Euclid
Gaál, István; Remete, László Non-monogenity in a family of octic fields. (English) Zbl 1381.11102 Rocky Mt. J. Math. 47, No. 3, 817-824 (2017). Reviewer: Artūras Dubickas (Vilnius) MSC: 11R04 11Y50 PDFBibTeX XMLCite \textit{I. Gaál} and \textit{L. Remete}, Rocky Mt. J. Math. 47, No. 3, 817--824 (2017; Zbl 1381.11102) Full Text: DOI arXiv Euclid
González-Jiménez, Enrique; Najman, Filip; Tornero, José M. Torsion of rational elliptic curves over cubic fields. (English) Zbl 1358.11068 Rocky Mt. J. Math. 46, No. 6, 1899-1917 (2016). Reviewer: Noburo Ishii (Kyoto) MSC: 11G05 11R16 14G05 14H52 PDFBibTeX XMLCite \textit{E. González-Jiménez} et al., Rocky Mt. J. Math. 46, No. 6, 1899--1917 (2016; Zbl 1358.11068) Full Text: DOI arXiv Euclid
Cullinan, John; Etropolski, Anastassia; Sell, Elizabeth On the ranks of the Jacobians of curves defined by Jacobi polynomials. (English) Zbl 1358.11067 Rocky Mt. J. Math. 44, No. 1, 23-33 (2014). Reviewer: Alain Kraus (Paris) MSC: 11G05 11D25 PDFBibTeX XMLCite \textit{J. Cullinan} et al., Rocky Mt. J. Math. 44, No. 1, 23--33 (2014; Zbl 1358.11067) Full Text: DOI Euclid
Fujita, Yasutsugu The Hoggatt-Bergum conjecture on \(D(-1)\)-triples \(\{F_{2k+1}\), \(F_{2k+3}\), \(F_{2k+5}\}\) and integer points on the attached elliptic curves. (English) Zbl 1248.11025 Rocky Mt. J. Math. 39, No. 6, 1907-1932 (2009). MSC: 11D25 11B39 11D09 11G05 PDFBibTeX XMLCite \textit{Y. Fujita}, Rocky Mt. J. Math. 39, No. 6, 1907--1932 (2009; Zbl 1248.11025) Full Text: DOI
Yabuta, Minoru Elliptic divisibility sequences and certain Diophantine equations. (English) Zbl 1258.11064 Rocky Mt. J. Math. 39, No. 4, 1339-1352 (2009). Reviewer: Olaf Ninnemann (Berlin) MSC: 11G05 11B37 11B39 11D25 PDFBibTeX XMLCite \textit{M. Yabuta}, Rocky Mt. J. Math. 39, No. 4, 1339--1352 (2009; Zbl 1258.11064) 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
Campbell, Garikai; Brady, James Thomas; Nair, Arvind Tiling the unit square with 5 rational triangles. (English) Zbl 1208.11071 Rocky Mt. J. Math. 37, No. 2, 399-418 (2007). MSC: 11G05 11D25 52C20 PDFBibTeX XMLCite \textit{G. Campbell} et al., Rocky Mt. J. Math. 37, No. 2, 399--418 (2007; Zbl 1208.11071) Full Text: DOI Euclid
Manley, Eric D. On quadratic solutions of \(x^4+py^4=z^4\). (English) Zbl 1139.11018 Rocky Mt. J. Math. 36, No. 3, 1027-1031 (2006). Reviewer: Maurice Mignotte (Strasbourg) MSC: 11D25 PDFBibTeX XMLCite \textit{E. D. Manley}, Rocky Mt. J. Math. 36, No. 3, 1027--1031 (2006; Zbl 1139.11018) Full Text: DOI Euclid
Kaneko, Masanobu; Tachibana, Katsuichi When is a polygonal pyramid number again polygonal? (English) Zbl 1039.11012 Rocky Mt. J. Math. 32, No. 1, 149-165 (2002). Reviewer: Roelof J. Stroeker (Rotterdam) MSC: 11D25 11G05 PDFBibTeX XMLCite \textit{M. Kaneko} and \textit{K. Tachibana}, Rocky Mt. J. Math. 32, No. 1, 149--165 (2002; Zbl 1039.11012) Full Text: DOI Link
Dujella, Andrej Diophantine triples and construction of high-rank elliptic curves over \(\mathbb{Q}\) with three nontrivial 2-torsion points. (English) Zbl 0989.11032 Rocky Mt. J. Math. 30, No. 1, 157-164 (2000). Reviewer: Federico Pellarin (Caen) MSC: 11G05 11D25 PDFBibTeX XMLCite \textit{A. Dujella}, Rocky Mt. J. Math. 30, No. 1, 157--164 (2000; Zbl 0989.11032) Full Text: DOI arXiv Link
Chahal, Jasbir S.; Top, Jaap Triangular numbers and elliptic curves. (English) Zbl 0969.11021 Rocky Mt. J. Math. 26, No. 3, 937-949 (1996). MSC: 11G05 11D25 PDFBibTeX XMLCite \textit{J. S. Chahal} and \textit{J. Top}, Rocky Mt. J. Math. 26, No. 3, 937--949 (1996; Zbl 0969.11021) Full Text: DOI Link
Spearman, Blair K.; Williams, Kenneth S. Unramified quadratic extensions of a quadratic field. (English) Zbl 0842.11037 Rocky Mt. J. Math. 25, No. 2, 783-788 (1995). Reviewer: F.Halter-Koch (Graz) MSC: 11R16 11S15 PDFBibTeX XMLCite \textit{B. K. Spearman} and \textit{K. S. Williams}, Rocky Mt. J. Math. 25, No. 2, 783--788 (1995; Zbl 0842.11037) Full Text: DOI
Stroeker, Roel J.; Top, Jaap On the equation \(Y^ 2=(X+p)(X^ 2+p^ 2)\). (English) Zbl 0810.11038 Rocky Mt. J. Math. 24, No. 3, 1135-1161 (1994). Reviewer: R.J.Stroeker (Rotterdam) MSC: 11G05 11D25 PDFBibTeX XMLCite \textit{R. J. Stroeker} and \textit{J. Top}, Rocky Mt. J. Math. 24, No. 3, 1135--1161 (1994; Zbl 0810.11038) Full Text: DOI
Williams, Hugh C. Continued fractions and number-theoretic computations. (English) Zbl 0594.12003 Rocky Mt. J. Math. 15, 621-655 (1985). Reviewer: Lawrence C. Washington (College Park) MSC: 11Y40 11Y05 11R11 11R16 11A55 PDFBibTeX XMLCite \textit{H. C. Williams}, Rocky Mt. J. Math. 15, 621--655 (1985; Zbl 0594.12003) Full Text: DOI