Edit Profile (opens in new tab) Ribenboim, Paulo Co-Author Distance Author ID: ribenboim.paulo Published as: Ribenboim, Paulo; Ribenboim, P.; Ribenboim, Paul more...less External Links: MacTutor · MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef Documents Indexed: 250 Publications since 1949, including 30 Books 10 Contributions as Editor Biographic References: 2 Publications Co-Authors: 23 Co-Authors with 52 Joint Publications 554 Co-Co-Authors all top 5 Co-Authors 199 single-authored 18 Prieß-Crampe, Sibylla H. G. 8 McDaniel, Wayne L. 6 Gondard, Danielle 4 van den Dries, Lou 3 Bouvier, Alain 3 Contessa, Maria 2 Geramita, Anthony Vito 2 Keller, Wilfrid 1 Alling, Norman Larrabee 1 Benhissi, Ali 1 Bogoyavlenskij, Oleg Igorevich 1 Ciliberto, Ciro 1 Coleman, Albert John 1 de Azevedo, Alberto de Carvalho Peixoto 1 Elliott, George A. 1 Endler, Otto 1 Fiorentini, Mario 1 Glass, Andrew M. W. 1 Gulliksen, Tor Holtedahl 1 Herfort, Wolfgang N. 1 Kong, Tat Yung 1 Krull, Wolfgang 1 Leroux, Pierre 1 Ljunggren, Wilhelm 1 Micali, Artibano 1 Moser, Leo 1 Nagell, Trygve 1 Powell, Barry J. 1 Roquette, Peter 1 Sernesi, Edoardo 1 Sorani, Giuliano 1 Torelli, Ruggiero 1 Viswanathan, T. M. 1 Walsh, Peter Gareth all top 5 Serials 11 Queen’s Papers in Pure and Applied Mathematics 10 Journal für die Reine und Angewandte Mathematik 10 Comptes Rendus Mathématiques de l’Académie des Sciences 8 Archiv der Mathematik 8 Journal of Algebra 7 Journal of Number Theory 7 Comptes Rendus de l’Académie des Sciences. Série I 5 Acta Arithmetica 5 Mathematische Annalen 5 Mathematische Zeitschrift 5 L’Enseignement Mathématique. 2e Série 4 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 4 Portugaliae Mathematica 4 Publicationes Mathematicae Debrecen 4 Expositiones Mathematicae 3 Annali dell’Università di Ferrara. Nuova Serie. Sezione VII 3 Bollettino della Unione Matematica Italiana. Serie VIII. Sezione A. La Matematica nella Società e nella Cultura 3 Anais da Academia Brasileira de Ciências 3 Springer-Lehrbuch 2 Bulletin of the Australian Mathematical Society 2 Revue Roumaine de Mathématiques Pures et Appliquées 2 Mathematics Magazine 2 The Mathematical Intelligencer 2 Boletim da Sociedade Brasileira de Matemática 2 Bulletin des Sciences Mathématiques. Deuxième Série 2 Cahiers de Topologie et Géométrie Différentielle Catégoriques 2 Canadian Mathematical Bulletin 2 Illinois Journal of Mathematics 2 Manuscripta Mathematica 2 Mathematica Scandinavica 2 Proceedings of the American Mathematical Society 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Boletim da Sociedade Portuguesa de Matemática 2 Boletim da Sociedade Paranaense de Matemática. 2a Série 2 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 2 Journal of Fixed Point Theory and Applications 2 The College Mathematics Journal 1 Acta Mathematica Academiae Scientiarum Hungaricae 1 American Mathematical Monthly 1 Communications in Algebra 1 Periodica Mathematica Hungarica 1 Uspekhi Matematicheskikh Nauk [N. S.] 1 Algebra Universalis 1 Atti della Accademia Nazionale dei Lincei. Memorie. Classe di Scienze Fisiche, Matematiche e Naturali. Serie VIII. Sezione I (Matematica, Meccanica, Astronomia, Geodesia e Geofisica) 1 Boletin de Matematicas 1 Collectanea Mathematica 1 Colloquium Mathematicum 1 The Fibonacci Quarterly 1 Fundamenta Mathematicae 1 Geometriae Dedicata 1 Hiroshima Mathematical Journal 1 Journal of Pure and Applied Algebra 1 Mathematische Nachrichten 1 Nagoya Mathematical Journal 1 Nanta Mathematica 1 Pacific Journal of Mathematics 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 Rendiconti del Seminario Matematico della Università di Padova 1 Revista Colombiana de Matemáticas 1 Revista de la Unión Matemática Argentina 1 Studia Scientiarum Mathematicarum Hungarica 1 Tokyo Journal of Mathematics 1 Transactions of the American Mathematical Society 1 Bulletin of the Greek Mathematical Society 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Annals of Pure and Applied Logic 1 The Journal of Logic Programming 1 Forum Mathematicum 1 Bulletin de la Société Mathématique de Belgique. Série A 1 Notices of the American Mathematical Society 1 Nieuw Archief voor Wiskunde. Vierde Serie 1 Integers 1 International Journal of Number Theory 1 Bulletin de l’Académie Polonaise des Sciences, Série des Sciences Mathématiques, Astronomiques et Physiques 1 Studia Universitatis Babeș-Bolyai. Series Mathematica, Mechanica 1 Colloques Internationaux du Centre National de la Recherche Scientifique 1 Annales Universitatis Turkuensis. Ser. A I 1 Universitext 1 Springer Monographs in Mathematics 1 Interscience Tracts in Pure and Applied Mathematics 1 Boletim da Sociedade de Matemática de São Paulo 1 Séminaire de Mathématiques Supérieures all top 5 Fields 108 Number theory (11-XX) 62 Field theory and polynomials (12-XX) 49 Commutative algebra (13-XX) 21 History and biography (01-XX) 18 Associative rings and algebras (16-XX) 17 Algebraic geometry (14-XX) 15 General topology (54-XX) 13 Order, lattices, ordered algebraic structures (06-XX) 12 Group theory and generalizations (20-XX) 7 General and overarching topics; collections (00-XX) 6 Combinatorics (05-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 3 Mathematical logic and foundations (03-XX) 2 General algebraic systems (08-XX) 2 Real functions (26-XX) 2 Computer science (68-XX) 1 Nonassociative rings and algebras (17-XX) 1 Category theory; homological algebra (18-XX) 1 Ordinary differential equations (34-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 161 Publications have been cited 1,629 times in 1,156 Documents Cited by ▼ Year ▼ The new book of prime number records. 3rd ed. Zbl 0856.11001 Ribenboim, Paulo 103 1996 13 lectures on Fermat’s Last Theorem. Zbl 0456.10006 Ribenboim, Paulo 86 1979 My numbers, my friends. Popular lectures on number theory. Zbl 0947.11001 Ribenboim, Paulo 74 2000 Noetherian rings of generalized power series. Zbl 0761.13007 Ribenboim, Paulo 69 1992 The book of prime number records. Zbl 0642.10001 Ribenboim, Paulo 64 1988 Semisimple rings and von Neumann regular rings of generalized power series. Zbl 0890.16004 Ribenboim, Paulo 58 1997 Théorie des valuations. Zbl 0139.26201 Ribenboim, Paulo 57 1965 Fields of generalized power series. Zbl 0676.13010 Elliott, G. A.; Ribenboim, P. 47 1990 Special properties of generalized power series. Zbl 0852.13008 Ribenboim, Paulo 43 1995 Classical theory of algebraic numbers. Zbl 1082.11065 Ribenboim, Paulo 43 2001 The theory of classical valuations. Zbl 0957.12005 Ribenboim, Paulo 42 1999 Algebraic numbers. Zbl 0247.12002 Ribenboim, Paulo 41 1972 Fields: Algebraically closed and others. Zbl 0767.12001 Ribenboim, Paulo 40 1992 Rings of generalized power series. II: Units and zero-divisors. Zbl 0806.13011 Ribenboim, Paulo 40 1994 Catalan’s conjecture. Are 8 and 9 the only consecutive powers? Zbl 0824.11010 Ribenboim, Paulo 37 1994 The little book of bigger primes. 2nd ed. Zbl 1087.11001 Ribenboim, Paulo 34 2004 Fermat’s Last Theorem for amateurs. Zbl 0920.11016 Ribenboim, Paulo 29 1999 Rings and modules. Zbl 0198.05601 Ribenboim, Paulo 29 1969 The little book of big primes. Zbl 0734.11001 Ribenboim, Paulo 28 1991 Rings of generalized power series: Nilpotent elements. Zbl 0751.13005 Ribenboim, P. 26 1991 Equivalent forms of Hensel’s lemma. Zbl 0558.12014 Ribenboim, Paulo 23 1985 Generalized ultrametric spaces. I. Zbl 0922.54028 Priess-Crampe, S.; Ribenboim, P. 23 1996 The square terms in Lucas sequences. Zbl 0851.11011 Ribenboim, Paulo; McDaniel, Wayne L. 22 1996 Generalized ultrametric spaces. II. Zbl 0887.54029 Priess-Crampe, S.; Ribenboim, P. 21 1997 Fixed points, combs and generalized power series. Zbl 0788.06004 Prieß-Crampe, Sibylla; Ribenboim, Paulo 20 1993 L’arithmétique des corps. Zbl 0253.12101 Ribenboim, Paulo 18 1972 Prime number records (a new chapter for the Guinness book of records). Zbl 0642.10002 Ribenboim, P. 17 1987 Ultrametric spaces and logic programming. Zbl 0944.68027 Priess-Crampe, Sibylla; Ribenboim, Paulo 17 2000 The common point theorem for ultrametric spaces. Zbl 1035.54508 Priess-Crampe, Sibylla; Ribenboim, Paulo 16 1998 Le théorème d’approximation pour les valuations de Krull. Zbl 0102.03002 Ribenboim, Paulo 14 1957 Higher derivations of rings. II. Zbl 0233.16033 Ribenboim, P. 14 1971 Le 17e problème de Hilbert pour les matrices. Zbl 0298.12104 Gondard, Danielle; Ribenboim, Paulo 14 1974 Fixed point and attractor theorems for ultrametric spaces. Zbl 0944.54031 Priess-Crampe, Sibylla; Ribenboim, Paulo 13 2000 Anneaux de Rees intégralement clos. Zbl 0102.03001 Ribenboim, Paulo 13 1960 Catalan’s conjecture. Zbl 0866.11027 Ribenboim, Paulo 13 1996 Some examples of valued fields. Zbl 0846.12005 Ribenboim, Paulo 12 1995 Characterization of the sup-complement in a distributive lattice with last element. Zbl 0040.01003 Ribenboim, Paulo 12 1949 The new theory of ultrametric spaces. Zbl 0856.54033 Ribenboim, Paulo 11 1996 On the completion of a valuation ring. Zbl 0136.32102 Ribenboim, Paulo 10 1964 The absolute Galois group of a rational function field in characteristic zero is a semi-direct product. Zbl 0548.12013 van den Dries, Lou; Ribenboim, Paulo 8 1984 Ordering the set of antichains of an ordered set. Zbl 0840.06002 Ribenboim, Paulo 8 1995 On ordered modules. Zbl 0153.36801 Ribenboim, Paulo 8 1967 On Lucas sequence terms of the form \(kx^2\). Zbl 0962.11010 Ribenboim, Paulo; McDaniel, Wayne L. 7 2001 Higher derivations of rings. I. Zbl 0218.16017 Ribenboim, P. 7 1971 Generalized power series rings. Zbl 0757.06009 Ribenboim, P. 7 1990 Ultrametric dynamics. Zbl 1262.54014 Priess-Crampe, Sibylla; Ribenboim, Paulo 7 2011 Square classes of Fibonacci and Lucas numbers. Zbl 0687.10005 Ribenboim, P. 6 1989 Differential equations over valued fields (and more). Zbl 1068.12005 Priess-Crampe, Sibylla; Ribenboim, Paulo 6 2004 Sur une note de Nagata rélative à un problème de Krull. Zbl 0067.26801 Ribenboim, Paulo 6 1956 Un théorème de réalisation de groupes réticulés. Zbl 0104.02602 Ribenboim, Paulo 6 1960 An elementary note on group-rings. Zbl 0219.16008 Gulliksen, T.; Ribenboim, P.; Viswanathan, T. M. 6 1970 Polynomials whose values are powers. Zbl 0299.12103 Ribenboim, P. 6 1974 Torsion et localisation de groupes arbitraires. Zbl 0425.20032 Ribenboim, P. 6 1979 Equations in groups, with special emphasis on localization and torsion. II. Zbl 0655.20024 Ribenboim, P. 5 1987 Equivalence relations and spherically complete ultrametric spaces. Zbl 0829.54021 Priess-Crampe, Sibylla; Ribenboim, Paulo 5 1995 Square-classes in Lucas sequences having odd parameters. Zbl 0923.11037 McDaniel, Wayne L.; Ribenboim, Paulo 5 1998 Squares in Lucas sequences having an even first parameter. Zbl 0926.11008 Ribenboim, Paulo; McDaniel, Wayne L. 5 1998 The ABC conjecture and the powerful part of terms in binary recurring sequences. Zbl 0923.11033 Ribenboim, Paulo; Walsh, Gary 5 1999 Systems of differential equations over valued fields. Zbl 1163.12302 Priess-Crampe, Sibylla; Ribenboim, Paulo 5 2003 Corps maximaux et complets par des valuations de Krull. Zbl 0101.27601 Ribenboim, Paulo 5 1958 Remarques sur le prolongement des valuations de Krull. Zbl 0103.27003 Ribenboim, Paulo 5 1959 An existence theorem for fields with Krull valuations. Zbl 0108.26304 Ribenboim, Paulo 5 1962 Prime numbers: mysteries and records. (Nombres premiers: mystères et records.) Zbl 0842.11001 Ribenboim, Paulo 5 1994 Algebraic theory of higher-order derivations. Zbl 0246.17011 Ribenboim, P. 5 1969 Fonctions definies positives sur les variétés réelles. Zbl 0301.14007 Gondard, Danielle; Ribenboim, Paulo 5 1974 Equations in groups, with special emphasis on localization and torsion. I. Zbl 0801.20008 Ribenboim, Paulo 5 1987 The approximation to a fixed point. Zbl 1304.54091 Priess-Crampe, Sibylla; Ribenboim, Paulo 5 2013 Algebraic structures on graphs. Zbl 0515.05060 Ribenboim, P. 4 1983 The Fibonacci numbers and the Arctic Ocean. Zbl 0858.11011 Ribenboim, Paulo 4 1995 An algorithm to determine the points with integral coordinates in certain elliptic curves. Zbl 0923.11036 Ribenboim, Paulo 4 1999 Fermat’s equation for matrices or quaternions over \(q\)-adic fields. Zbl 1053.11026 Ribenboim, Paulo 4 2004 Théorie des groupes ordonnes. Zbl 0122.03603 Ribenboim, Paulo 4 1963 Square classes of Lucas sequences. Zbl 0760.11005 Ribenboim, P.; McDaniel, W. L. 4 1991 Euler’s famous prime generating polynomial and the class number of imaginary quadratic fields. Zbl 0663.12003 Ribenboim, Paulo 3 1988 Prime ideals in polynomial rings. Zbl 0482.13009 Bouvier, Alain; Contessa, Maria; Ribenboim, Paulo 3 1981 Collected papers. Edited by Paulo Ribenboim. 2 Volumes. (Gesammelte Abhandlungen. Herausgegeben von Paulo Ribenboim. 2 Bde.) Zbl 0935.01032 Krull, Wolfgang 3 1999 Logic programming and ultrametric spaces. Zbl 0987.54053 Priess-Crampe, S.; Ribenboim, P. 3 1999 Collected papers of Trygve Nagell. Vol. 1-4. Edited by Paulo Ribenboim. Zbl 0997.01010 Nagell, Trygve 3 2002 On square factors of terms of binary recurring sequences and the \(ABC\) conjecture. Zbl 0988.11004 Ribenboim, Paulo 3 2001 The immersion of ultrametric spaces into Hahn spaces. Zbl 1190.54017 Ribenboim, Paulo 3 2010 Collected papers of Wilhelm Ljunggren. Vols. 1 and 2. Edited by Paulo Ribenboim. Zbl 1049.11001 Ljunggren, Wilhelm 3 2003 Prime number records. Zbl 1291.97006 Ribenboim, Paulo 3 1994 Fonctions modulo un antifiltre. Zbl 0115.02104 Ribenboim, Paulo 3 1961 A short note on Henselian fields. Zbl 0145.27601 Ribenboim, Paulo 3 1967 Boolean powers. Zbl 0188.04602 Ribenboim, Paulo 3 1969 Valuations and lengths of constructible modules. Zbl 0327.13010 Ribenboim, P. 3 1976 La condition des chaines ascendantes pour les idéaux radicaux. (The ascending chain condition on radical ideals). Zbl 0599.13015 Ribenboim, Paulo 3 1985 Squares in fields of generalized power series. Zbl 0731.12008 Ribenboim, Paulo 3 1990 Some examples of valued fields. Zbl 0790.12003 Ribenboim, Paulo 3 1992 Homogeneous ultrametric spaces. Zbl 0866.54027 Priess-Crampe, S.; Ribenboim, P. 3 1996 Application de la théorie des modeles aux groupes de Galois de corps de fonctions. Zbl 0426.12004 Van den Dries, Lou; Ribenboim, Paulo 3 1979 Extension of Hironaka’s standard basis theorem for generalized power series. Zbl 0778.13019 Ribenboim, Paulo 3 1993 Ordered rings of generalized power series. Zbl 0798.06022 Benhissi, A.; Ribenboim, P. 3 1993 Density results on families of diophantine equations with finitely many solutions. Zbl 0804.11026 Ribenboim, P. 3 1993 Modules sur un anneau de Dedekind. Zbl 0049.16001 Ribenboim, Paulo 3 1952 “1093”. Zbl 0516.10001 Ribenboim, P. 2 1983 Higher order derivations of modules. Zbl 0532.16024 Ribenboim, Paulo 2 1985 Consecutive powers. Zbl 0537.10009 Ribenboim, P. 2 1984 Remarks on existentially closed fields and diophantine equations. Zbl 0545.12012 Ribenboim, Paulo 2 1984 The algebra of functions on a graph. Zbl 0552.05060 Ribenboim, P. 2 1982 The approximation to a fixed point. Zbl 1304.54091 Priess-Crampe, Sibylla; Ribenboim, Paulo 5 2013 Ultrametric dynamics. Zbl 1262.54014 Priess-Crampe, Sibylla; Ribenboim, Paulo 7 2011 The world of primes. Secrets and records. Transl. from the English by Jörg Richstein. Updated by Wilfrid Keller. 2nd completely revised and updated ed. (Die Welt der Primzahlen. Geheimnisse und Rekorde.) Zbl 1216.11001 Ribenboim, Paulo 1 2011 The immersion of ultrametric spaces into Hahn spaces. Zbl 1190.54017 Ribenboim, Paulo 3 2010 A remark on Polignac’s conjecture. Zbl 1195.11135 Ribenboim, Paulo 1 2009 The world of primes. Secrets and records. Transl. from the English by Jörg Richstein. Updated by Wilfrid Keller. (Die Welt der Primzahlen. Geheimnisse und Rekorde.) Zbl 1103.11001 Ribenboim, Paulo 2 2006 FFF: Favourite Fibonacci Flowers. Zbl 1101.11009 Ribenboim, Paul 1 2005 The little book of bigger primes. 2nd ed. Zbl 1087.11001 Ribenboim, Paulo 34 2004 Differential equations over valued fields (and more). Zbl 1068.12005 Priess-Crampe, Sibylla; Ribenboim, Paulo 6 2004 Fermat’s equation for matrices or quaternions over \(q\)-adic fields. Zbl 1053.11026 Ribenboim, Paulo 4 2004 Systems of differential equations over valued fields. Zbl 1163.12302 Priess-Crampe, Sibylla; Ribenboim, Paulo 5 2003 Collected papers of Wilhelm Ljunggren. Vols. 1 and 2. Edited by Paulo Ribenboim. Zbl 1049.11001 Ljunggren, Wilhelm 3 2003 The terms \(Cx^h\) \((h \geq 3)\) in Lucas sequences: an algorithm and applications to Diophantine equations. Zbl 1162.11310 Ribenboim, Paulo 2 2003 Collected papers of Trygve Nagell. Vol. 1-4. Edited by Paulo Ribenboim. Zbl 0997.01010 Nagell, Trygve 3 2002 Classical theory of algebraic numbers. Zbl 1082.11065 Ribenboim, Paulo 43 2001 On Lucas sequence terms of the form \(kx^2\). Zbl 0962.11010 Ribenboim, Paulo; McDaniel, Wayne L. 7 2001 On square factors of terms of binary recurring sequences and the \(ABC\) conjecture. Zbl 0988.11004 Ribenboim, Paulo 3 2001 The (ABC) Conjecture and the radical index of integers. Zbl 1031.11056 Ribenboim, Paulo 1 2001 My numbers, my friends. Popular lectures on number theory. Zbl 0947.11001 Ribenboim, Paulo 74 2000 Ultrametric spaces and logic programming. Zbl 0944.68027 Priess-Crampe, Sibylla; Ribenboim, Paulo 17 2000 Fixed point and attractor theorems for ultrametric spaces. Zbl 0944.54031 Priess-Crampe, Sibylla; Ribenboim, Paulo 13 2000 A general Hensel’s lemma. Zbl 0994.13008 Priess-Crampe, S.; Ribenboim, P. 2 2000 ABC candies. Zbl 1007.11013 Ribenboim, Paulo 2 2000 The theory of classical valuations. Zbl 0957.12005 Ribenboim, Paulo 42 1999 Fermat’s Last Theorem for amateurs. Zbl 0920.11016 Ribenboim, Paulo 29 1999 The ABC conjecture and the powerful part of terms in binary recurring sequences. Zbl 0923.11033 Ribenboim, Paulo; Walsh, Gary 5 1999 An algorithm to determine the points with integral coordinates in certain elliptic curves. Zbl 0923.11036 Ribenboim, Paulo 4 1999 Collected papers. Edited by Paulo Ribenboim. 2 Volumes. (Gesammelte Abhandlungen. Herausgegeben von Paulo Ribenboim. 2 Bde.) Zbl 0935.01032 Krull, Wolfgang 3 1999 Logic programming and ultrametric spaces. Zbl 0987.54053 Priess-Crampe, S.; Ribenboim, P. 3 1999 Homework! Zbl 0927.11012 Ribenboim, Paulo 1 1999 Binary recurring sequences and powers. I. Zbl 0948.11015 Ribenboim, Paulo 1 1999 Pell numbers, squares and cubes. Zbl 0923.11031 Ribenboim, Paulo 1 1999 The common point theorem for ultrametric spaces. Zbl 1035.54508 Priess-Crampe, Sibylla; Ribenboim, Paulo 16 1998 Square-classes in Lucas sequences having odd parameters. Zbl 0923.11037 McDaniel, Wayne L.; Ribenboim, Paulo 5 1998 Squares in Lucas sequences having an even first parameter. Zbl 0926.11008 Ribenboim, Paulo; McDaniel, Wayne L. 5 1998 Semisimple rings and von Neumann regular rings of generalized power series. Zbl 0890.16004 Ribenboim, Paulo 58 1997 Generalized ultrametric spaces. II. Zbl 0887.54029 Priess-Crampe, S.; Ribenboim, P. 21 1997 The new book of prime number records. 3rd ed. Zbl 0856.11001 Ribenboim, Paulo 103 1996 Generalized ultrametric spaces. I. Zbl 0922.54028 Priess-Crampe, S.; Ribenboim, P. 23 1996 The square terms in Lucas sequences. Zbl 0851.11011 Ribenboim, Paulo; McDaniel, Wayne L. 22 1996 Catalan’s conjecture. Zbl 0866.11027 Ribenboim, Paulo 13 1996 The new theory of ultrametric spaces. Zbl 0856.54033 Ribenboim, Paulo 11 1996 Homogeneous ultrametric spaces. Zbl 0866.54027 Priess-Crampe, S.; Ribenboim, P. 3 1996 Multiplicative structures on power series and the construction of skewfields. Zbl 0863.16037 Ribenboim, Paulo 2 1996 The square classes in Lucas sequences with odd parameters. Zbl 0882.11011 Ribenboim, Paulo; McDaniel, Wayne L. 1 1996 Special properties of generalized power series. Zbl 0852.13008 Ribenboim, Paulo 43 1995 Some examples of valued fields. Zbl 0846.12005 Ribenboim, Paulo 12 1995 Ordering the set of antichains of an ordered set. Zbl 0840.06002 Ribenboim, Paulo 8 1995 Equivalence relations and spherically complete ultrametric spaces. Zbl 0829.54021 Priess-Crampe, Sibylla; Ribenboim, Paulo 5 1995 The Fibonacci numbers and the Arctic Ocean. Zbl 0858.11011 Ribenboim, Paulo 4 1995 Rings of generalized power series. II: Units and zero-divisors. Zbl 0806.13011 Ribenboim, Paulo 40 1994 Catalan’s conjecture. Are 8 and 9 the only consecutive powers? Zbl 0824.11010 Ribenboim, Paulo 37 1994 Prime numbers: mysteries and records. (Nombres premiers: mystères et records.) Zbl 0842.11001 Ribenboim, Paulo 5 1994 Prime number records. Zbl 1291.97006 Ribenboim, Paulo 3 1994 Prime number records. Zbl 0829.11001 Ribenboim, Paulo 1 1994 Automorphisms of the ordered multiplicative group of positive rational numbers. Zbl 0807.06009 Glass, A. M. W.; Ribenboim, Paulo 1 1994 Chaining partially ordered sets. Zbl 0810.06003 Kong, Tat Yung; Ribenboim, Paulo 1 1994 Fixed points, combs and generalized power series. Zbl 0788.06004 Prieß-Crampe, Sibylla; Ribenboim, Paulo 20 1993 Extension of Hironaka’s standard basis theorem for generalized power series. Zbl 0778.13019 Ribenboim, Paulo 3 1993 Ordered rings of generalized power series. Zbl 0798.06022 Benhissi, A.; Ribenboim, P. 3 1993 Density results on families of diophantine equations with finitely many solutions. Zbl 0804.11026 Ribenboim, P. 3 1993 Multiplicative structures on power series and the construction of skewfields. Zbl 0795.16031 Ribenboim, Paulo 2 1993 Noetherian rings of generalized power series. Zbl 0761.13007 Ribenboim, Paulo 69 1992 Fields: Algebraically closed and others. Zbl 0767.12001 Ribenboim, Paulo 40 1992 Some examples of valued fields. Zbl 0790.12003 Ribenboim, Paulo 3 1992 Squares and double-squares in Lucas sequences. Zbl 0771.11012 McDaniel, Wayne L.; Ribenboim, Paulo 2 1992 The little book of big primes. Zbl 0734.11001 Ribenboim, Paulo 28 1991 Rings of generalized power series: Nilpotent elements. Zbl 0751.13005 Ribenboim, P. 26 1991 Square classes of Lucas sequences. Zbl 0760.11005 Ribenboim, P.; McDaniel, W. L. 4 1991 On the factorization of \(X^ n - BX - A\). Zbl 0758.12002 Ribenboim, P. 2 1991 Prime number records. Zbl 0817.11003 Ribenboim, Paulo 1 1991 Fields of generalized power series. Zbl 0676.13010 Elliott, G. A.; Ribenboim, P. 47 1990 Generalized power series rings. Zbl 0757.06009 Ribenboim, P. 7 1990 Squares in fields of generalized power series. Zbl 0731.12008 Ribenboim, Paulo 3 1990 Algebraic extensions of fields of generalized power series. Zbl 0731.12009 Ribenboim, Paulo 1 1990 Square classes of Fibonacci and Lucas numbers. Zbl 0687.10005 Ribenboim, P. 6 1989 Square classes of \((a^n-1)/(a-1)\) and \(a^n+1\). Zbl 0709.11014 Ribenboim, Paulo 1 1989 The book of prime number records. Zbl 0642.10001 Ribenboim, Paulo 64 1988 Euler’s famous prime generating polynomial and the class number of imaginary quadratic fields. Zbl 0663.12003 Ribenboim, Paulo 3 1988 Powerless in face of the powers. (Impuissants devant les puissances.) Zbl 0635.10013 Ribenboim, P. 1 1988 Power series over Mori domains. Zbl 0699.13009 Ribenboim, P. 1 1988 Prime number records (a new chapter for the Guinness book of records). Zbl 0642.10002 Ribenboim, P. 17 1987 Equations in groups, with special emphasis on localization and torsion. II. Zbl 0655.20024 Ribenboim, P. 5 1987 Equations in groups, with special emphasis on localization and torsion. I. Zbl 0801.20008 Ribenboim, Paulo 5 1987 An application of Tarski’s principle to absolute Galois groups of function fields. Zbl 0645.12009 van den Dries, Lou; Ribenboim, Paulo 1 1987 An application of Tarski’s principle to absolute Galois groups of function fields. Zbl 0645.12010 van den Dries, Lou; Ribenboim, P. 1 1986 Equivalent forms of Hensel’s lemma. Zbl 0558.12014 Ribenboim, Paulo 23 1985 La condition des chaines ascendantes pour les idéaux radicaux. (The ascending chain condition on radical ideals). Zbl 0599.13015 Ribenboim, Paulo 3 1985 Higher order derivations of modules. Zbl 0532.16024 Ribenboim, Paulo 2 1985 An extension of Sophie Germain’s method to a wide class of diophantine equations. Zbl 0546.10013 Ribenboim, P. 1 1985 Note on a paper by M. Filaseta regarding Fermat’s last theorem. Zbl 0564.10014 Powell, Barry; Ribenboim, Paulo 1 1985 Representation of real numbers by means of Fibonacci numbers. Zbl 0587.10003 Ribenboim, Paulo 1 1985 The absolute Galois group of a rational function field in characteristic zero is a semi-direct product. Zbl 0548.12013 van den Dries, Lou; Ribenboim, Paulo 8 1984 Consecutive powers. Zbl 0537.10009 Ribenboim, P. 2 1984 Remarks on existentially closed fields and diophantine equations. Zbl 0545.12012 Ribenboim, Paulo 2 1984 Localization of profinite groups. Zbl 0544.20026 Herfort, W.; Ribenboim, P. 1 1984 Algebraic structures on graphs. Zbl 0515.05060 Ribenboim, P. 4 1983 “1093”. Zbl 0516.10001 Ribenboim, P. 2 1983 Active sums of profinite groups. Zbl 0604.20029 Ribenboim, P. 1 1983 The algebra of functions on a graph. Zbl 0552.05060 Ribenboim, P. 2 1982 ...and 61 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,255 Authors 38 Ribenboim, Paulo 18 Keskin, Refik 18 Shamseddine, Khodr 17 Liu, Zhong-kui 16 Luca, Florian 13 Kuhlmann, Franz-Viktor 13 Moussavi, Ahmad 11 Mazurek, Ryszard 11 Paykan, Kamal 10 Ziembowski, Michał 9 Mihăilescu, Preda 9 Prieß-Crampe, Sibylla H. G. 9 Zanardo, Paolo 8 Agoh, Takashi 8 Dilcher, Karl 8 Mignotte, Maurice 7 Montinaro, Alessandro 7 Olberding, Bruce M. 7 Şiar, Zafer 7 Wadsworth, Adrian R. 6 Khanduja, Sudesh K. 6 Moree, Pieter 6 Srinivasan, Anitha 6 Sun, Zhi-Wei 5 Alhevaz, Abdollah 5 Bugeaud, Yann 5 Deschamps, Bruno 5 Dovgoshey, Oleksiy Alfredovich 5 Granville, Andrew James 5 Hashemi, Ebrahim 5 Karaatli, Olcay 5 Kedlaya, Kiran Sridhara 5 Kumar, D. Ramesh 5 Mamghaderi, Hamid 5 Marques, Diego 5 Mikhalëv, Aleksandr Vasil’evich 5 Pitchaimani, M. 5 Sanna, Carlo 5 Spirito, Dario 5 Trojovský, Pavel 5 Varadarajan, Kalathoor 4 Anderson, Daniel D. 4 Anderson, David Fenimore 4 Biliotti, Mauro 4 Casacuberta, Carles 4 Crandall, Richard E. 4 Garcia, Stephan Ramon 4 Heinzer, William J. 4 Juett, Jason Robert 4 Katayama, Shin-ichi 4 Masiha, Hashem Parvaneh 4 Meštrović, Romeo 4 Miyazaki, Takafumi 4 Mollin, Richard Anthony 4 Ochsenius Alarcón, Maria Herminia 4 Öğüt, Ümmügülsüm 4 Oh, Dong Yeol 4 Peruginelli, Giulio 4 Skula, Ladislav 4 Tuganbaev, Askar Akanovich 4 Viswanathan, T. M. 4 Ziegler, Volker 3 Andrica, Dorin 3 Aroca, Fuensanta 3 Atanassov, Krassimir Todorov 3 Barría Comicheo, Angel 3 Bennett, Michael A. 3 Bitim, Bahar Demirtürk 3 Browkin, Jerzy 3 Brown, Ron 3 Byott, Nigel P. 3 Cimprič, Jaka 3 Cutkosky, Steven Dale 3 Del Centina, Andrea 3 Dichi, Henri 3 Dobbs, David Earl 3 Dubner, Harvey 3 Efrat, Ido 3 Elsholtz, Christian 3 Endler, Otto 3 Engler, Antonio José 3 Fontana, Marco 3 Geroldinger, Alfred 3 Helou, Charles 3 Hitzler, Pascal 3 Indlekofer, Karl-Heinz 3 Jakubík, Ján 3 Jarden, Moshe 3 Jung, Soon-Mo 3 Khassa, Ramneek 3 Kim, Hwankoo 3 Kishi, Yasuhiro 3 Kraus, Alain 3 Krylov, Pëtr Andreevich 3 Kuhlmann, Katarzyna 3 Kuhlmann, Salma 3 Lazaiz, Samih 3 Le, Maohua 3 Lim, Jung Wook 3 Madritsch, Manfred G. ...and 1,155 more Authors all top 5 Cited in 284 Serials 82 Journal of Number Theory 66 Journal of Algebra 63 Communications in Algebra 33 Transactions of the American Mathematical Society 32 Journal of Pure and Applied Algebra 28 Mathematics of Computation 20 Archiv der Mathematik 20 Proceedings of the American Mathematical Society 17 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications 16 Manuscripta Mathematica 16 Integers 15 Mathematische Annalen 14 Journal of Algebra and its Applications 13 Mathematica Slovaca 13 Mathematische Zeitschrift 13 Journal de Théorie des Nombres de Bordeaux 12 The Ramanujan Journal 12 International Journal of Number Theory 11 Rocky Mountain Journal of Mathematics 11 Annales Mathématiques Blaise Pascal 10 Periodica Mathematica Hungarica 10 Czechoslovak Mathematical Journal 10 Rendiconti del Seminario Matematico della Università di Padova 9 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 9 Algebra Universalis 9 Linear Algebra and its Applications 9 Acta Mathematica Sinica. English Series 9 Asian-European Journal of Mathematics 8 The Mathematical Intelligencer 8 Acta Arithmetica 8 Expositiones Mathematicae 8 Journal of Discrete Mathematical Sciences & Cryptography 7 Bulletin of the Australian Mathematical Society 7 Journal für die Reine und Angewandte Mathematik 6 American Mathematical Monthly 6 Israel Journal of Mathematics 6 Mathematical Notes 6 Applied Mathematics and Computation 6 Proceedings of the Japan Academy. Series A 6 Topology and its Applications 6 Designs, Codes and Cryptography 6 Indagationes Mathematicae. New Series 6 Experimental Mathematics 6 Finite Fields and their Applications 6 Mediterranean Journal of Mathematics 5 Discrete Mathematics 5 Duke Mathematical Journal 5 Inventiones Mathematicae 5 Journal of Soviet Mathematics 5 Rendiconti del Circolo Matemàtico di Palermo. Serie II 5 Results in Mathematics 5 Theoretical Computer Science 5 Bulletin of the Korean Mathematical Society 5 Acta Mathematica Hungarica 5 Journal of Mathematical Sciences (New York) 5 Turkish Journal of Mathematics 5 Journal of Integer Sequences 4 International Journal of Mathematical Education in Science and Technology 4 Journal of Mathematical Analysis and Applications 4 The Mathematical Gazette 4 Mathematische Semesterberichte 4 Compositio Mathematica 4 Functiones et Approximatio. Commentarii Mathematici 4 The Journal of Symbolic Logic 4 Michigan Mathematical Journal 4 Annals of Pure and Applied Logic 4 Order 4 Elemente der Mathematik 4 Glasnik Matematički. Serija III 4 Applicable Algebra in Engineering, Communication and Computing 4 Abstract and Applied Analysis 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 JP Journal of Algebra, Number Theory and Applications 4 Journal of Fixed Point Theory and Applications 4 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 3 Computers & Mathematics with Applications 3 Indian Journal of Pure & Applied Mathematics 3 Boletim da Sociedade Brasileira de Matemática 3 Cahiers de Topologie et Géométrie Différentielle Catégoriques 3 Geometriae Dedicata 3 Journal of Combinatorial Theory. Series A 3 Journal of Geometry 3 Mathematika 3 Ricerche di Matematica 3 Semigroup Forum 3 Journal of Symbolic Computation 3 Forum Mathematicum 3 Bulletin of the American Mathematical Society. New Series 3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 3 Arab Journal of Mathematical Sciences 3 Honam Mathematical Journal 3 Soft Computing 3 Journal of Inequalities and Applications 3 Journal of the Australian Mathematical Society 3 Hacettepe Journal of Mathematics and Statistics 3 Advances in Difference Equations 3 Journal of Commutative Algebra 3 Afrika Matematika 3 Open Mathematics ...and 184 more Serials all top 5 Cited in 54 Fields 537 Number theory (11-XX) 194 Commutative algebra (13-XX) 172 Field theory and polynomials (12-XX) 169 Associative rings and algebras (16-XX) 86 Group theory and generalizations (20-XX) 78 Order, lattices, ordered algebraic structures (06-XX) 76 Algebraic geometry (14-XX) 59 Combinatorics (05-XX) 52 General topology (54-XX) 43 Mathematical logic and foundations (03-XX) 32 Linear and multilinear algebra; matrix theory (15-XX) 26 Real functions (26-XX) 26 Operator theory (47-XX) 23 Computer science (68-XX) 19 Category theory; homological algebra (18-XX) 18 Functional analysis (46-XX) 17 Information and communication theory, circuits (94-XX) 16 Geometry (51-XX) 14 General algebraic systems (08-XX) 12 History and biography (01-XX) 12 Dynamical systems and ergodic theory (37-XX) 9 Several complex variables and analytic spaces (32-XX) 9 Algebraic topology (55-XX) 8 Special functions (33-XX) 8 Numerical analysis (65-XX) 7 General and overarching topics; collections (00-XX) 7 Difference and functional equations (39-XX) 7 Probability theory and stochastic processes (60-XX) 6 Nonassociative rings and algebras (17-XX) 6 Sequences, series, summability (40-XX) 6 Convex and discrete geometry (52-XX) 6 Manifolds and cell complexes (57-XX) 5 Mathematics education (97-XX) 4 Measure and integration (28-XX) 4 Functions of a complex variable (30-XX) 4 Partial differential equations (35-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Operations research, mathematical programming (90-XX) 3 Ordinary differential equations (34-XX) 3 Statistics (62-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Systems theory; control (93-XX) 2 \(K\)-theory (19-XX) 2 Topological groups, Lie groups (22-XX) 2 Approximations and expansions (41-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Differential geometry (53-XX) 2 Quantum theory (81-XX) 2 Biology and other natural sciences (92-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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