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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.
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Publications by Year

Citations contained in zbMATH Open

42 Publications have been cited 611 times in 460 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
84
2008
Hypergeometric families of Calabi-Yau manifolds. Zbl 1062.11038
Rodriguez-Villegas, Fernando
75
2003
Modular Mahler measures. I. Zbl 0980.11026
Rodriguez Villegas, F.
53
1999
Arithmetic harmonic analysis on character and quiver varieties. Zbl 1246.14063
Hausel, Tamás; Letellier, Emmanuel; Rodriguez-Villegas, Fernando
41
2011
Calabi-Yau manifolds over finite fields. II. Zbl 1100.14032
Candelas, Philip; de la Ossa, Xenia; Rodriguez-Villegas, Fernando
35
2003
Arithmetic harmonic analysis on character and quiver varieties. II. Zbl 1273.14101
Hausel, Tamás; Letellier, Emmanuel; Rodriguez-Villegas, Fernando
30
2013
On the zeros of certain polynomials. Zbl 0992.12001
Rodriguez-Villegas, Fernando
27
2002
Mahler’s measure and the dilogarithm. I. Zbl 1032.11028
Boyd, David W.; Rodriguez-Villegas, Fernando
26
2002
Positivity for Kac polynomials and DT-invariants of quivers. Zbl 1301.16015
Hausel, Tamás; Letellier, Emmanuel; Rodriguez-Villegas, Fernando
23
2013
Convergence acceleration of alternating series. Zbl 0972.11115
Cohen, Henri; Rodriguez Villegas, Fernando; Zagier, Don
21
2000
On the Jacobians of plane cubics. Zbl 1092.14054
Artin, Michael; Rodriguez-Villegas, Fernando; Tate, John
17
2005
Lattice polygons and the number 12. Zbl 0988.52024
Poonen, Bjorn; Rodriguez-Villegas, Fernando
16
2000
Cohomology of large semiprojective hyperkaehler varieties. Zbl 1348.53058
Hausel, Tamas; Rodriguez Villegas, Fernando
13
2015
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
12
1999
Square roots of central values of Hecke \(L\)-series. Zbl 0791.11060
Rodriguez Villegas, Fernando; Zagier, Don
12
1993
Explicit elliptic units. I. Zbl 0898.11025
Hajir, Farshid; Rodriguez Villegas, Fernando
11
1997
Hypergeometric supercongruences. Zbl 1443.11022
Roberts, David P.; Rodriguez Villegas, Fernando
11
2019
Identities between Mahler measures. Zbl 1029.11054
Rodriguez-Villegas, Fernando
9
2002
Estimates for Mahler’s measure of a linear form. Zbl 1082.11067
Rodriguez-Villegas, Fernando; Toledano, Ricardo; Vaaler, Jeffrey D.
8
2004
Which primes are sums of two cubes? Zbl 0842.11011
Rodriguez Villegas, Fernando; Zagier, Don
7
1995
On the divisibility of \(\#\operatorname{Hom}(\Gamma,G)\) by \(|G|\). Zbl 1260.20066
Gordon, Cameron; Rodriguez-Villegas, Fernando
6
2012
Vertex operators and character varieties. Zbl 1390.05246
Carlsson, Erik; Rodriguez Villegas, Fernando
6
2018
Computation of central value of quadratic twists of modular \(L\)-functions. Zbl 1216.11111
Mao, Zhengyu; Rodriguez-Villegas, Fernando; Tornaría, Gonzalo
5
2007
Square root formulas for central values of Hecke \(L\)-series. II. Zbl 0820.11036
Rodriguez Villegas, Fernando
5
1993
Torus orbits on homogeneous varieties and Kac polynomials of quivers. Zbl 1445.16012
Gunnells, Paul E.; Letellier, Emmanuel; Rodriguez Villegas, Fernando
5
2018
Constructions of plane curves with many points. Zbl 1042.11039
Rodríguez Villegas, F.; Voloch, J. F.; Zagier, D.
5
2001
Concordant sequences and integral-valued entire functions. Zbl 0935.11026
Pila, Jonathan; Rodriguez Villegas, Fernando
4
1999
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
Explicit models of genus 2 curves with split CM. Zbl 1032.11026
Rodriguez-Villegas, Fernando
4
2000
Experimental number theory. Zbl 1130.11002
Rodríguez Villegas, Fernando
3
2007
On certain plane curves with many integral points. Zbl 1029.11025
Rodriguez Villegas, Fernando; Voloch, José Felipe
3
1999
Topology of character varieties and representations of quivers. Zbl 1200.14096
Hausel, Tamás; Letellier, Emmanuel; Rodriguez Villegas, Fernando
3
2010
Counting colorings on varieties. Zbl 1208.11130
Rodríguez-Villegas, Fernando
2
2007
Lattice polytopes, Hecke operators, and the Ehrhart polynomial. Zbl 1239.11057
Gunnells, Paul E.; Rodriguez Villegas, Fernando
2
2007
Counting quiver representations over finite fields via graph enumeration. Zbl 1179.16005
Helleloid, Geir T.; Rodriguez-Villegas, Fernando
2
2009
The congruences of Clausen-von Staudt and Kummer for half-integral weight Eisenstein series. Zbl 0805.11042
Rodriguez Villegas, Fernando
2
1993
The structure of bivariate rational hypergeometric functions. Zbl 1218.33004
Cattani, Eduardo; Dickenstein, Alicia; Villegas, Fernando Rodríguez
2
2011
Hypergeometric motives. Zbl 07579452
Roberts, David P.; Rodriguez Villegas, Fernando
2
2022
On the Taylor coefficients of theta functions of CM elliptic curves. Zbl 0813.11037
Rodriguez Villegas, Fernando
1
1994
Goursat rigid local systems of rank four. Zbl 1420.14020
Radchenko, Danylo; Rodriguez Villegas, Fernando
1
2018
The Tutte polynomial and toric Nakajima quiver varieties. Zbl 1498.05137
Abdelgadir, Tarig; Mellit, Anton; Rodriguez Villegas, Fernando
1
2022
Hypergeometric motives. Zbl 07579452
Roberts, David P.; Rodriguez Villegas, Fernando
2
2022
The Tutte polynomial and toric Nakajima quiver varieties. Zbl 1498.05137
Abdelgadir, Tarig; Mellit, Anton; Rodriguez Villegas, Fernando
1
2022
Hypergeometric supercongruences. Zbl 1443.11022
Roberts, David P.; Rodriguez Villegas, Fernando
11
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
5
2018
Goursat rigid local systems of rank four. Zbl 1420.14020
Radchenko, Danylo; Rodriguez Villegas, Fernando
1
2018
Cohomology of large semiprojective hyperkaehler varieties. Zbl 1348.53058
Hausel, Tamas; Rodriguez Villegas, Fernando
13
2015
Arithmetic harmonic analysis on character and quiver varieties. II. Zbl 1273.14101
Hausel, Tamás; Letellier, Emmanuel; Rodriguez-Villegas, Fernando
30
2013
Positivity for Kac polynomials and DT-invariants of quivers. Zbl 1301.16015
Hausel, Tamás; Letellier, Emmanuel; Rodriguez-Villegas, Fernando
23
2013
On the divisibility of \(\#\operatorname{Hom}(\Gamma,G)\) by \(|G|\). Zbl 1260.20066
Gordon, Cameron; Rodriguez-Villegas, Fernando
6
2012
Arithmetic harmonic analysis on character and quiver varieties. Zbl 1246.14063
Hausel, Tamás; Letellier, Emmanuel; Rodriguez-Villegas, Fernando
41
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
3
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
84
2008
Computation of central value of quadratic twists of modular \(L\)-functions. Zbl 1216.11111
Mao, Zhengyu; Rodriguez-Villegas, Fernando; Tornaría, Gonzalo
5
2007
Experimental number theory. Zbl 1130.11002
Rodríguez Villegas, Fernando
3
2007
Counting colorings on varieties. Zbl 1208.11130
Rodríguez-Villegas, Fernando
2
2007
Lattice polytopes, Hecke operators, and the Ehrhart polynomial. Zbl 1239.11057
Gunnells, Paul E.; Rodriguez Villegas, Fernando
2
2007
On the Jacobians of plane cubics. Zbl 1092.14054
Artin, Michael; Rodriguez-Villegas, Fernando; Tate, John
17
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.
8
2004
Hypergeometric families of Calabi-Yau manifolds. Zbl 1062.11038
Rodriguez-Villegas, Fernando
75
2003
Calabi-Yau manifolds over finite fields. II. Zbl 1100.14032
Candelas, Philip; de la Ossa, Xenia; Rodriguez-Villegas, Fernando
35
2003
On the zeros of certain polynomials. Zbl 0992.12001
Rodriguez-Villegas, Fernando
27
2002
Mahler’s measure and the dilogarithm. I. Zbl 1032.11028
Boyd, David W.; Rodriguez-Villegas, Fernando
26
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.
5
2001
Convergence acceleration of alternating series. Zbl 0972.11115
Cohen, Henri; Rodriguez Villegas, Fernando; Zagier, Don
21
2000
Lattice polygons and the number 12. Zbl 0988.52024
Poonen, Bjorn; Rodriguez-Villegas, Fernando
16
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.
53
1999
Central values of Hecke \(L\)-functions of CM number fields. Zbl 0965.11045
Rodriguez Villegas, Fernando; Yang, Tonghai
12
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
11
1997
Which primes are sums of two cubes? Zbl 0842.11011
Rodriguez Villegas, Fernando; Zagier, Don
7
1995
On the Taylor coefficients of theta functions of CM elliptic curves. Zbl 0813.11037
Rodriguez Villegas, Fernando
1
1994
Square roots of central values of Hecke \(L\)-series. Zbl 0791.11060
Rodriguez Villegas, Fernando; Zagier, Don
12
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 510 Authors

16 Rodriguez-Villegas, Fernando
14 Lalín, Matilde Noemí
12 Guo, Victor J. W.
9 Long, Ling
9 Zudilin, Wadim
8 Hausel, Tamás
8 Higashitani, Akihiro
6 Letellier, Emmanuel
6 Liu, Jicai
6 Pan, Hao
6 Sun, Zhihong
6 Tu, Fang-Ting
6 Voight, John Michael
6 Yang, Tonghai
5 Fisher, Tom A.
5 Mellit, Anton S.
5 Muñoz Velázquez, Vicente
5 Rodríguez Caballero, José Manuel
5 Rogers, Mathew D.
5 Samart, Detchat
5 Schiffmann, Olivier G.
5 Schimmrigk, Rolf
5 Sun, Zhi-Wei
5 Tornaría, Gonzalo
5 Whitcher, Ursula A.
4 Anderson, Lara B.
4 Borwein, Jonathan Michael
4 González-Prieto, Ángel
4 Gray, James A.
4 Klyachko, Anton Aleksandrovich
4 Logares, Marina
4 Mao, Guo-Shuai
4 Mariño, Marcos
4 McCarthy, Dermot
4 Mortenson, Eric T.
4 Mozgovoy, Sergey
4 Ni, He-Xia
4 Reineke, Markus
4 Salerno, Adriana
4 Sirolli, Nicolás
4 Yui, Noriko
3 Bailey, David Harold
3 Bertin, Marie-Jose
3 Borges, Herivelto
3 Bozec, Tristan
3 Davison, Ben
3 de Cataldo, Mark Andrea A.
3 Diaconescu, Duiliu-Emanuel
3 Dimofte, Tudor Dan
3 Donagi, Ron Y.
3 Doran, Charles F.
3 Fuselier, Jenny G.
3 Heinloth, Jochen
3 Kalita, Gautam
3 Kelly, Tyler L.
3 Komyo, Arata
3 Maulik, Davesh
3 Ohsugi, Hidefumi
3 Ono, Ken
3 Pacetti, Ariel
3 Pantev, Tony G.
3 Ramakrishna, Ravi Kumar
3 Rayan, Steven
3 Rolen, Larry
3 Sabatini, Silvia
3 Shen, Junliang
3 Sperber, Steven I.
3 Zagier, Don Bernard
3 Zeng, Jiang
2 Adell, José Antonio
2 Barman, Rupam
2 Bhargava, Manjul
2 Boyd, David William
2 Braun, Benjamin
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 Fei, Jiarui
2 Arango Florentino, Carlos Armindo
2 Franzen, Hans
2 Gao, Xin
2 García-Prada, Oscar
2 Garoufalidis, Stavros
2 Godinho, Leonor
2 González-Santander, Juan Luis
2 Goutet, Philippe
2 Gunnells, Paul E.
2 Guo, Xuejun
2 Harada, Shinya
2 Harris, Pamela E.
2 He, Yang-Hui Evariste
2 Hibi, Takayuki
2 Hoskins, Victoria
2 Huang, Yifeng
2 Insko, Erik
2 Jorgenson, Jay Alan
...and 410 more Authors
all top 5

Cited in 136 Serials

40 Journal of Number Theory
19 The Ramanujan Journal
16 Proceedings of the American Mathematical Society
10 Duke Mathematical Journal
10 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
9 Journal of Algebra
9 Transactions of the American Mathematical Society
9 Selecta Mathematica. New Series
9 Journal of High Energy Physics
8 Journal of Mathematical Analysis and Applications
8 Mathematics of Computation
8 Advances in Mathematics
8 Inventiones Mathematicae
8 Mathematische Annalen
8 International Journal of Number Theory
7 Communications in Mathematical Physics
7 Finite Fields and their Applications
7 Research in the Mathematical Sciences
6 Journal of Geometry and Physics
6 Mathematische Zeitschrift
6 Annals of Mathematics. Second Series
5 Israel Journal of Mathematics
5 Acta Arithmetica
5 Journal of Combinatorial Theory. Series A
5 Journal of Pure and Applied Algebra
5 Journal de Théorie des Nombres de Bordeaux
5 The Electronic Journal of Combinatorics
4 Bulletin of the Australian Mathematical Society
4 Letters in Mathematical Physics
4 Annales de l’Institut Fourier
4 Geometriae Dedicata
4 Journal für die Reine und Angewandte Mathematik
4 Manuscripta Mathematica
4 Discrete & Computational Geometry
4 Experimental Mathematics
4 Integers
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 Research in Number Theory
3 Discrete Mathematics
3 Rocky Mountain Journal of Mathematics
3 Archiv der Mathematik
3 Compositio Mathematica
3 Journal of Approximation Theory
3 Pacific Journal of Mathematics
3 International Journal of Mathematics
3 Journal of Algebraic Combinatorics
3 Geometry & Topology
3 Journal of the European Mathematical Society (JEMS)
3 Algebraic & Geometric Topology
3 Electronic Research Archive
2 Journal of Mathematical Physics
2 Nuclear Physics. B
2 Functiones et Approximatio. Commentarii Mathematici
2 Nagoya Mathematical Journal
2 Results in Mathematics
2 European Journal of Combinatorics
2 Advances in Applied Mathematics
2 Indagationes Mathematicae. New Series
2 Journal of Knot Theory and its Ramifications
2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
2 Integral Transforms and Special Functions
2 Documenta Mathematica
2 Séminaire Lotharingien de Combinatoire
2 Annals of Combinatorics
2 LMS Journal of Computation and Mathematics
2 Communications in Contemporary Mathematics
2 Annales Henri Poincaré
2 Algebra & Number Theory
2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
2 Annales Mathématiques du Québec
2 Open Mathematics
1 American Mathematical Monthly
1 Discrete Applied Mathematics
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 The Mathematical Intelligencer
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 Canadian Mathematical Bulletin
1 Illinois Journal of Mathematics
1 Journal of Computational and Applied Mathematics
1 Journal of the London Mathematical Society. Second Series
1 Mathematika
1 Memoirs of the American Mathematical Society
1 Monatshefte für Mathematik
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Theoretical Computer Science
1 Tôhoku Mathematical Journal. Second Series
1 Acta Mathematica Hungarica
1 Graphs and Combinatorics
1 Journal of Symbolic Computation
1 Revista Matemática Iberoamericana
1 Journal of the American Mathematical Society
1 Forum Mathematicum
...and 36 more Serials
all top 5

Cited in 47 Fields

249 Number theory (11-XX)
169 Algebraic geometry (14-XX)
100 Special functions (33-XX)
67 Combinatorics (05-XX)
41 Associative rings and algebras (16-XX)
32 Quantum theory (81-XX)
23 Group theory and generalizations (20-XX)
22 Convex and discrete geometry (52-XX)
22 Manifolds and cell complexes (57-XX)
19 Several complex variables and analytic spaces (32-XX)
15 Nonassociative rings and algebras (17-XX)
13 \(K\)-theory (19-XX)
12 Commutative algebra (13-XX)
12 Functions of a complex variable (30-XX)
12 Differential geometry (53-XX)
9 Numerical analysis (65-XX)
8 Field theory and polynomials (12-XX)
7 Probability theory and stochastic processes (60-XX)
6 Real functions (26-XX)
5 Topological groups, Lie groups (22-XX)
5 Ordinary differential equations (34-XX)
5 Algebraic topology (55-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 Statistics (62-XX)
2 Partial differential equations (35-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 particles and systems (70-XX)
2 Mechanics of deformable solids (74-XX)
2 Statistical mechanics, structure of matter (82-XX)
1 General and overarching topics; collections (00-XX)
1 Category theory; homological algebra (18-XX)
1 Measure and integration (28-XX)
1 Potential theory (31-XX)
1 Difference and functional equations (39-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Abstract harmonic analysis (43-XX)
1 Functional analysis (46-XX)
1 Operator theory (47-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year