×
Compute Distance To:
Author ID: viola.carlo Recent zbMATH articles by "Viola, Carlo"
Published as: Viola, Carlo; Viola, C.

Publications by Year

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 0864.11037
Rhin, Georges; Viola, Carlo
32
1996
The group structure for \(\zeta(3)\). Zbl 1004.11042
Rhin, 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 0409.10029
Goldfeld, D.; Viola, C.
15
1979
Some remarks on Beukers’ integrals. Zbl 0755.11019
Dvornicich, R.; Viola, C.
9
1990
Approximation measures for logarithms of algebraic numbers. Zbl 1008.11028
Amoroso, Francesco; Viola, Carlo
8
2001
On Dyson’s lemma. Zbl 0596.10032
Viola, Carlo
6
1985
On Siegel’s method in diophantine approximation to transcendental numbers. Zbl 0873.11043
Viola, C.
5
1995
Hypergeometric functions and irrationality measures. Zbl 0904.11020
Viola, 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 0776.11036
Rhin, G.; Viola, C.
4
1993
Diophantine approximation in short intervals. Zbl 0424.10022
Viola, C.
4
1979
The permutation group method for the dilogarithm. Zbl 1170.11316
Viola, 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 0266.10016
Viola, C.
3
1973
Generalized Vandermonde determinants. Zbl 0962.11021
Schlickewei, Hans Peter; Viola, Carlo
3
2000
Irrationality and nonquadraticity measures for logarithms of algebraic numbers. Zbl 1271.11076
Marcovecchio, Raffaele; Viola, Carlo
3
2012
Linear independence of dilogarithmic values. Zbl 1454.11131
Viola, Carlo; Zudilin, Wadim
2
2018
An introduction to special functions. Zbl 1364.33001
Viola, Carlo
2
2016
Multiple integrals and linear forms in zeta-values. Zbl 1193.11073
Rhin, Georges; Viola, Carlo
2
2007
Linear independence of 1, \(\operatorname{Li}_1\) and \(\operatorname{Li}_2\). Zbl 1450.11074
Rhin, Georges; Viola, Carlo
2
2019
Birational transformations and values of the Riemann zeta-function. Zbl 1074.11041
Viola, Carlo
2
2003
Hypergeometric transformations of linear forms in one logarithm. Zbl 1205.33008
Viola, Carlo; Zudilin, Wadim
1
2008
On large sieve type estimates for the Dirichlet series operator. Zbl 0268.10027
Forti, M.; Viola, C.
1
1973
Density estimates for the zeros of L-functions. Zbl 0268.10028
Forti, M.; Viola, C.
1
1973
Polynomials that divide many trinomials. Zbl 0868.11048
Schlickewei, Hans Peter; Viola, Carlo
1
1997
Some conjectures on elliptic curves over cyclotomic fields. Zbl 0509.14021
Goldfeld, D.; Viola, C.
1
1983
Polynomials that divide many \(k\)-nomials. Zbl 0928.11016
Schlickewei, Hans Peter; Viola, Carlo
1
1999
The arithmetic of Euler’s integrals. Zbl 1166.11340
Viola, Carlo
1
2004
On simultaneous approximations to zeta-values. Zbl 1368.11064
Viola, 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 1472.41018
Pinna, Francesco; Viola, Carlo
1
2019
Linear independence of 1, \(\operatorname{Li}_1\) and \(\operatorname{Li}_2\). Zbl 1450.11074
Rhin, 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 1472.41018
Pinna, Francesco; Viola, Carlo
1
2019
Linear independence of dilogarithmic values. Zbl 1454.11131
Viola, Carlo; Zudilin, Wadim
2
2018
An introduction to special functions. Zbl 1364.33001
Viola, Carlo
2
2016
On simultaneous approximations to zeta-values. Zbl 1368.11064
Viola, Carlo
1
2013
Irrationality and nonquadraticity measures for logarithms of algebraic numbers. Zbl 1271.11076
Marcovecchio, Raffaele; Viola, Carlo
3
2012
Hypergeometric transformations of linear forms in one logarithm. Zbl 1205.33008
Viola, Carlo; Zudilin, Wadim
1
2008
Multiple integrals and linear forms in zeta-values. Zbl 1193.11073
Rhin, Georges; Viola, Carlo
2
2007
The permutation group method for the dilogarithm. Zbl 1170.11316
Viola, Carlo; Rhin, Georges
4
2005
The arithmetic of Euler’s integrals. Zbl 1166.11340
Viola, Carlo
1
2004
Birational transformations and values of the Riemann zeta-function. Zbl 1074.11041
Viola, Carlo
2
2003
The group structure for \(\zeta(3)\). Zbl 1004.11042
Rhin, Georges; Viola, Carlo
24
2001
Approximation measures for logarithms of algebraic numbers. Zbl 1008.11028
Amoroso, Francesco; Viola, Carlo
8
2001
Generalized Vandermonde determinants. Zbl 0962.11021
Schlickewei, 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 0928.11016
Schlickewei, Hans Peter; Viola, Carlo
1
1999
Hypergeometric functions and irrationality measures. Zbl 0904.11020
Viola, Carlo
5
1997
Polynomials that divide many trinomials. Zbl 0868.11048
Schlickewei, Hans Peter; Viola, Carlo
1
1997
On a permutation group related to \(\zeta (2)\). Zbl 0864.11037
Rhin, Georges; Viola, Carlo
32
1996
On Siegel’s method in diophantine approximation to transcendental numbers. Zbl 0873.11043
Viola, C.
5
1995
On the irrationality measure of \(\zeta (2)\). Zbl 0776.11036
Rhin, G.; Viola, C.
4
1993
Some remarks on Beukers’ integrals. Zbl 0755.11019
Dvornicich, R.; Viola, C.
9
1990
On Dyson’s lemma. Zbl 0596.10032
Viola, Carlo
6
1985
Some conjectures on elliptic curves over cyclotomic fields. Zbl 0509.14021
Goldfeld, 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 0409.10029
Goldfeld, D.; Viola, C.
15
1979
Diophantine approximation in short intervals. Zbl 0424.10022
Viola, 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 0266.10016
Viola, C.
3
1973
On large sieve type estimates for the Dirichlet series operator. Zbl 0268.10027
Forti, M.; Viola, C.
1
1973
Density estimates for the zeros of L-functions. Zbl 0268.10028
Forti, M.; Viola, C.
1
1973
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

Citations by Year