Mollin, R. A.; Srinivasan, A. Pell equations: non-principal Lagrange criteria and central norms. (English) Zbl 1296.11019 Can. Math. Bull. 55, No. 4, 774-782 (2012). MSC: 11D09 11A55 11R11 11R29 PDFBibTeX XMLCite \textit{R. A. Mollin} and \textit{A. Srinivasan}, Can. Math. Bull. 55, No. 4, 774--782 (2012; Zbl 1296.11019) Full Text: DOI
Mollin, Richard A.; Srinivasan, Anitha Residuacity and genus theory of forms. (English) Zbl 1244.11091 J. Number Theory 132, No. 1, 103-116 (2012); corrigendum 132, No. 10, 2377 (2012). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11R27 11D09 11A55 11R11 11R29 PDFBibTeX XMLCite \textit{R. A. Mollin} and \textit{A. Srinivasan}, J. Number Theory 132, No. 1, 103--116 (2012; Zbl 1244.11091) Full Text: DOI
Mollin, Richard A.; Srinivasan, Anitha A note on the negative Pell equation. (English) Zbl 1248.11024 Int. J. Algebra 4, No. 17-20, 919-922 (2010). Reviewer: Florin Nicolae (Berlin) MSC: 11D09 11A55 11R11 11R29 PDFBibTeX XMLCite \textit{R. A. Mollin} and \textit{A. Srinivasan}, Int. J. Algebra 4, No. 17--20, 919--922 (2010; Zbl 1248.11024) Full Text: Link
Mollin, R. A. Solving Diophantine equations via Lucas-Lehmer theory. (English) Zbl 1239.11033 Int. Math. Forum 5, No. 25-28, 1339-1346 (2010). Reviewer: Volker Ziegler (Graz) MSC: 11D09 11A55 11R11 11R29 PDFBibTeX XMLCite \textit{R. A. Mollin}, Int. Math. Forum 5, No. 25--28, 1339--1346 (2010; Zbl 1239.11033) Full Text: Link
Mollin, Richard A.; Srinivasan, Anitha Central norms: applications to Pell’s equation. (English) Zbl 1247.11035 Far East J. Math. Sci. (FJMS) 38, No. 2, 225-252 (2010). Reviewer: Volker Ziegler (Graz) MSC: 11D09 11A55 11R11 11R29 PDFBibTeX XMLCite \textit{R. A. Mollin} and \textit{A. Srinivasan}, Far East J. Math. Sci. (FJMS) 38, No. 2, 225--252 (2010; Zbl 1247.11035) Full Text: Link
Mollin, Richard A.; Srinivasan, Anitha A note on residuacity and criteria for prime representation. (English) Zbl 1247.11034 JP J. Algebra Number Theory Appl. 16, No. 2, 153-159 (2010). Reviewer: Volker Ziegler (Graz) MSC: 11D09 11A55 11R11 11R27 PDFBibTeX XMLCite \textit{R. A. Mollin} and \textit{A. Srinivasan}, JP J. Algebra Number Theory Appl. 16, No. 2, 153--159 (2010; Zbl 1247.11034) Full Text: Link
Mollin, R. A. Characterization of \(D=P^2+Q^2\) when \(\gcd(P,Q)=1\) and \(x^2-Dy^2=-1\) has no integer solutions. (English) Zbl 1218.11032 Far East J. Math. Sci. (FJMS) 32, No. 2, 285-294 (2009). Reviewer: Volker Ziegler (Graz) MSC: 11D09 11D85 11R11 11R29 PDFBibTeX XMLCite \textit{R. A. Mollin}, Far East J. Math. Sci. (FJMS) 32, No. 2, 285--294 (2009; Zbl 1218.11032) Full Text: Link
Mollin, R. A. The number of bounded solutions of norm-form equations via Pell equations and ambiguous classes of solutions. (English) Zbl 1192.11019 JP J. Algebra Number Theory Appl. 10, No. 2, 237-246 (2008). Reviewer: Volker Ziegler (Graz) MSC: 11D09 11R11 PDFBibTeX XMLCite \textit{R. A. Mollin}, JP J. Algebra Number Theory Appl. 10, No. 2, 237--246 (2008; Zbl 1192.11019) Full Text: Link
Mollin, R. A. Class numbers of quadratic fields, Mersenne numbers, Fermat numbers, and exponential Diophantine equations. (English) Zbl 1207.11108 JP J. Algebra Number Theory Appl. 9, No. 1, 129-133 (2007). Reviewer: Alain S. Togbe (Westville) MSC: 11R29 11D61 11R11 11R65 PDFBibTeX XMLCite \textit{R. A. Mollin}, JP J. Algebra Number Theory Appl. 9, No. 1, 129--133 (2007; Zbl 1207.11108) Full Text: Link
Mollin, Richard A. Quadratic Diophantine equations \(x^2-Dy^2=c^n\). (English) Zbl 1144.11025 Ir. Math. Soc. Bull. 58, 55-68 (2006). Reviewer: Lajos Hajdu (Debrecen) MSC: 11D09 11D61 11A55 11R11 PDFBibTeX XMLCite \textit{R. A. Mollin}, Ir. Math. Soc. Bull. 58, 55--68 (2006; Zbl 1144.11025)
Mollin, R. A. Norm form equations and continued fractions. (English) Zbl 1138.11318 Acta Math. Univ. Comen., New Ser. 74, No. 2, 273-278 (2005). Reviewer: Oto Strauch (Bratislava) MSC: 11D57 11D09 11R11 11A55 PDFBibTeX XMLCite \textit{R. A. Mollin}, Acta Math. Univ. Comen., New Ser. 74, No. 2, 273--278 (2005; Zbl 1138.11318) Full Text: EuDML EMIS
Mollin, R. A. On an elementary approach to the Lebesgue-Nagell equation. (English) Zbl 1086.11050 Int. J. Number Theory 1, No. 4, 553-561 (2005). Reviewer: Istvan Gaál (Debrecen) MSC: 11R11 11D09 11A55 PDFBibTeX XMLCite \textit{R. A. Mollin}, Int. J. Number Theory 1, No. 4, 553--561 (2005; Zbl 1086.11050) Full Text: DOI
Mollin, R. A. Eisenstein equations and central norms. (English) Zbl 1076.11019 C. R. Math. Acad. Sci., Soc. R. Can. 27, No. 1, 20-24 (2005). Reviewer: Franz Lemmermeyer (Bilkent) MSC: 11D09 11R11 PDFBibTeX XMLCite \textit{R. A. Mollin}, C. R. Math. Acad. Sci., Soc. R. Can. 27, No. 1, 20--24 (2005; Zbl 1076.11019)
Mollin, R. A.; Cheng, K. Period lengths of continued fractions involving Fibonacci numbers. (English) Zbl 1059.11009 Fibonacci Q. 42, No. 2, 161-169 (2004). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11A55 11D09 11R11 PDFBibTeX XMLCite \textit{R. A. Mollin} and \textit{K. Cheng}, Fibonacci Q. 42, No. 2, 161--169 (2004; Zbl 1059.11009)
Lemmermeyer, F.; Mollin, R. On Tate-Shafarevich groups of \(y^2=x(x^2-k^2)\). (English) Zbl 1097.11012 Acta Math. Univ. Comen., New Ser. 72, No. 1, 73-80 (2003). Reviewer: Oto Strauch (Bratislava) MSC: 11D09 11A55 11R11 PDFBibTeX XMLCite \textit{F. Lemmermeyer} and \textit{R. Mollin}, Acta Math. Univ. Comen., New Ser. 72, No. 1, 73--80 (2003; Zbl 1097.11012) Full Text: EuDML EMIS
Mollin, R. A.; Cheng, K.; Goddard, B. The Diophantine equation \(AX^2-BY^2=C\) solved via continued fractions. (English) Zbl 1050.11030 Acta Math. Univ. Comen., New Ser. 71, No. 2, 121-138 (2002). Reviewer: Oto Strauch (Bratislava ) MSC: 11D09 11A55 11R11 PDFBibTeX XMLCite \textit{R. A. Mollin} et al., Acta Math. Univ. Comen., New Ser. 71, No. 2, 121--138 (2002; Zbl 1050.11030) Full Text: EuDML EMIS
Mollin, R. A. Ideal criteria for both \(X^2-DY^2=m_1\) and \(x^2-Dy^2=m_2\) to have primitive solutions for any integers \(m_1,m_2\) prime to \(D>0\). (English) Zbl 1028.11015 Serdica Math. J. 28, No. 2, 175-188 (2002). Reviewer: Ivan D.Chipchakov (Sofia) MSC: 11D09 11R11 11R27 PDFBibTeX XMLCite \textit{R. A. Mollin}, Serdica Math. J. 28, No. 2, 175--188 (2002; Zbl 1028.11015) Full Text: EuDML
Mollin, R. A. Polynomials of Pellian type and continued fractions. (English) Zbl 0994.11004 Serdica Math. J. 27, No. 4, 317-342 (2001). Reviewer: Ivan D. Chipchakov (Sofia) MSC: 11A55 11R11 11R27 PDFBibTeX XMLCite \textit{R. A. Mollin}, Serdica Math. J. 27, No. 4, 317--342 (2001; Zbl 0994.11004) Full Text: EuDML
Mollin, R. A. Simple continued fraction solutions for Diophantine equations. (English) Zbl 0983.11010 Expo. Math. 19, No. 1, 55-73 (2001). Reviewer: Edward J.Barbeau (Toronto) MSC: 11D09 11A55 11R11 PDFBibTeX XMLCite \textit{R. A. Mollin}, Expo. Math. 19, No. 1, 55--73 (2001; Zbl 0983.11010) Full Text: DOI
Louboutin, S.; Mollin, R. A. Solutions to \(x^2-Dy^2=Q\). (English) Zbl 0980.11051 Gupta, Rajiv (ed.) et al., Number theory. Fifth conference of the Canadian Number Theory Association, Ottawa, Ontario, Canada, August 17-22, 1996. Providence, RI: American Mathematical Society. CRM Proc. Lect. Notes. 19, 265-280 (1999). Reviewer: Zhang Xianke (Beijing) MSC: 11R11 11R04 11A55 11E16 PDFBibTeX XMLCite \textit{S. Louboutin} and \textit{R. A. Mollin}, in: Number theory. Fifth conference of the Canadian Number Theory Association, Ottawa, Ontario, Canada, August 17--22, 1996. Providence, RI: American Mathematical Society. 265--280 (1999; Zbl 0980.11051)
Mollin, R. A. Polynomial solutions for Pell’s equation revisited. (English) Zbl 0879.11014 Indian J. Pure Appl. Math. 28, No. 4, 429-438 (1997). Reviewer: F.Halter-Koch (Graz) MSC: 11D09 11R11 11R29 PDFBibTeX XMLCite \textit{R. A. Mollin}, Indian J. Pure Appl. Math. 28, No. 4, 429--438 (1997; Zbl 0879.11014)
Mollin, R. A. Lower bounds for class numbers of real quadratic and biquadratic fields. (English) Zbl 0632.12006 Proc. Am. Math. Soc. 101, 439-444 (1987). Reviewer: H.Yokoi MSC: 11R11 11R16 11R23 11R80 11D04 PDFBibTeX XMLCite \textit{R. A. Mollin}, Proc. Am. Math. Soc. 101, 439--444 (1987; Zbl 0632.12006) Full Text: DOI
Mollin, R. A.; Walsh, P. G. On nonsquare powerful numbers. (English) Zbl 0605.10008 Fibonacci Q. 25, 34-37 (1987). Reviewer: D. R. Heath-Brown (Oxford) MSC: 11A51 11D85 11D09 PDFBibTeX XMLCite \textit{R. A. Mollin} and \textit{P. G. Walsh}, Fibonacci Q. 25, 34--37 (1987; Zbl 0605.10008)
Mollin, R. A. A survey of class numbers of quadratic fields in relation to integer solutions of diophantine equations. (English) Zbl 0616.10012 Ber. Math.-Stat. Sekt. Forschungsges. Joanneum 272, 37-48 (1986). Reviewer: H.Yokoi MSC: 11D04 11R23 11R11 11-02 12-02 PDFBibTeX XML
Mollin, R. A.; Walsh, P. G. On powerful numbers. (English) Zbl 0606.10010 Int. J. Math. Math. Sci. 9, 801-806 (1986). Reviewer: D. R. Heath-Brown (Oxford) MSC: 11A51 11D09 11D85 PDFBibTeX XMLCite \textit{R. A. Mollin} and \textit{P. G. Walsh}, Int. J. Math. Math. Sci. 9, 801--806 (1986; Zbl 0606.10010) Full Text: DOI EuDML
Mollin, R. A. Lower bounds for class numbers of real quadratic fields. (English) Zbl 0591.12007 Proc. Am. Math. Soc. 96, 545-550 (1986). Reviewer: H.Yokoi MSC: 11R11 11R23 11D09 PDFBibTeX XMLCite \textit{R. A. Mollin}, Proc. Am. Math. Soc. 96, 545--550 (1986; Zbl 0591.12007) Full Text: DOI
Mollin, R. A. Diophantine equations and class numbers. (English) Zbl 0591.12006 J. Number Theory 24, 7-19 (1986). Reviewer: H.Yokoi MSC: 11R11 11R23 11D09 PDFBibTeX XMLCite \textit{R. A. Mollin}, J. Number Theory 24, 7--19 (1986; Zbl 0591.12006) Full Text: DOI