Edit Profile (opens in new tab) Mollin, Richard Anthony Compute Distance To: Compute Author ID: mollin.richard-anthony Published as: Mollin, R. A.; Mollin, Richard A.; Mollin, R.; Mollin, Richard Anthony; Mollin, Richard Homepage: http://leydenscalgary.sharingmemories.ca/site/Richard-Mollin.html External Links: MGP · ORCID Documents Indexed: 207 Publications since 1976, including 11 Books 2 Contributions as Editor Reviewing Activity: 391 Reviews Co-Authors: 16 Co-Authors with 58 Joint Publications 366 Co-Co-Authors all top 5 Co-Authors 137 single-authored 29 Williams, Hugh Cowie 8 Srinivasan, Anitha 5 Walsh, Peter Gareth 4 Louboutin, Stéphane R. 3 DeMeyer, Frank R. 3 van der Poorten, Alfred J. 2 Granville, Andrew James 1 Bruen, Aiden A. 1 Coupland, Simon 1 Devitt, John S. 1 Edgar, Hugh Maxwell 1 Greenfield, Gary R. 1 Kemp, Paula A. 1 Lemmermeyer, Franz Josef 1 Oseen, B. 1 Peterson, Brian L. all top 5 Serials 18 Proceedings of the Japan Academy. Series A 14 Comptes Rendus Mathématiques de l’Académie des Sciences 13 JP Journal of Algebra, Number Theory and Applications 12 International Journal of Mathematics and Mathematical Sciences 11 Canadian Mathematical Bulletin 8 Proceedings of the American Mathematical Society 8 Far East Journal of Mathematical Sciences 7 Journal of Number Theory 6 Acta Arithmetica 6 Utilitas Mathematica 6 Discrete Mathematics and its Applications 5 Canadian Journal of Mathematics 5 Journal of Algebra 4 Mathematics of Computation 4 International Mathematical Journal 4 International Journal of Contemporary Mathematical Sciences 4 CRC Press Series on Discrete Mathematics and its Applications 3 Communications in Algebra 3 The Fibonacci Quarterly 3 Acta Mathematica Universitatis Comenianae. New Series 3 The New York Journal of Mathematics 3 Serdica Mathematical Journal 3 International Mathematical Forum 3 International Journal of Algebra 2 Bulletin of the Australian Mathematical Society 2 Glasgow Mathematical Journal 2 Journal für die Reine und Angewandte Mathematik 2 Nagoya Mathematical Journal 2 Pacific Journal of Mathematics 2 Journal de Théorie des Nombres de Bordeaux 2 Far East Journal of Mathematical Sciences 2 Acta Mathematica Academiae Paedagogicae Nyíregyháziensis. New Series 2 International Journal of Pure and Applied Mathematics 1 American Mathematical Monthly 1 Indian Journal of Pure & Applied Mathematics 1 Colloquium Mathematicum 1 Functiones et Approximatio. Commentarii Mathematici 1 Gaṇita 1 Journal of Pure and Applied Algebra 1 Mathematische Zeitschrift 1 Publicationes Mathematicae 1 Results in Mathematics 1 Séminaire de Théorie des Nombres de Bordeaux. Deuxième Série 1 Expositiones Mathematicae 1 Nieuw Archief voor Wiskunde. Vierde Serie 1 Irish Mathematical Society Bulletin 1 Cubo 1 International Journal of Number Theory 1 NATO ASI Series. Series C. Mathematical and Physical Sciences 1 Journal of Combinatorics and Number Theory 1 The Open Mathematics Journal 1 Pioneer Journal of Mathematics and Mathematical Sciences 1 Journal of Mathematical Sciences all top 5 Fields 196 Number theory (11-XX) 23 Algebraic geometry (14-XX) 19 Associative rings and algebras (16-XX) 11 Information and communication theory, circuits (94-XX) 9 Group theory and generalizations (20-XX) 8 Field theory and polynomials (12-XX) 2 General and overarching topics; collections (00-XX) 2 Combinatorics (05-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Computer science (68-XX) 1 History and biography (01-XX) 1 Commutative algebra (13-XX) 1 Numerical analysis (65-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 131 Publications have been cited 484 times in 257 Documents Cited by ▼ Year ▼ Algebraic number theory. Zbl 0930.11001Mollin, Richard A. 23 1999 Quadratics. Zbl 0858.11001Mollin, Richard A. 22 1996 Diophantine equations and class numbers. Zbl 0591.12006Mollin, R. A. 19 1986 On the insolubility of a class of diophantine equations and the nontriviality of the class numbers of related real quadratic fields of Richaud-Degert type. Zbl 0591.12005Mollin, R. A. 18 1987 Fundamental number theory with applications. Zbl 0943.11001Mollin, Richard A. 11 1998 On prime valued polynomials and class numbers of real quadratic fields. Zbl 0629.12004Mollin, R. A.; Williams, H. C. 11 1988 A conjecture of S. Chowla via the generalized Riemann hypothesis. Zbl 0649.12005Mollin, R. A.; Williams, H. C. 11 1988 Lower bounds for class numbers of real quadratic fields. Zbl 0591.12007Mollin, R. A. 10 1986 Computation of the class number of a real quadratic field. Zbl 0757.11036Mollin, R. A.; Williams, H. C. 9 1992 Class numbers of real quadratic fields, continued fractions, reduced ideals, prime-producing quadratic polynomials and quadratic residue covers. Zbl 0771.11039Louboutin, S.; Mollin, R. A.; Williams, H. C. 9 1992 Fundamental number theory with applications. 2nd ed. Zbl 1175.11001Mollin, Richard A. 8 2008 Corrigenda. Zbl 0525.12006Mollin, R. A. 8 1984 Prime producing quadratic polynomials and real quadratic fields of class number one. Zbl 0695.12002Mollin, R. A.; Williams, H. C. 8 1989 Solution of the class number one problem for real quadratic fields of extended Richaud-Degert type (with one possible exception). Zbl 0696.12004Mollin, R. A.; Williams, H. C. 8 1990 Class number one criteria for real quadratic fields. I. Zbl 0625.12002Mollin, R. A. 8 1987 Algebras with uniformly distributed invariants. Zbl 0358.16005Mollin, Richard A. 7 1977 The Schur group of a commutative ring. Zbl 0555.13003DeMeyer, F.; Mollin, R. 7 1985 Real prime-producing quadratics. Zbl 0888.11041Mollin, R. A. 7 1996 Class groups, totally positive units, and squares. Zbl 0604.12007Edgar, H. M.; Mollin, R. A.; Peterson, B. L. 7 1986 Totally positive units and squares. Zbl 0509.12004Hughes, I.; Mollin, R. 7 1983 Necessary and sufficient conditions for the class number of a real quadratic field to be one, and a conjecture of S. Chowla. Zbl 0673.12005Mollin, R. A. 6 1988 Uniform distribution and the Schur subgroup. Zbl 0342.16012Mollin, Richard 6 1976 Uniform distribution and real fields. Zbl 0352.16002Mollin, R. 6 1976 On a determination of real quadratic fields of class number one and related continued fraction period length less than 25. Zbl 0743.11062Mollin, R. A.; Williams, H. C. 6 1991 Solutions of diophantine equations, and divisibility of class numbers of complex quadratic fields. Zbl 0859.11058Mollin, R. A. 6 1996 Simple continued fraction solutions for Diophantine equations. Zbl 0983.11010Mollin, R. A. 6 2001 Lower bounds for class numbers of real quadratic and biquadratic fields. Zbl 0632.12006Mollin, R. A. 6 1987 The Schur group of a field of characteristic zero. Zbl 0352.16003Mollin, R. A. 5 1978 Ambiguous classes in quadratic fields. Zbl 0790.11076Mollin, R. A. 5 1993 Class number one and prime-producing quadratic polynomials revisited. Zbl 0920.11078Mollin, R. A. 5 1998 Polynomial solutions for Pell’s equation revisited. Zbl 0879.11014Mollin, R. A. 5 1997 Class number one for real quadratic fields, continued fractions and reduced ideals. Zbl 0714.11067Mollin, R. A.; Williams, H. C. 5 1989 On the divisor function and class numbers of real quadratic fields. I. Zbl 0714.11068Mollin, R. A. 5 1990 Herstein’s conjecture, automorphisms and the Schur group. Zbl 0393.16015Mollin, R. 5 1978 Polynomials of Pellian type and continued fractions. Zbl 0994.11004Mollin, R. A. 5 2001 A continued fraction approach to the Diophantine equation \(ax^2- by^2= \pm1\). Zbl 1056.11017Mollin, R. A. 5 2004 An introduction to cryptography. 2nd ed. Zbl 1104.94032Mollin, Richard A. 4 2007 Generalized uniform distribution of Hasse invariants. Zbl 0366.16005Mollin, R. A. 4 1977 All solutions of the Diophantine equation \(x^2- Dy^2= n\). Zbl 1114.11302Mollin, R. A. 4 1998 An upper bound on the least inert prime in a real quadratic field. Zbl 1053.11092Granville, Andrew; Mollin, R. A.; Williams, H. C. 4 2000 Orders in quadratic fields. I. Zbl 0795.11056Mollin, R. A. 4 1993 Orders in quadratic fields. II. Zbl 0809.11063Mollin, R. A.; Zhang, L.-C. 4 1993 Solution of a problem of Yokoi. Zbl 0705.11060Mollin, R. A.; Williams, H. C. 4 1990 Applications of a new class number two criterion for real quadratic fields. Zbl 0734.11057Mollin, R. A. 4 1991 On a solution of a class number two problem for a family of real quadratic fields. Zbl 0734.11058Mollin, R. A.; Williams, H. C. 4 1991 \(U(K)\) for quadratic fields \(K\). Zbl 0336.16009Mollin, R. 4 1976 Orders in quadratic fields. III. Zbl 0809.11064Mollin, R. A. 4 1994 Quadratic Diophantine equations \(x^2-Dy^2=c^n\). Zbl 1144.11025Mollin, Richard A. 3 2006 Advanced number theory with applications. Zbl 1200.11002Mollin, Richard A. 3 2010 Class number two for real quadratic fields of Richaud-Degert type. Zbl 1224.11091Mollin, R. A. 3 2009 Pell equations: non-principal Lagrange criteria and central norms. Zbl 1296.11019Mollin, R. A.; Srinivasan, A. 3 2012 On Tate-Shafarevich groups of \(y^2=x(x^2-k^2)\). Zbl 1097.11012Lemmermeyer, F.; Mollin, R. 3 2003 Rabinowitsch revisited. Zbl 0985.11040Granville, Andrew; Mollin, Richard A. 3 2000 A note on powerful numbers, quadratic fields and the Pellian. Zbl 0595.10002Mollin, R. A.; Walsh, P. G. 3 1986 On powerful numbers. Zbl 0606.10010Mollin, R. A.; Walsh, P. G. 3 1986 On the cyclotomic polynomial. Zbl 0512.10006Mollin, R. A. 3 1983 Class numbers and a generalized Fermat theorem. Zbl 0515.12004Mollin, R. A. 3 1983 Powers in continued fractions and class numbers of real quadratic fields. Zbl 0776.11002Mollin, R. A. 3 1992 Algebraic number theory. 2nd revised ed. Zbl 1219.11001Mollin, Richard A. 3 2011 The Diophantine equation \(AX^2-BY^2=C\) solved via continued fractions. Zbl 1050.11030Mollin, R. A.; Cheng, K.; Goddard, B. 3 2002 Induced p-elements in the Schur group. Zbl 0414.12010Mollin, Richard Anthony 3 1980 Splitting fields and group characters. Zbl 0434.12005Mollin, Richard Anthony 3 1980 On permutation polynomials over finite fields. Zbl 0626.12015Mollin, R. A.; Small, C. 3 1987 Induced quaternion algebras in the Schur group. Zbl 0458.12009Mollin, Richard A. 2 1981 Halfway to a solution of \(x^ 2 - Dy^ 2 = -3\). Zbl 0820.11015Mollin, R. A.; van der Poorten, A. J.; Williams, H. C. 2 1994 A note on symmetry and ambiguity. Zbl 0824.11003Mollin, R. A.; van der Poorten, A. J. 2 1995 Quadratic polynomials producing consecutive, distinct primes and class groups of complex quadratic fields. Zbl 0852.11060Mollin, R. A. 2 1996 Pellian polynomials and period lengths of continued fractions. Zbl 1021.11028Mollin, R. A.; Cheng, K.; Goddard, B. 2 2002 More on the Schur group of a commutative ring. Zbl 0573.16002Mollin, R. A. 2 1985 On unit solutions of the equation \(xyz=x+x+z\) in the ring of integers of a quadratic field. Zbl 0576.10009Mollin, R. A.; Small, C.; Varadarajan, K.; Walsh, P. G. 2 1987 The Schur group. Zbl 0582.13003DeMeyer, Frank; Mollin, Richard 2 1985 Minimal cyclotomic splitting fields for group characters. Zbl 0513.12006Mollin, R. A. 2 1984 A complete generalization of Yokoi’s \(p\)-invariants. Zbl 0762.11035Mollin, R. A.; Williams, H. C. 2 1992 On real quadratic fields of class number two. Zbl 0774.11061Mollin, R. A.; Williams, H. C. 2 1992 Number theory and applications. Proceedings of the NATO Advanced Study Institute held at Banff Centre, Canada, 27 April - 5 May 1988. Zbl 0676.00005 2 1989 Class number problems for real quadratic fields. Zbl 0705.11057Mollin, R. A.; Williams, H. C. 2 1990 Quadratic non-residues and prime-producing polynomials. Zbl 0714.11066Mollin, R. A.; Williams, H. C. 2 1989 Class numbers bounded below by the divisor function. Zbl 0718.11055Mollin, R. A. 2 1990 On the divisor function and class numbers of real quadratic fields. II. Zbl 0723.11052Mollin, R. A. 2 1990 A description of continued fraction expansions of quadratic surds represented by polynomials. Zbl 1059.11010Mollin, R. A.; Goddard, B. 2 2004 Class numbers of quadratic fields determined by solvability of diophantine equations. Zbl 0611.12007Mollin, R. A. 2 1987 Class number one criteria for real quadratic fields. II. Zbl 0625.12003Mollin, R. A. 2 1987 Continued fraction gems. Zbl 1239.11010Mollin, R. A. 1 2000 A note on the Diophantine equation \(D_1x^2+D_2=ak^n\). Zbl 1102.11019Mollin, R. A. 1 2005 An elementary proof of the Rabinowitsch-Mollin-Williams criterion for real quadratic fields. Zbl 1286.11171Mollin, R. A. 1 1996 Central norms: applications to Pell’s equation. Zbl 1247.11035Mollin, Richard A.; Srinivasan, Anitha 1 2010 An overview of sieve methods. Zbl 1219.11140Mollin, R. A. 1 2010 The Rabinowitsch-Mollin-Williams theorem revisited. Zbl 1290.11151Mollin, R. A. 1 2009 Residuacity and genus theory of forms. Zbl 1244.11091Mollin, Richard A.; Srinivasan, Anitha 1 2012 Cryptography and zero knowledge. Zbl 1132.94006Mollin, R. A. 1 2006 Recognizing primes. Zbl 1155.11007Mollin, R. A. 1 2007 Continued fractions, Jacobi symbols, and quadratic Diophantine equations. Zbl 0973.11010Mollin, R. A.; van der Poorten, A. J. 1 2000 Orders in quadratic fields. IV. Zbl 0854.11053Mollin, R. A. 1 1995 The palindromic index – A measure of ambiguous cycles of reduced ideals without any ambiguous ideal in real quadratic orders. Zbl 0855.11054Mollin, Richard A. 1 1995 Class groups of exponent two in real quadratic fields. Zbl 0795.11057Louboutin, S.; Mollin, R. A.; Williams, H. C. 1 1993 A lower bound for the class number of a real quadratic field of ERD-type. Zbl 0798.11052Mollin, R. A.; Zhang, L.-C.; Kemp, Paula 1 1994 Reduced ideals, the divisor function, continued fractions and class numbers of real quadratic fields. Zbl 0803.11053Mollin, R. A.; Zhang, L.-C. 1 1993 Classification and enumeration of real quadratic fields having exactly one non-inert prime less than a Minkowski bound. Zbl 0803.11054Mollin, R. A.; Williams, H. C. 1 1993 Criteria for simultaneous solutions of \(X^2-DY^2=c\) and \(x^2-Dy^2=-c\). Zbl 1018.11012Mollin, R. A. 1 2002 Continued fractions beepers and Fibonacci numbers. Zbl 1041.11006Mollin, R. A.; Cheng, K. 1 2002 Pell equations: non-principal Lagrange criteria and central norms. Zbl 1296.11019Mollin, R. A.; Srinivasan, A. 3 2012 Residuacity and genus theory of forms. Zbl 1244.11091Mollin, Richard A.; Srinivasan, Anitha 1 2012 Algebraic number theory. 2nd revised ed. Zbl 1219.11001Mollin, Richard A. 3 2011 Advanced number theory with applications. Zbl 1200.11002Mollin, Richard A. 3 2010 Central norms: applications to Pell’s equation. Zbl 1247.11035Mollin, Richard A.; Srinivasan, Anitha 1 2010 An overview of sieve methods. Zbl 1219.11140Mollin, R. A. 1 2010 Class number two for real quadratic fields of Richaud-Degert type. Zbl 1224.11091Mollin, R. A. 3 2009 The Rabinowitsch-Mollin-Williams theorem revisited. Zbl 1290.11151Mollin, R. A. 1 2009 Characterization of \(D=P^2+Q^2\) when \(\gcd(P,Q)=1\) and \(x^2-Dy^2=-1\) has no integer solutions. Zbl 1218.11032Mollin, R. A. 1 2009 Cryptography and shift registers. Zbl 1170.94320Bruen, A. A.; Mollin, R. A. 1 2009 Fundamental number theory with applications. 2nd ed. Zbl 1175.11001Mollin, Richard A. 8 2008 The number of bounded solutions of norm-form equations via Pell equations and ambiguous classes of solutions. Zbl 1192.11019Mollin, R. A. 1 2008 Binary quadratic forms, ambiguous ideals, Markov numbers, and sums of squares. Zbl 1233.11040Mollin, R. A. 1 2008 An introduction to cryptography. 2nd ed. Zbl 1104.94032Mollin, Richard A. 4 2007 Recognizing primes. Zbl 1155.11007Mollin, R. A. 1 2007 Quadratic Diophantine equations \(x^2-Dy^2=c^n\). Zbl 1144.11025Mollin, Richard A. 3 2006 Cryptography and zero knowledge. Zbl 1132.94006Mollin, R. A. 1 2006 A note on the Diophantine equation \(D_1x^2+D_2=ak^n\). Zbl 1102.11019Mollin, R. A. 1 2005 A continued fraction approach to the Diophantine equation \(ax^2- by^2= \pm1\). Zbl 1056.11017Mollin, R. A. 5 2004 A description of continued fraction expansions of quadratic surds represented by polynomials. Zbl 1059.11010Mollin, R. A.; Goddard, B. 2 2004 On Tate-Shafarevich groups of \(y^2=x(x^2-k^2)\). Zbl 1097.11012Lemmermeyer, F.; Mollin, R. 3 2003 Construction of families of long continued fractions. Zbl 1047.11012Mollin, R. A. 1 2003 Infinite families of Pellian plynomials and their continued fraction expansions. Zbl 1034.11009Mollin, R. A. 1 2003 The Diophantine equation \(AX^2-BY^2=C\) solved via continued fractions. Zbl 1050.11030Mollin, R. A.; Cheng, K.; Goddard, B. 3 2002 Pellian polynomials and period lengths of continued fractions. Zbl 1021.11028Mollin, R. A.; Cheng, K.; Goddard, B. 2 2002 Criteria for simultaneous solutions of \(X^2-DY^2=c\) and \(x^2-Dy^2=-c\). Zbl 1018.11012Mollin, R. A. 1 2002 Continued fractions beepers and Fibonacci numbers. Zbl 1041.11006Mollin, R. A.; Cheng, K. 1 2002 The Diophantine equation \(ax^2-by^2=c\) and simple continued fractions. Zbl 1221.11081Mollin, R. A. 1 2002 Beepers, creepers, and sleepers. Zbl 1221.11014Mollin, R. A.; Cheng, K. 1 2002 Simple continued fraction solutions for Diophantine equations. Zbl 0983.11010Mollin, R. A. 6 2001 Polynomials of Pellian type and continued fractions. Zbl 0994.11004Mollin, R. A. 5 2001 An introduction to cryptography. Zbl 0985.94001Mollin, Richard Anthony 1 2001 A simple criterion for solvability of both \(X^2-DY^2=c\) and \(x^2-Dy^2=-c\). Zbl 0993.11016Mollin, R. A. 1 2001 Continued fractions and class number two. Zbl 0998.11061Mollin, Richard A. 1 2001 An upper bound on the least inert prime in a real quadratic field. Zbl 1053.11092Granville, Andrew; Mollin, R. A.; Williams, H. C. 4 2000 Rabinowitsch revisited. Zbl 0985.11040Granville, Andrew; Mollin, Richard A. 3 2000 Continued fraction gems. Zbl 1239.11010Mollin, R. A. 1 2000 Continued fractions, Jacobi symbols, and quadratic Diophantine equations. Zbl 0973.11010Mollin, R. A.; van der Poorten, A. J. 1 2000 Algebraic number theory. Zbl 0930.11001Mollin, Richard A. 23 1999 Cyclic subgroups of ideal class groups in real quadratic orders. Zbl 0990.11066Mollin, R. A. 1 1999 Fundamental number theory with applications. Zbl 0943.11001Mollin, Richard A. 11 1998 Class number one and prime-producing quadratic polynomials revisited. Zbl 0920.11078Mollin, R. A. 5 1998 All solutions of the Diophantine equation \(x^2- Dy^2= n\). Zbl 1114.11302Mollin, R. A. 4 1998 Jacobi symbols, ambiguous ideals, and continued fractions. Zbl 0916.11054Mollin, R. A. 1 1998 Polynomial solutions for Pell’s equation revisited. Zbl 0879.11014Mollin, R. A. 5 1997 Prime-producing quadratics. Zbl 0886.11053Mollin, R. A. 1 1997 Quadratics. Zbl 0858.11001Mollin, Richard A. 22 1996 Real prime-producing quadratics. Zbl 0888.11041Mollin, R. A. 7 1996 Solutions of diophantine equations, and divisibility of class numbers of complex quadratic fields. Zbl 0859.11058Mollin, R. A. 6 1996 Quadratic polynomials producing consecutive, distinct primes and class groups of complex quadratic fields. Zbl 0852.11060Mollin, R. A. 2 1996 An elementary proof of the Rabinowitsch-Mollin-Williams criterion for real quadratic fields. Zbl 1286.11171Mollin, R. A. 1 1996 A note on symmetry and ambiguity. Zbl 0824.11003Mollin, R. A.; van der Poorten, A. J. 2 1995 Orders in quadratic fields. IV. Zbl 0854.11053Mollin, R. A. 1 1995 The palindromic index – A measure of ambiguous cycles of reduced ideals without any ambiguous ideal in real quadratic orders. Zbl 0855.11054Mollin, Richard A. 1 1995 Orders in quadratic fields. III. Zbl 0809.11064Mollin, R. A. 4 1994 Halfway to a solution of \(x^ 2 - Dy^ 2 = -3\). Zbl 0820.11015Mollin, R. A.; van der Poorten, A. J.; Williams, H. C. 2 1994 A lower bound for the class number of a real quadratic field of ERD-type. Zbl 0798.11052Mollin, R. A.; Zhang, L.-C.; Kemp, Paula 1 1994 Ambiguous classes in quadratic fields. Zbl 0790.11076Mollin, R. A. 5 1993 Orders in quadratic fields. I. Zbl 0795.11056Mollin, R. A. 4 1993 Orders in quadratic fields. II. Zbl 0809.11063Mollin, R. A.; Zhang, L.-C. 4 1993 Class groups of exponent two in real quadratic fields. Zbl 0795.11057Louboutin, S.; Mollin, R. A.; Williams, H. C. 1 1993 Reduced ideals, the divisor function, continued fractions and class numbers of real quadratic fields. Zbl 0803.11053Mollin, R. A.; Zhang, L.-C. 1 1993 Classification and enumeration of real quadratic fields having exactly one non-inert prime less than a Minkowski bound. Zbl 0803.11054Mollin, R. A.; Williams, H. C. 1 1993 Computation of the class number of a real quadratic field. Zbl 0757.11036Mollin, R. A.; Williams, H. C. 9 1992 Class numbers of real quadratic fields, continued fractions, reduced ideals, prime-producing quadratic polynomials and quadratic residue covers. Zbl 0771.11039Louboutin, S.; Mollin, R. A.; Williams, H. C. 9 1992 Powers in continued fractions and class numbers of real quadratic fields. Zbl 0776.11002Mollin, R. A. 3 1992 A complete generalization of Yokoi’s \(p\)-invariants. Zbl 0762.11035Mollin, R. A.; Williams, H. C. 2 1992 On real quadratic fields of class number two. Zbl 0774.11061Mollin, R. A.; Williams, H. C. 2 1992 Consecutive powers in continued fractions. Zbl 0764.11010Mollin, R. A.; Williams, H. C. 1 1992 On a determination of real quadratic fields of class number one and related continued fraction period length less than 25. Zbl 0743.11062Mollin, R. A.; Williams, H. C. 6 1991 Applications of a new class number two criterion for real quadratic fields. Zbl 0734.11057Mollin, R. A. 4 1991 On a solution of a class number two problem for a family of real quadratic fields. Zbl 0734.11058Mollin, R. A.; Williams, H. C. 4 1991 Affirmative solution of a conjecture related to a sequence of Shanks. Zbl 0743.11063Mollin, R. A.; Williams, H. C. 1 1991 On the divisor function and class numbers of real quadratic fields. III. Zbl 0748.11053Mollin, R. A.; Williams, H. C. 1 1991 Powers of 2, continued fractions, and the class number one problem for real quadratic fields \(\mathbb{Q}(\sqrt d)\), with \(d\equiv 1\pmod 8\). Zbl 0771.11006Mollin, R. A.; Williams, H. C. 1 1991 Solution of the class number one problem for real quadratic fields of extended Richaud-Degert type (with one possible exception). Zbl 0696.12004Mollin, R. A.; Williams, H. C. 8 1990 On the divisor function and class numbers of real quadratic fields. I. Zbl 0714.11068Mollin, R. A. 5 1990 Solution of a problem of Yokoi. Zbl 0705.11060Mollin, R. A.; Williams, H. C. 4 1990 Class number problems for real quadratic fields. Zbl 0705.11057Mollin, R. A.; Williams, H. C. 2 1990 Class numbers bounded below by the divisor function. Zbl 0718.11055Mollin, R. A. 2 1990 On the divisor function and class numbers of real quadratic fields. II. Zbl 0723.11052Mollin, R. A. 2 1990 Continued fractions of period five and real quadratic fields of class number one. Zbl 0705.11059Mollin, R. A.; Williams, H. C. 1 1990 Prime producing quadratic polynomials and real quadratic fields of class number one. Zbl 0695.12002Mollin, R. A.; Williams, H. C. 8 1989 Class number one for real quadratic fields, continued fractions and reduced ideals. Zbl 0714.11067Mollin, R. A.; Williams, H. C. 5 1989 Number theory and applications. Proceedings of the NATO Advanced Study Institute held at Banff Centre, Canada, 27 April - 5 May 1988. Zbl 0676.00005 2 1989 Quadratic non-residues and prime-producing polynomials. Zbl 0714.11066Mollin, R. A.; Williams, H. C. 2 1989 Period four and real quadratic fields of class number one. Zbl 0705.11058Mollin, R. A.; Williams, H. C. 1 1989 On prime valued polynomials and class numbers of real quadratic fields. Zbl 0629.12004Mollin, R. A.; Williams, H. C. 11 1988 A conjecture of S. Chowla via the generalized Riemann hypothesis. Zbl 0649.12005Mollin, R. A.; Williams, H. C. 11 1988 Necessary and sufficient conditions for the class number of a real quadratic field to be one, and a conjecture of S. Chowla. Zbl 0673.12005Mollin, R. A. 6 1988 Invariants of group rings. Zbl 0665.16009DeMeyer, F. R.; Mollin, R. A. 1 1988 Generalized Fibonacci primitive roots, and class numbers of real quadratic fields. Zbl 0639.10006Mollin, R. A. 1 1988 On the insolubility of a class of diophantine equations and the nontriviality of the class numbers of related real quadratic fields of Richaud-Degert type. Zbl 0591.12005Mollin, R. A. 18 1987 Class number one criteria for real quadratic fields. I. Zbl 0625.12002Mollin, R. A. 8 1987 Lower bounds for class numbers of real quadratic and biquadratic fields. Zbl 0632.12006Mollin, R. A. 6 1987 On permutation polynomials over finite fields. Zbl 0626.12015Mollin, R. A.; Small, C. 3 1987 On unit solutions of the equation \(xyz=x+x+z\) in the ring of integers of a quadratic field. Zbl 0576.10009Mollin, R. A.; Small, C.; Varadarajan, K.; Walsh, P. G. 2 1987 Class numbers of quadratic fields determined by solvability of diophantine equations. Zbl 0611.12007Mollin, R. A. 2 1987 Class number one criteria for real quadratic fields. II. Zbl 0625.12003Mollin, R. A. 2 1987 On nonsquare powerful numbers. Zbl 0605.10008Mollin, R. A.; Walsh, P. G. 1 1987 ...and 31 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 294 Authors 52 Mollin, Richard Anthony 15 Williams, Hugh Cowie 8 Srinivasan, Anitha 7 Carmelo Interlando, J. 5 Byeon, Dongho 5 da Nóbrega Neto, Trajano Pires 4 Elia, Michele 4 Halter-Koch, Franz 4 Lee, Jungyun 3 Dantas Lopes, José Othon 3 Flores, André Luiz 3 Hoque, Azizul 3 Ito, Akiko 3 Lian, Shiguo 3 Louboutin, Stéphane R. 3 Mishra, Mohit 3 Pekin, Ayten 3 Sankari, Hasan 3 Tekcan, Ahmet 3 Tomita, Koshi 3 Yokoi, Hideo 2 Adam, David 2 Aktaş, Kevser 2 Asveld, Peter R. J. 2 Cahen, Paul-Jean 2 Cangul, Ismail Naci 2 Chakraborty, Kalyan 2 Chamizo Lorente, Fernando 2 Dahl, Alexander 2 DeMeyer, Frank R. 2 Dummit, David S. 2 Edgar, Hugh Maxwell 2 Fieker, Claus 2 Flynn, Eugene Victor 2 Fukshansky, Lenny 2 Henshaw, Glenn R. 2 Iavernaro, Felice 2 Ichimura, Humio 2 İşcan, Hülya 2 Issa, Ahmad 2 Jacobson, Michael John jun. 2 Karaali, Fitnat 2 Leonetti, Paolo 2 Levesque, Claude 2 Liao, Philip 2 Murty, Maruti Ram 2 Özkoç, Arzu 2 Poulakis, Dimitrios 2 Prince, Matthew 2 Steuding, Jörn 2 Sun, Xun 2 Trigiante, Donato 2 van der Poorten, Alfred J. 2 van Oystaeyen, Freddy 2 Webb, William A. 2 Whitehead, Samuel 2 Yokota, Hisashi 2 Zhang, Liangcheng 1 Abbaas, Omar 1 Abdelmadjid, Boudaoud 1 Abdo, Ahmad 1 Adler, Roy Lee 1 Aouissi, Siham 1 Asthana, Shivangi 1 Azizi, Abdelmalek 1 Bae, Sunghan 1 Baier, Stephan 1 Barańczuk, Stefan 1 Beidar, Konstantin Igorevich 1 Berndt, Bruce Carl 1 Bonciocat, Nicolae Ciprian 1 Bremner, Andrew 1 Broughan, Kevin A. 1 Bruen, Aiden A. 1 Buchmann, Johannes A. 1 Bunyawat, Aunyarat 1 Byard, Kevin 1 Byott, Nigel P. 1 Carus, Aydin 1 Cathelineau, Jean-Louis 1 Chabert, Jean-Luc 1 Chan, Heng Huat 1 Chapuy, Guillaume 1 Chen, Xi 1 Cheng, Daizhan 1 Choi, Eunmi 1 Choie, YoungJu 1 Chu, Wensong 1 Cipu, Mihai 1 Clark, Peter Louis 1 Contiero, André Luís 1 Cornacchia, Pietro 1 Crump, Kenny S. 1 Cuadra, Juan 1 Cubre, Paul 1 Daniels, Harris B. 1 Davis, Chad Tyler 1 del Río, Angel 1 Delmastro, Diego 1 Demirci, Musa ...and 194 more Authors all top 5 Cited in 92 Serials 40 Journal of Number Theory 27 Proceedings of the Japan Academy. 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Transaction A: Science 1 South East Asian Journal of Mathematics and Mathematical Sciences 1 International Journal of Quantum Information 1 African Diaspora Journal of Mathematics 1 Journal of Fixed Point Theory and Applications 1 Optimization Letters 1 Journal of Mathematical Cryptology 1 European Journal of Pure and Applied Mathematics 1 Asian-European Journal of Mathematics 1 Journal of Logic and Analysis 1 S\(\vec{\text{e}}\)MA Journal 1 Communications in Mathematics 1 Annales Mathématiques du Québec 1 Actes des Rencontres du C.I.R.M. 1 Matematicheskie Voprosy Kriptografii all top 5 Cited in 32 Fields 221 Number theory (11-XX) 19 Algebraic geometry (14-XX) 16 Information and communication theory, circuits (94-XX) 15 Associative rings and algebras (16-XX) 11 Group theory and generalizations (20-XX) 9 Computer science (68-XX) 7 Combinatorics (05-XX) 6 Commutative algebra (13-XX) 5 Dynamical systems and ergodic theory (37-XX) 4 Quantum theory (81-XX) 3 Field theory and polynomials (12-XX) 3 Real functions (26-XX) 3 Statistics (62-XX) 2 Topological groups, Lie groups (22-XX) 2 Measure and integration (28-XX) 2 Special functions (33-XX) 2 Difference and functional equations (39-XX) 2 Sequences, series, summability (40-XX) 2 Convex and discrete geometry (52-XX) 2 Manifolds and cell complexes (57-XX) 1 Mathematical logic and foundations (03-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 \(K\)-theory (19-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX) Citations by Year