Edit Profile (opens in new tab) Viola, Carlo Compute Distance To: Compute Author ID: viola.carlo Published as: Viola, Carlo; Viola, C. Documents Indexed: 39 Publications since 1973, including 1 Book 4 Contributions as Editor Co-Authors: 17 Co-Authors with 23 Joint Publications 387 Co-Co-Authors all top 5 Co-Authors 18 single-authored 6 Rhin, Georges 3 Perelli, Alberto 3 Schlickewei, Hans Peter 2 Goldfeld, Dorian Morris 2 Pappalardi, Francesco 2 Zudilin, Wadim 1 Amoroso, Francesco Antonio 1 Dvornicich, Roberto 1 Galbiati, Giulia 1 Giacardi, Livia 1 Maffioli, Francesco 1 Marcovecchio, Raffaele 1 Pinna, Francesco 1 Roero, Clara Silvia 1 Salerno, Saverio 1 Zaccagnini, Alessandro 1 Zannier, Umberto M. all top 5 Serials 6 Acta Arithmetica 4 Rendiconti del Seminario Matematico 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 2 Functiones et Approximatio. Commentarii Mathematici 2 Bollettino della Unione Matematica Italiana. Serie VIII. Sezione A. La Matematica nella Società e nella Cultura 2 Rivista di Matematica della Università di Parma. Serie 7 2 Moscow Journal of Combinatorics and Number Theory 1 Annales de l’Institut Fourier 1 Bulletin de la Société Mathématique de France 1 Journal of the London Mathematical Society. Second Series 1 Journal of Number Theory 1 Journal für die Reine und Angewandte Mathematik 1 Transactions of the American Mathematical Society 1 Journal of Complexity 1 Journal de Théorie des Nombres de Bordeaux 1 Journal of Mathematical Sciences (New York) 1 Journal of the Australian Mathematical Society 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Lecture Notes in Mathematics 1 Unitext 1 Archimede 1 Bollettino dell’Unione Matematica Italiana. Series IX 1 La Matematica nella Società e nella Cultura. Serie I all top 5 Fields 41 Number theory (11-XX) 8 Special functions (33-XX) 7 Algebraic geometry (14-XX) 4 General and overarching topics; collections (00-XX) 3 Functions of a complex variable (30-XX) 2 History and biography (01-XX) 2 Group theory and generalizations (20-XX) 1 Combinatorics (05-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Approximations and expansions (41-XX) 1 Computer science (68-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 29 Publications have been cited 148 times in 101 Documents Cited by ▼ Year ▼ On a permutation group related to \(\zeta (2)\). Zbl 0864.11037Rhin, Georges; Viola, Carlo 32 1996 The group structure for \(\zeta(3)\). Zbl 1004.11042Rhin, Georges; Viola, Carlo 24 2001 Mean values of L-functions associated to elliptic, Fermat and other curves at the centre of the critical strip. Zbl 0409.10029Goldfeld, D.; Viola, C. 15 1979 Some remarks on Beukers’ integrals. Zbl 0755.11019Dvornicich, R.; Viola, C. 9 1990 Approximation measures for logarithms of algebraic numbers. Zbl 1008.11028Amoroso, Francesco; Viola, Carlo 8 2001 On Dyson’s lemma. Zbl 0596.10032Viola, Carlo 6 1985 On Siegel’s method in diophantine approximation to transcendental numbers. Zbl 0873.11043Viola, C. 5 1995 Hypergeometric functions and irrationality measures. Zbl 0904.11020Viola, Carlo 5 1997 Arithmetic theory of elliptic curves. Lectures given at the 3rd session of the Centro Internazionale Matematico Estivo (CIME), Cetraro, Italy, July 12–19, 1997. Zbl 0924.00032 4 1999 On the irrationality measure of \(\zeta (2)\). Zbl 0776.11036Rhin, G.; Viola, C. 4 1993 Diophantine approximation in short intervals. Zbl 0424.10022Viola, C. 4 1979 The permutation group method for the dilogarithm. Zbl 1170.11316Viola, Carlo; Rhin, Georges 4 2005 On the Diophantine equations \(\prod\limits_0^k x_i- \sum\limits_0^k x_i=n\) and \(\sum\limits_0^k 1/x_i=a/n\). Zbl 0266.10016Viola, C. 3 1973 Generalized Vandermonde determinants. Zbl 0962.11021Schlickewei, Hans Peter; Viola, Carlo 3 2000 Irrationality and nonquadraticity measures for logarithms of algebraic numbers. Zbl 1271.11076Marcovecchio, Raffaele; Viola, Carlo 3 2012 Linear independence of dilogarithmic values. Zbl 1454.11131Viola, Carlo; Zudilin, Wadim 2 2018 An introduction to special functions. Zbl 1364.33001Viola, Carlo 2 2016 Multiple integrals and linear forms in zeta-values. Zbl 1193.11073Rhin, Georges; Viola, Carlo 2 2007 Linear independence of 1, \(\operatorname{Li}_1\) and \(\operatorname{Li}_2\). Zbl 1450.11074Rhin, Georges; Viola, Carlo 2 2019 Birational transformations and values of the Riemann zeta-function. Zbl 1074.11041Viola, Carlo 2 2003 Hypergeometric transformations of linear forms in one logarithm. Zbl 1205.33008Viola, Carlo; Zudilin, Wadim 1 2008 On large sieve type estimates for the Dirichlet series operator. Zbl 0268.10027Forti, M.; Viola, C. 1 1973 Density estimates for the zeros of L-functions. Zbl 0268.10028Forti, M.; Viola, C. 1 1973 Polynomials that divide many trinomials. Zbl 0868.11048Schlickewei, Hans Peter; Viola, Carlo 1 1997 Some conjectures on elliptic curves over cyclotomic fields. Zbl 0509.14021Goldfeld, D.; Viola, C. 1 1983 Polynomials that divide many \(k\)-nomials. Zbl 0928.11016Schlickewei, Hans Peter; Viola, Carlo 1 1999 The arithmetic of Euler’s integrals. Zbl 1166.11340Viola, Carlo 1 2004 On simultaneous approximations to zeta-values. Zbl 1368.11064Viola, Carlo 1 2013 The saddle-point method in \(\mathbb{C}^N\) and the generalized Airy functions. (La méthode du col dans CNCN et les fonctions d’Airy généralisées.) Zbl 1472.41018Pinna, Francesco; Viola, Carlo 1 2019 Linear independence of 1, \(\operatorname{Li}_1\) and \(\operatorname{Li}_2\). Zbl 1450.11074Rhin, Georges; Viola, Carlo 2 2019 The saddle-point method in \(\mathbb{C}^N\) and the generalized Airy functions. (La méthode du col dans CNCN et les fonctions d’Airy généralisées.) Zbl 1472.41018Pinna, Francesco; Viola, Carlo 1 2019 Linear independence of dilogarithmic values. Zbl 1454.11131Viola, Carlo; Zudilin, Wadim 2 2018 An introduction to special functions. Zbl 1364.33001Viola, Carlo 2 2016 On simultaneous approximations to zeta-values. Zbl 1368.11064Viola, Carlo 1 2013 Irrationality and nonquadraticity measures for logarithms of algebraic numbers. Zbl 1271.11076Marcovecchio, Raffaele; Viola, Carlo 3 2012 Hypergeometric transformations of linear forms in one logarithm. Zbl 1205.33008Viola, Carlo; Zudilin, Wadim 1 2008 Multiple integrals and linear forms in zeta-values. Zbl 1193.11073Rhin, Georges; Viola, Carlo 2 2007 The permutation group method for the dilogarithm. Zbl 1170.11316Viola, Carlo; Rhin, Georges 4 2005 The arithmetic of Euler’s integrals. Zbl 1166.11340Viola, Carlo 1 2004 Birational transformations and values of the Riemann zeta-function. Zbl 1074.11041Viola, Carlo 2 2003 The group structure for \(\zeta(3)\). Zbl 1004.11042Rhin, Georges; Viola, Carlo 24 2001 Approximation measures for logarithms of algebraic numbers. Zbl 1008.11028Amoroso, Francesco; Viola, Carlo 8 2001 Generalized Vandermonde determinants. Zbl 0962.11021Schlickewei, Hans Peter; Viola, Carlo 3 2000 Arithmetic theory of elliptic curves. Lectures given at the 3rd session of the Centro Internazionale Matematico Estivo (CIME), Cetraro, Italy, July 12–19, 1997. Zbl 0924.00032 4 1999 Polynomials that divide many \(k\)-nomials. Zbl 0928.11016Schlickewei, Hans Peter; Viola, Carlo 1 1999 Hypergeometric functions and irrationality measures. Zbl 0904.11020Viola, Carlo 5 1997 Polynomials that divide many trinomials. Zbl 0868.11048Schlickewei, Hans Peter; Viola, Carlo 1 1997 On a permutation group related to \(\zeta (2)\). Zbl 0864.11037Rhin, Georges; Viola, Carlo 32 1996 On Siegel’s method in diophantine approximation to transcendental numbers. Zbl 0873.11043Viola, C. 5 1995 On the irrationality measure of \(\zeta (2)\). Zbl 0776.11036Rhin, G.; Viola, C. 4 1993 Some remarks on Beukers’ integrals. Zbl 0755.11019Dvornicich, R.; Viola, C. 9 1990 On Dyson’s lemma. Zbl 0596.10032Viola, Carlo 6 1985 Some conjectures on elliptic curves over cyclotomic fields. Zbl 0509.14021Goldfeld, D.; Viola, C. 1 1983 Mean values of L-functions associated to elliptic, Fermat and other curves at the centre of the critical strip. Zbl 0409.10029Goldfeld, D.; Viola, C. 15 1979 Diophantine approximation in short intervals. Zbl 0424.10022Viola, C. 4 1979 On the Diophantine equations \(\prod\limits_0^k x_i- \sum\limits_0^k x_i=n\) and \(\sum\limits_0^k 1/x_i=a/n\). Zbl 0266.10016Viola, C. 3 1973 On large sieve type estimates for the Dirichlet series operator. Zbl 0268.10027Forti, M.; Viola, C. 1 1973 Density estimates for the zeros of L-functions. Zbl 0268.10028Forti, M.; Viola, C. 1 1973 all cited Publications top 5 cited Publications all top 5 Cited by 98 Authors 12 Zudilin, Wadim 9 Viola, Carlo 6 Marcovecchio, Raffaele 5 Rivoal, Tanguy 4 Fischler, Stéphane 4 Hata, Masayoshi 3 Andrade, Julio Cesar 3 Jung, Hwanyup 3 Rhin, Georges 2 Amoroso, Francesco Antonio 2 Bashmakova, Mariya Gennad’evna 2 Bombieri, Enrico 2 Goldfeld, Dorian Morris 2 Karatsuba, Ekaterina Anatol’evna 2 Nakamaye, Michael 2 Papi Frosali, Gloria 2 Salikhov, Vladislav Khasanovich 2 Sal’nikova, E. S. 2 Tomashevskaya, Elena Bronislavovna 2 Wuthrich, Christian 2 Zagier, Don Bernard 1 Androsenko, V. A. 1 Bae, Sunghan 1 Balasubramanian, Ramachandran 1 Beukers, Frits 1 Bovykin, Andrey I. 1 Bundschuh, Peter 1 Cantarini, Marco 1 Charlier, Christophe 1 Chen, Yonggao 1 Chinta, Gautam 1 Chu, Wenchang 1 Corvaja, Pietro 1 Dai, Xinrong 1 Dauguet, Simon 1 D’Aurizio, Jacopo 1 David, Chantal 1 de Camargo, André Pierro 1 Derksen, Harm 1 Dupont, Clément 1 Dutta Gupta, Shamita 1 Elad Altman, Henri 1 Evertse, Jan-Hendrik 1 Fearnley, Jack 1 Fiorilli, Daniel 1 Fomenko, Oleg Mstislavovich 1 Golubeva, Elena P. 1 Gong, Ming-Liang 1 Göral, Haydar 1 Hessami Pilehrood, Khodabakhsh 1 Hessami Pilehrood, Tatiana 1 Hoffstein, Jeffrey 1 Hoorfar, Abdolhossein 1 Huang, Jingjing 1 Huttner, Marc 1 Iwaniec, Henryk 1 Kisilevsky, Hershy 1 Klinker, Frank 1 Kohnen, Winfried 1 Krattenthaler, Christian Friedrich 1 Kühne, Lars 1 Lenells, Jonatan 1 Luca, Florian 1 Luchin, Mikhaĭl Yur’evich 1 Masser, David William 1 Mauersberger, Julian 1 Mazur, Barry 1 Montgomery, Hugh Lowell 1 Nesterenko, Yuriĭ Valentinovich 1 Panchishkin, Alexei A. 1 Polyanskiĭ, Aleksandr Andreevich 1 Pucci, Carlo 1 Qi, Feng 1 Ralaivaosaona, Dimbinaina 1 Rebolledo, Marusia 1 Reineke, Christoph 1 Sertbaş, Doğa Can 1 Shamesaldeen, Asmaa 1 Sprung, Florian Ito 1 Stankus, Eugenijus 1 Subburam, Sivanarayanapandian 1 Ramdorai, Sujatha 1 Takhtajan, Leon Armenovich 1 Togbé, Alain 1 van der Poorten, Alfred J. 1 Vaughan, Robert C. 1 Vergnaud, Damien 1 Vesella, Sergio 1 Vinogradov, Askol’d Ivanovich 1 Vitolo, Antonio 1 Vojta, Paul Alan 1 Wang, Xiaoxia 1 Wu, Qiang 1 Yager, Rodney Ian 1 Yuldasheva, Asal V. 1 Zeilberger, Doron 1 Zhu, Meng 1 Zolotukhina, Ekaterina Sergeevna all top 5 Cited in 57 Serials 9 Journal de Théorie des Nombres de Bordeaux 7 Inventiones Mathematicae 5 Mathematical Notes 4 Journal of Number Theory 4 Transactions of the American Mathematical Society 4 Journal of Mathematical Sciences (New York) 3 Annales de l’Institut Fourier 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 3 Journal of Soviet Mathematics 3 Indagationes Mathematicae. New Series 2 Problems of Information Transmission 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Journal of Computational and Applied Mathematics 2 Proceedings of the American Mathematical Society 2 Boletín de la Sociedad Matemática Mexicana. Third Series 2 The Ramanujan Journal 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 2 International Journal of Number Theory 1 Communications in Mathematical Physics 1 Israel Journal of Mathematics 1 Lithuanian Mathematical Journal 1 Moscow University Mathematics Bulletin 1 Periodica Mathematica Hungarica 1 Mathematics of Computation 1 Compositio Mathematica 1 Glasgow Mathematical Journal 1 Journal of Approximation Theory 1 Journal of the London Mathematical Society. Second Series 1 Journal of Pure and Applied Algebra 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Monatshefte für Mathematik 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Proceedings of the Japan Academy. Series A 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Ergodic Theory and Dynamical Systems 1 Revista Matemática Iberoamericana 1 Experimental Mathematics 1 Kyushu Journal of Mathematics 1 Fractals 1 Integral Transforms and Special Functions 1 Electronic Communications in Probability 1 Izvestiya: Mathematics 1 Integers 1 Journal of the Australian Mathematical Society 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Milan Journal of Mathematics 1 Bulletin of the American Mathematical Society 1 Chebyshevskiĭ Sbornik 1 São Paulo Journal of Mathematical Sciences 1 Moscow Journal of Combinatorics and Number Theory 1 Annales Mathématiques du Québec 1 Research in the Mathematical Sciences 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Vestnik KRAUNTS. Fiziko-Matematicheskie Nauki 1 Bollettino dell’Unione Matematica Italiana all top 5 Cited in 20 Fields 90 Number theory (11-XX) 22 Special functions (33-XX) 13 Algebraic geometry (14-XX) 6 Functions of a complex variable (30-XX) 6 Approximations and expansions (41-XX) 4 Partial differential equations (35-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 2 Mathematical logic and foundations (03-XX) 2 Combinatorics (05-XX) 2 Ordinary differential equations (34-XX) 2 Probability theory and stochastic processes (60-XX) 2 Numerical analysis (65-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Mechanics of deformable solids (74-XX) Citations by Year