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Rodriguez-Villegas, Fernando

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Author ID: rodriguez-villegas.fernando Recent zbMATH articles by "Rodriguez-Villegas, Fernando"
Published as: Rodriguez Villegas, Fernando; Rodriguez-Villegas, Fernando; Rodriguez Villegas, F.; Rodríguez Villegas, Fernando; Rodríguez-Villegas, Fernando; Villegas, Fernando Rodríguez; Rodríguez Villegas, F.
External Links: MGP
Documents Indexed: 49 Publications since 1991, including 1 Book

Publications by Year

Citations contained in zbMATH Open

38 Publications have been cited 495 times in 381 Documents Cited by Year
Mixed Hodge polynomials of character varieties. With an appendix by Nicholas M. Katz. Zbl 1213.14020
Hausel, Tamás; Rodriguez-Villegas, Fernando
65
2008
Hypergeometric families of Calabi-Yau manifolds. Zbl 1062.11038
Rodriguez-Villegas, Fernando
58
2003
Modular Mahler measures. I. Zbl 0980.11026
Rodriguez Villegas, F.
46
1999
Arithmetic harmonic analysis on character and quiver varieties. Zbl 1246.14063
Hausel, Tamás; Letellier, Emmanuel; Rodriguez-Villegas, Fernando
33
2011
Arithmetic harmonic analysis on character and quiver varieties. II. Zbl 1273.14101
Hausel, Tamás; Letellier, Emmanuel; Rodriguez-Villegas, Fernando
27
2013
Calabi-Yau manifolds over finite fields. II. Zbl 1100.14032
Candelas, Philip; de la Ossa, Xenia; Rodriguez-Villegas, Fernando
24
2003
On the zeros of certain polynomials. Zbl 0992.12001
Rodriguez-Villegas, Fernando
20
2002
Mahler’s measure and the dilogarithm. I. Zbl 1032.11028
Boyd, David W.; Rodriguez-Villegas, Fernando
20
2002
Positivity for Kac polynomials and DT-invariants of quivers. Zbl 1301.16015
Hausel, Tamás; Letellier, Emmanuel; Rodriguez-Villegas, Fernando
19
2013
Convergence acceleration of alternating series. Zbl 0972.11115
Cohen, Henri; Rodriguez Villegas, Fernando; Zagier, Don
18
2000
On the Jacobians of plane cubics. Zbl 1092.14054
Artin, Michael; Rodriguez-Villegas, Fernando; Tate, John
16
2005
Lattice polygons and the number 12. Zbl 0988.52024
Poonen, Bjorn; Rodriguez-Villegas, Fernando
14
2000
On the square root of special values of certain \(L\)-series. Zbl 0773.11034
Rodriguez Villegas, Fernando
12
1991
Central values of Hecke \(L\)-functions of CM number fields. Zbl 0965.11045
Rodriguez Villegas, Fernando; Yang, Tonghai
11
1999
Square roots of central values of Hecke \(L\)-series. Zbl 0791.11060
Rodriguez Villegas, Fernando; Zagier, Don
11
1993
Explicit elliptic units. I. Zbl 0898.11025
Hajir, Farshid; Rodriguez Villegas, Fernando
10
1997
Identities between Mahler measures. Zbl 1029.11054
Rodriguez-Villegas, Fernando
9
2002
Cohomology of large semiprojective hyperkaehler varieties. Zbl 1348.53058
Hausel, Tamas; Rodriguez Villegas, Fernando
8
2015
Estimates for Mahler’s measure of a linear form. Zbl 1082.11067
Rodriguez-Villegas, Fernando; Toledano, Ricardo; Vaaler, Jeffrey D.
7
2004
Vertex operators and character varieties. Zbl 1390.05246
Carlsson, Erik; Rodriguez Villegas, Fernando
6
2018
On the divisibility of \(\#\operatorname{Hom}(\Gamma,G)\) by \(|G|\). Zbl 1260.20066
Gordon, Cameron; Rodriguez-Villegas, Fernando
5
2012
Computation of central value of quadratic twists of modular \(L\)-functions. Zbl 1216.11111
Mao, Zhengyu; Rodriguez-Villegas, Fernando; Tornaría, Gonzalo
5
2007
Which primes are sums of two cubes? Zbl 0842.11011
Rodriguez Villegas, Fernando; Zagier, Don
5
1995
Square root formulas for central values of Hecke \(L\)-series. II. Zbl 0820.11036
Rodriguez Villegas, Fernando
5
1993
Hypergeometric supercongruences. Zbl 1443.11022
Roberts, David P.; Rodriguez Villegas, Fernando
5
2019
Torus orbits on homogeneous varieties and Kac polynomials of quivers. Zbl 1445.16012
Gunnells, Paul E.; Letellier, Emmanuel; Rodriguez Villegas, Fernando
4
2018
Computing weight \(2\) modular forms of level \(p^2\) (with an appendix by B. Gross). Zbl 1093.11027
Pacetti, Ariel; Rodriguez Villegas, Fernando
4
2005
Concordant sequences and integral-valued entire functions. Zbl 0935.11026
Pila, Jonathan; Rodriguez Villegas, Fernando
4
1999
Constructions of plane curves with many points. Zbl 1042.11039
Rodríguez Villegas, F.; Voloch, J. F.; Zagier, D.
4
2001
Explicit models of genus 2 curves with split CM. Zbl 1032.11026
Rodriguez-Villegas, Fernando
4
2000
On certain plane curves with many integral points. Zbl 1029.11025
Rodriguez Villegas, Fernando; Voloch, José Felipe
3
1999
Counting quiver representations over finite fields via graph enumeration. Zbl 1179.16005
Helleloid, Geir T.; Rodriguez-Villegas, Fernando
2
2009
Counting colorings on varieties. Zbl 1208.11130
Rodríguez-Villegas, Fernando
2
2007
The structure of bivariate rational hypergeometric functions. Zbl 1218.33004
Cattani, Eduardo; Dickenstein, Alicia; Villegas, Fernando Rodríguez
2
2011
Experimental number theory. Zbl 1130.11002
Rodríguez Villegas, Fernando
2
2007
The congruences of Clausen-von Staudt and Kummer for half-integral weight Eisenstein series. Zbl 0805.11042
Rodriguez Villegas, Fernando
2
1993
Topology of character varieties and representations of quivers. Zbl 1200.14096
Hausel, Tamás; Letellier, Emmanuel; Rodriguez Villegas, Fernando
2
2010
Lattice polytopes, Hecke operators, and the Ehrhart polynomial. Zbl 1239.11057
Gunnells, Paul E.; Rodriguez Villegas, Fernando
1
2007
Hypergeometric supercongruences. Zbl 1443.11022
Roberts, David P.; Rodriguez Villegas, Fernando
5
2019
Vertex operators and character varieties. Zbl 1390.05246
Carlsson, Erik; Rodriguez Villegas, Fernando
6
2018
Torus orbits on homogeneous varieties and Kac polynomials of quivers. Zbl 1445.16012
Gunnells, Paul E.; Letellier, Emmanuel; Rodriguez Villegas, Fernando
4
2018
Cohomology of large semiprojective hyperkaehler varieties. Zbl 1348.53058
Hausel, Tamas; Rodriguez Villegas, Fernando
8
2015
Arithmetic harmonic analysis on character and quiver varieties. II. Zbl 1273.14101
Hausel, Tamás; Letellier, Emmanuel; Rodriguez-Villegas, Fernando
27
2013
Positivity for Kac polynomials and DT-invariants of quivers. Zbl 1301.16015
Hausel, Tamás; Letellier, Emmanuel; Rodriguez-Villegas, Fernando
19
2013
On the divisibility of \(\#\operatorname{Hom}(\Gamma,G)\) by \(|G|\). Zbl 1260.20066
Gordon, Cameron; Rodriguez-Villegas, Fernando
5
2012
Arithmetic harmonic analysis on character and quiver varieties. Zbl 1246.14063
Hausel, Tamás; Letellier, Emmanuel; Rodriguez-Villegas, Fernando
33
2011
The structure of bivariate rational hypergeometric functions. Zbl 1218.33004
Cattani, Eduardo; Dickenstein, Alicia; Villegas, Fernando Rodríguez
2
2011
Topology of character varieties and representations of quivers. Zbl 1200.14096
Hausel, Tamás; Letellier, Emmanuel; Rodriguez Villegas, Fernando
2
2010
Counting quiver representations over finite fields via graph enumeration. Zbl 1179.16005
Helleloid, Geir T.; Rodriguez-Villegas, Fernando
2
2009
Mixed Hodge polynomials of character varieties. With an appendix by Nicholas M. Katz. Zbl 1213.14020
Hausel, Tamás; Rodriguez-Villegas, Fernando
65
2008
Computation of central value of quadratic twists of modular \(L\)-functions. Zbl 1216.11111
Mao, Zhengyu; Rodriguez-Villegas, Fernando; Tornaría, Gonzalo
5
2007
Counting colorings on varieties. Zbl 1208.11130
Rodríguez-Villegas, Fernando
2
2007
Experimental number theory. Zbl 1130.11002
Rodríguez Villegas, Fernando
2
2007
Lattice polytopes, Hecke operators, and the Ehrhart polynomial. Zbl 1239.11057
Gunnells, Paul E.; Rodriguez Villegas, Fernando
1
2007
On the Jacobians of plane cubics. Zbl 1092.14054
Artin, Michael; Rodriguez-Villegas, Fernando; Tate, John
16
2005
Computing weight \(2\) modular forms of level \(p^2\) (with an appendix by B. Gross). Zbl 1093.11027
Pacetti, Ariel; Rodriguez Villegas, Fernando
4
2005
Estimates for Mahler’s measure of a linear form. Zbl 1082.11067
Rodriguez-Villegas, Fernando; Toledano, Ricardo; Vaaler, Jeffrey D.
7
2004
Hypergeometric families of Calabi-Yau manifolds. Zbl 1062.11038
Rodriguez-Villegas, Fernando
58
2003
Calabi-Yau manifolds over finite fields. II. Zbl 1100.14032
Candelas, Philip; de la Ossa, Xenia; Rodriguez-Villegas, Fernando
24
2003
On the zeros of certain polynomials. Zbl 0992.12001
Rodriguez-Villegas, Fernando
20
2002
Mahler’s measure and the dilogarithm. I. Zbl 1032.11028
Boyd, David W.; Rodriguez-Villegas, Fernando
20
2002
Identities between Mahler measures. Zbl 1029.11054
Rodriguez-Villegas, Fernando
9
2002
Constructions of plane curves with many points. Zbl 1042.11039
Rodríguez Villegas, F.; Voloch, J. F.; Zagier, D.
4
2001
Convergence acceleration of alternating series. Zbl 0972.11115
Cohen, Henri; Rodriguez Villegas, Fernando; Zagier, Don
18
2000
Lattice polygons and the number 12. Zbl 0988.52024
Poonen, Bjorn; Rodriguez-Villegas, Fernando
14
2000
Explicit models of genus 2 curves with split CM. Zbl 1032.11026
Rodriguez-Villegas, Fernando
4
2000
Modular Mahler measures. I. Zbl 0980.11026
Rodriguez Villegas, F.
46
1999
Central values of Hecke \(L\)-functions of CM number fields. Zbl 0965.11045
Rodriguez Villegas, Fernando; Yang, Tonghai
11
1999
Concordant sequences and integral-valued entire functions. Zbl 0935.11026
Pila, Jonathan; Rodriguez Villegas, Fernando
4
1999
On certain plane curves with many integral points. Zbl 1029.11025
Rodriguez Villegas, Fernando; Voloch, José Felipe
3
1999
Explicit elliptic units. I. Zbl 0898.11025
Hajir, Farshid; Rodriguez Villegas, Fernando
10
1997
Which primes are sums of two cubes? Zbl 0842.11011
Rodriguez Villegas, Fernando; Zagier, Don
5
1995
Square roots of central values of Hecke \(L\)-series. Zbl 0791.11060
Rodriguez Villegas, Fernando; Zagier, Don
11
1993
Square root formulas for central values of Hecke \(L\)-series. II. Zbl 0820.11036
Rodriguez Villegas, Fernando
5
1993
The congruences of Clausen-von Staudt and Kummer for half-integral weight Eisenstein series. Zbl 0805.11042
Rodriguez Villegas, Fernando
2
1993
On the square root of special values of certain \(L\)-series. Zbl 0773.11034
Rodriguez Villegas, Fernando
12
1991
all top 5

Cited by 428 Authors

14 Lalín, Matilde N.
13 Rodriguez-Villegas, Fernando
8 Guo, Victor J. W.
7 Hausel, Tamás
7 Zudilin, Wadim
6 Letellier, Emmanuel
6 Liu, Jicai
6 Long, Ling
6 Sun, Zhihong
6 Yang, Tonghai
5 Fisher, Tom A.
5 Higashitani, Akihiro
5 Pan, Hao
5 Rodríguez Caballero, José Manuel
5 Rogers, Mathew D.
5 Samart, Detchat
5 Schiffmann, Olivier G.
5 Schimmrigk, Rolf
5 Sun, Zhi-Wei
5 Voight, John Michael
4 Anderson, Lara B.
4 Borwein, Jonathan Michael
4 Gray, James A.
4 Klyachko, Anton Aleksandrovich
4 Mellit, Anton S.
4 Mortenson, Eric T.
4 Mozgovoy, Sergey
4 Salerno, Adriana
4 Tornaría, Gonzalo
4 Whitcher, Ursula A.
3 Bailey, David Harold
3 Bertin, Marie-Jose
3 Borges, Herivelto
3 Bozec, Tristan
3 Diaconescu, Duiliu-Emanuel
3 Dimofte, Tudor Dan
3 Donagi, Ron Y.
3 Doran, Charles F.
3 Heinloth, Jochen
3 Kelly, Tyler L.
3 Komyo, Arata
3 Logares, Marina
3 Mao, Guo-Shuai
3 Mariño, Marcos
3 McCarthy, Dermot
3 Muñoz Velázquez, Vicente
3 Pacetti, Ariel
3 Pantev, Tony G.
3 Rayan, Steven
3 Reineke, Markus
3 Sabatini, Silvia
3 Sirolli, Nicolás
3 Sperber, Steven I.
3 Tu, Fang-Ting
3 Yui, Noriko
3 Zeng, Jiang
2 Adell, José Antonio
2 Barman, Rupam
2 Bhargava, Manjul
2 Boyd, David William
2 Brunault, François
2 Castryck, Wouter
2 Chuang, Wu-yen
2 Codesido, Santiago
2 D’Andrea, Carlos
2 Diaz-Lopez, Alexander
2 Dickenstein, Alicia M.
2 Franzen, Hans
2 Fuselier, Jenny G.
2 Gao, Xin
2 García-Prada, Oscar
2 Garoufalidis, Stavros
2 Godinho, Leonor
2 González-Prieto, Ángel
2 González-Santander, Juan L.
2 Goutet, Philippe
2 Gunnells, Paul E.
2 Guo, Xuejun
2 Harada, Shinya
2 Harris, Pamela E.
2 Hibi, Takayuki
2 Hoskins, Victoria
2 Insko, Erik
2 Kalita, Gautam
2 Kinser, Ryan
2 Kuo, Jung-Miao
2 Lee, Seungjoo
2 Lewis, Joel Brewster
2 Lynker, Monika
2 Malmendier, Andreas
2 Mao, Zhengyu
2 Markwig, Hannah
2 Markwig, Thomas
2 Masri, Riad
2 Matsui, Tetsushi
2 Mereb, Martin
2 Migliorini, Luca
2 Mkrtchyan, Anna A.
2 Ni, He-Xia
2 Oehlmann, Paul-Konstantin
...and 328 more Authors
all top 5

Cited in 115 Serials

38 Journal of Number Theory
14 Proceedings of the American Mathematical Society
13 The Ramanujan Journal
9 Duke Mathematical Journal
9 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
8 Journal of Algebra
8 Mathematische Annalen
8 Transactions of the American Mathematical Society
8 Selecta Mathematica. New Series
7 Mathematics of Computation
7 Inventiones Mathematicae
7 Finite Fields and their Applications
7 Journal of High Energy Physics
7 International Journal of Number Theory
7 Research in the Mathematical Sciences
6 Communications in Mathematical Physics
6 Journal of Mathematical Analysis and Applications
6 Journal of Geometry and Physics
6 Advances in Mathematics
5 Israel Journal of Mathematics
5 Acta Arithmetica
5 Mathematische Zeitschrift
5 Journal de Théorie des Nombres de Bordeaux
5 Annals of Mathematics. Second Series
4 Letters in Mathematical Physics
4 Annales de l’Institut Fourier
4 Geometriae Dedicata
4 Journal of Combinatorial Theory. Series A
4 Journal of Pure and Applied Algebra
4 Discrete & Computational Geometry
4 Integers
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 Research in Number Theory
3 Bulletin of the Australian Mathematical Society
3 Discrete Mathematics
3 Archiv der Mathematik
3 Compositio Mathematica
3 Journal of Approximation Theory
3 International Journal of Mathematics
3 Journal of Algebraic Combinatorics
3 Journal of the European Mathematical Society (JEMS)
3 Electronic Research Archive
2 Journal of Mathematical Physics
2 Nuclear Physics. B
2 Rocky Mountain Journal of Mathematics
2 Functiones et Approximatio. Commentarii Mathematici
2 Journal für die Reine und Angewandte Mathematik
2 Manuscripta Mathematica
2 Nagoya Mathematical Journal
2 Pacific Journal of Mathematics
2 Results in Mathematics
2 Advances in Applied Mathematics
2 Journal of Knot Theory and its Ramifications
2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
2 Experimental Mathematics
2 The Electronic Journal of Combinatorics
2 Integral Transforms and Special Functions
2 Documenta Mathematica
2 Séminaire Lotharingien de Combinatoire
2 Geometry & Topology
2 Annals of Combinatorics
2 LMS Journal of Computation and Mathematics
2 Communications in Contemporary Mathematics
2 Annales Henri Poincaré
2 Algebraic & Geometric Topology
2 Annales Mathématiques du Québec
1 American Mathematical Monthly
1 Information Processing Letters
1 Journal of Engineering Mathematics
1 The Mathematical Gazette
1 Mathematical Notes
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Theoretical and Mathematical Physics
1 Beiträge zur Algebra und Geometrie
1 Fortschritte der Physik
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Illinois Journal of Mathematics
1 Journal of Computational and Applied Mathematics
1 Journal of the London Mathematical Society. Second Series
1 Mathematika
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Theoretical Computer Science
1 European Journal of Combinatorics
1 Acta Mathematica Hungarica
1 Graphs and Combinatorics
1 Journal of Symbolic Computation
1 Revista Matemática Iberoamericana
1 International Journal of Algebra and Computation
1 IMRN. International Mathematics Research Notices
1 Numerical Algorithms
1 Geometric and Functional Analysis. GAFA
1 Linear Algebra and its Applications
1 Bulletin of the American Mathematical Society. New Series
1 Indagationes Mathematicae. New Series
1 Bulletin des Sciences Mathématiques
1 Journal of Difference Equations and Applications
1 Transformation Groups
1 Algebras and Representation Theory
1 Revista Matemática Complutense
...and 15 more Serials
all top 5

Cited in 45 Fields

209 Number theory (11-XX)
140 Algebraic geometry (14-XX)
80 Special functions (33-XX)
51 Combinatorics (05-XX)
34 Associative rings and algebras (16-XX)
27 Quantum theory (81-XX)
21 Group theory and generalizations (20-XX)
19 Manifolds and cell complexes (57-XX)
15 Convex and discrete geometry (52-XX)
13 Nonassociative rings and algebras (17-XX)
13 Several complex variables and analytic spaces (32-XX)
12 \(K\)-theory (19-XX)
11 Functions of a complex variable (30-XX)
8 Differential geometry (53-XX)
7 Field theory and polynomials (12-XX)
7 Numerical analysis (65-XX)
6 Commutative algebra (13-XX)
5 Topological groups, Lie groups (22-XX)
5 Probability theory and stochastic processes (60-XX)
4 Real functions (26-XX)
4 Ordinary differential equations (34-XX)
4 Dynamical systems and ergodic theory (37-XX)
4 Relativity and gravitational theory (83-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Approximations and expansions (41-XX)
3 Geometry (51-XX)
3 Algebraic topology (55-XX)
2 Sequences, series, summability (40-XX)
2 Integral transforms, operational calculus (44-XX)
2 Global analysis, analysis on manifolds (58-XX)
2 Computer science (68-XX)
2 Mechanics of deformable solids (74-XX)
1 Category theory; homological algebra (18-XX)
1 Measure and integration (28-XX)
1 Potential theory (31-XX)
1 Partial differential equations (35-XX)
1 Difference and functional equations (39-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Functional analysis (46-XX)
1 Operator theory (47-XX)
1 Statistics (62-XX)
1 Mechanics of particles and systems (70-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Statistical mechanics, structure of matter (82-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year