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Farkas, Hershel M.

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Author ID: farkas.hershel-m Recent zbMATH articles by "Farkas, Hershel M."
Published as: Farkas, H. M.; Farkas, Henshel M.; Farkas, Hershel; Farkas, Hershel M.
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Documents Indexed: 77 Publications since 1967, including 8 Books

Publications by Year

Citations contained in zbMATH Open

54 Publications have been cited 890 times in 729 Documents Cited by Year
Riemann surfaces. Zbl 0475.30001
Farkas, H. M.; Kra, I.
317
1980
Riemann surfaces. 2nd ed. Zbl 0764.30001
Farkas, Hershel M.; Kra, Irwin
265
1992
Theta functions with applications to Riemann surfaces. Zbl 0292.30015
Rauch, Harry E.; Farkas, Hershel M.
50
1974
Theta constants, Riemann surfaces and the modular group. An introduction with applications to uniformization theorems, partition identities and combinatorial number theory. Zbl 0982.30001
Farkas, Hershel M.; Kra, Irwin
33
2001
Special divisors and analytic subloci of teichmueller space. Zbl 0154.33101
Farkas, H. M.
24
1967
Unramified double coverings of hyperelliptic surfaces. Zbl 0348.32006
Farkas, H. M.
19
1976
Period relations of Schottky type on Riemann surfaces. Zbl 0204.09602
Farkas, H. M.; Rauch, H. E.
12
1970
Automorphisms of compact Riemann surfaces and the vanishing of theta constants. Zbl 0153.09901
Farkas, H. M.
12
1967
Cosines and triangular numbers. Zbl 1053.11031
Farkas, H. M.; Kra, I.
10
2001
Partitions and theta constant identities. Zbl 1050.11086
Farkas, Hershel M.; Kra, Irwin
10
2000
On the quintuple product identity. Zbl 0932.11029
Farkas, Hershel M.; Kra, Irwin
10
1999
Unramified double coverings of hyperelliptic surfaces. II. Zbl 0634.30040
Farkas, H. M.
8
1987
Remarks on automorphisms of compact Riemann surfaces. Zbl 0293.30019
Farkas, Hershel M.
8
1974
Generalizations of Thomae’s formula for \(Z_n\) curves. Zbl 1222.14001
Farkas, Hershel M.; Zemel, Shaul
7
2011
Two kinds of theta constants and period relations on a Riemann surface. Zbl 0176.38302
Farkas, H. M.; Rauch, H. E.
7
1969
Theta functions in complex analysis and number theory. Zbl 1206.11055
Farkas, Hershel M.
6
2008
An elementary proof of Thomae’s formulae. Zbl 1188.14018
Eisenmann, Amichai; Farkas, Hershel M.
6
2008
On an arithmetical function. Zbl 1071.11005
Farkas, Hershel M.
5
2004
On the Schottky relation and its generalization to arbitrary genus. Zbl 0202.07902
Farkas, H. M.
5
1970
Weierstrass points and analytic submanifolds of Teichmueller space. Zbl 0175.08201
Farkas, H. M.
5
1969
Thomae’s formula for \(Z_n\) curves. Zbl 1215.14030
Ebin, David G.; Farkas, Hershel M.
4
2010
New theta constant identities. Zbl 0786.11022
Farkas, Hershel M.; Kopeliovich, Yaacov
4
1993
Automorphic forms for subgroups of the modular group. Zbl 0799.11011
Farkas, Hershel M.; Kra, Irwin
4
1993
Unramified coverings of hyperelliptic Riemann surfaces. Zbl 0625.30044
Farkas, H. M.
4
1987
Theta constants of two kinds on a compact Riemann surface of genus 2. Zbl 0207.38101
Rauch, H. E.; Farkas, H. M.
4
1970
Relations between two kinds of theta constants on a Riemann surface. Zbl 0176.38301
Rauch, H. E.; Farkas, H. M.
4
1968
Vanishing thetanulls and Jacobians. Zbl 1099.14020
Farkas, Henshel M.
3
2006
On an arithmetical function. II. Zbl 1176.11013
Farkas, Hershel M.
3
2005
Uniformizations of modular curves. Zbl 0860.11022
Farkas, Hershel M.; Kopeliovich, Yaacov; Kra, Irwin
3
1996
New theta constant identities. II. Zbl 0826.11018
Farkas, Hershel M.; Kopeliovich, Yaacov
3
1995
Theta constants, Moduli, and compact Riemann surfaces. Zbl 0175.08103
Farkas, H. M.
3
1969
Sums of squares and triangular numbers. Zbl 1206.11041
Farkas, Hershel M.
2
2006
Variants of the \(3N+1\) conjecture and multiplicative semigroups. Zbl 1120.11014
Farkas, Hershel M.
2
2005
Corrigendum to “Uniformization of modular curves”. Zbl 0957.11023
Farkas, Hershel M.; Kopeliovich, Yaacov; Kra, Irwin
2
1996
Identities on compact Riemann surfaces. Zbl 1078.14522
Farkas, H. M.
2
1991
On Fay’s tri-secant formula. Zbl 0574.14026
Farkas, Hershel M.
2
1985
Differential geometry and complex analysis. A volume dedicated to the memory of Harry Ernest Rauch. Zbl 0561.00010
Chavel, I. (ed.); Farkas, H. M. (ed.)
2
1985
Period relations for hyperelliptic Riemann surfaces. Zbl 0231.32008
Farkas, Hershel M.
2
1971
Abelian differentials with double zeros. Zbl 0213.35603
Farkas, H. M.
2
1971
Special divisors on compact Riemann surfaces. Zbl 0157.13003
Farkas, H. M.
2
1968
A matrix related to the theorem of Fermat and the Goldbach conjecture. Zbl 1275.11009
Farkas, Hershel M.
1
2013
From Fourier analysis and number theory to Radon transforms and geometry. In Memory of Leon Ehrenpreis. Zbl 1250.00009
Farkas, Hershel M. (ed.); Gunning, Robert C. (ed.); Knopp, Marvin I. (ed.); Taylor, B. A. (ed.)
1
2013
Remembering Leon Ehrenpreis (1930–2010). Zbl 1225.01086
Struppa, Daniele C.; Farkas, Hershel; Kawai, Takahiro; Kuchment, Peter; Quinto, Eric Todd; Sternberg, Shlomo; Taylor, Alan
1
2011
On theta constant identities and the evaluation of trigonometric sums. Zbl 1036.30027
Farkas, Hershel M.; Kra, Irwin
1
2002
Three term theta identities. Zbl 0971.11026
Farkas, Hershel M.; Kra, Irwin
1
2000
Ramanujan partition identities. Zbl 0963.11059
Farkas, Hershel M.; Kra, Irwin
1
1999
Number theory, theta identities, and modular curves. Zbl 0870.30030
Brooks, Robert; Farkas, Hershel M.; Kra, Irwin
1
1997
Generalizations of the \(\lambda\) function. Zbl 0873.30025
Farkas, Hershel M.
1
1996
Schottky-Jung theory. Zbl 0698.14025
Farkas, Hershel M.
1
1989
Remarks on Clifford indices. Zbl 0651.14018
Farkas, H. M.
1
1988
The \((g-1)\)-support cover of the canonical locus. Zbl 0603.30053
Farkas, H. M.; Fried, M.
1
1986
Singular points of theta functions, quadric relations and holomorphic differentials with prescribed zeros. Zbl 0419.30039
Farkas, H. M.
1
1979
Some refinements of the Poincaré period relation. Zbl 0365.30009
Ehrenpreis, L.; Farkas, H. M.
1
1974
Relations between quadratic differentials. Zbl 0233.32020
Farkas, Hershel M.
1
1971
A matrix related to the theorem of Fermat and the Goldbach conjecture. Zbl 1275.11009
Farkas, Hershel M.
1
2013
From Fourier analysis and number theory to Radon transforms and geometry. In Memory of Leon Ehrenpreis. Zbl 1250.00009
Farkas, Hershel M. (ed.); Gunning, Robert C. (ed.); Knopp, Marvin I. (ed.); Taylor, B. A. (ed.)
1
2013
Generalizations of Thomae’s formula for \(Z_n\) curves. Zbl 1222.14001
Farkas, Hershel M.; Zemel, Shaul
7
2011
Remembering Leon Ehrenpreis (1930–2010). Zbl 1225.01086
Struppa, Daniele C.; Farkas, Hershel; Kawai, Takahiro; Kuchment, Peter; Quinto, Eric Todd; Sternberg, Shlomo; Taylor, Alan
1
2011
Thomae’s formula for \(Z_n\) curves. Zbl 1215.14030
Ebin, David G.; Farkas, Hershel M.
4
2010
Theta functions in complex analysis and number theory. Zbl 1206.11055
Farkas, Hershel M.
6
2008
An elementary proof of Thomae’s formulae. Zbl 1188.14018
Eisenmann, Amichai; Farkas, Hershel M.
6
2008
Vanishing thetanulls and Jacobians. Zbl 1099.14020
Farkas, Henshel M.
3
2006
Sums of squares and triangular numbers. Zbl 1206.11041
Farkas, Hershel M.
2
2006
On an arithmetical function. II. Zbl 1176.11013
Farkas, Hershel M.
3
2005
Variants of the \(3N+1\) conjecture and multiplicative semigroups. Zbl 1120.11014
Farkas, Hershel M.
2
2005
On an arithmetical function. Zbl 1071.11005
Farkas, Hershel M.
5
2004
On theta constant identities and the evaluation of trigonometric sums. Zbl 1036.30027
Farkas, Hershel M.; Kra, Irwin
1
2002
Theta constants, Riemann surfaces and the modular group. An introduction with applications to uniformization theorems, partition identities and combinatorial number theory. Zbl 0982.30001
Farkas, Hershel M.; Kra, Irwin
33
2001
Cosines and triangular numbers. Zbl 1053.11031
Farkas, H. M.; Kra, I.
10
2001
Partitions and theta constant identities. Zbl 1050.11086
Farkas, Hershel M.; Kra, Irwin
10
2000
Three term theta identities. Zbl 0971.11026
Farkas, Hershel M.; Kra, Irwin
1
2000
On the quintuple product identity. Zbl 0932.11029
Farkas, Hershel M.; Kra, Irwin
10
1999
Ramanujan partition identities. Zbl 0963.11059
Farkas, Hershel M.; Kra, Irwin
1
1999
Number theory, theta identities, and modular curves. Zbl 0870.30030
Brooks, Robert; Farkas, Hershel M.; Kra, Irwin
1
1997
Uniformizations of modular curves. Zbl 0860.11022
Farkas, Hershel M.; Kopeliovich, Yaacov; Kra, Irwin
3
1996
Corrigendum to “Uniformization of modular curves”. Zbl 0957.11023
Farkas, Hershel M.; Kopeliovich, Yaacov; Kra, Irwin
2
1996
Generalizations of the \(\lambda\) function. Zbl 0873.30025
Farkas, Hershel M.
1
1996
New theta constant identities. II. Zbl 0826.11018
Farkas, Hershel M.; Kopeliovich, Yaacov
3
1995
New theta constant identities. Zbl 0786.11022
Farkas, Hershel M.; Kopeliovich, Yaacov
4
1993
Automorphic forms for subgroups of the modular group. Zbl 0799.11011
Farkas, Hershel M.; Kra, Irwin
4
1993
Riemann surfaces. 2nd ed. Zbl 0764.30001
Farkas, Hershel M.; Kra, Irwin
265
1992
Identities on compact Riemann surfaces. Zbl 1078.14522
Farkas, H. M.
2
1991
Schottky-Jung theory. Zbl 0698.14025
Farkas, Hershel M.
1
1989
Remarks on Clifford indices. Zbl 0651.14018
Farkas, H. M.
1
1988
Unramified double coverings of hyperelliptic surfaces. II. Zbl 0634.30040
Farkas, H. M.
8
1987
Unramified coverings of hyperelliptic Riemann surfaces. Zbl 0625.30044
Farkas, H. M.
4
1987
The \((g-1)\)-support cover of the canonical locus. Zbl 0603.30053
Farkas, H. M.; Fried, M.
1
1986
On Fay’s tri-secant formula. Zbl 0574.14026
Farkas, Hershel M.
2
1985
Differential geometry and complex analysis. A volume dedicated to the memory of Harry Ernest Rauch. Zbl 0561.00010
Chavel, I. (ed.); Farkas, H. M. (ed.)
2
1985
Riemann surfaces. Zbl 0475.30001
Farkas, H. M.; Kra, I.
317
1980
Singular points of theta functions, quadric relations and holomorphic differentials with prescribed zeros. Zbl 0419.30039
Farkas, H. M.
1
1979
Unramified double coverings of hyperelliptic surfaces. Zbl 0348.32006
Farkas, H. M.
19
1976
Theta functions with applications to Riemann surfaces. Zbl 0292.30015
Rauch, Harry E.; Farkas, Hershel M.
50
1974
Remarks on automorphisms of compact Riemann surfaces. Zbl 0293.30019
Farkas, Hershel M.
8
1974
Some refinements of the Poincaré period relation. Zbl 0365.30009
Ehrenpreis, L.; Farkas, H. M.
1
1974
Period relations for hyperelliptic Riemann surfaces. Zbl 0231.32008
Farkas, Hershel M.
2
1971
Abelian differentials with double zeros. Zbl 0213.35603
Farkas, H. M.
2
1971
Relations between quadratic differentials. Zbl 0233.32020
Farkas, Hershel M.
1
1971
Period relations of Schottky type on Riemann surfaces. Zbl 0204.09602
Farkas, H. M.; Rauch, H. E.
12
1970
On the Schottky relation and its generalization to arbitrary genus. Zbl 0202.07902
Farkas, H. M.
5
1970
Theta constants of two kinds on a compact Riemann surface of genus 2. Zbl 0207.38101
Rauch, H. E.; Farkas, H. M.
4
1970
Two kinds of theta constants and period relations on a Riemann surface. Zbl 0176.38302
Farkas, H. M.; Rauch, H. E.
7
1969
Weierstrass points and analytic submanifolds of Teichmueller space. Zbl 0175.08201
Farkas, H. M.
5
1969
Theta constants, Moduli, and compact Riemann surfaces. Zbl 0175.08103
Farkas, H. M.
3
1969
Relations between two kinds of theta constants on a Riemann surface. Zbl 0176.38301
Rauch, H. E.; Farkas, H. M.
4
1968
Special divisors on compact Riemann surfaces. Zbl 0157.13003
Farkas, H. M.
2
1968
Special divisors and analytic subloci of teichmueller space. Zbl 0154.33101
Farkas, H. M.
24
1967
Automorphisms of compact Riemann surfaces and the vanishing of theta constants. Zbl 0153.09901
Farkas, H. M.
12
1967
all top 5

Cited by 841 Authors

17 Farkas, Hershel M.
11 Lopez Fernandez, Francisco Jose
10 Kopeliovich, Yaacov
9 Bujalance, Emilio
9 Fan, Engui
8 Bertola, Marco
8 Enolskiĭ, Viktor Zelikovich
8 Gromadzki, Grzegorz
8 Hidalgo, Rubén Antonio
7 Geng, Xianguo
7 González-Diez, Gabino
7 Martín, Francisco
7 Matone, Marco
7 Matsuda, Kazuhide
7 Mednykh, Il’ya Aleksandrovich
7 Tyszkowska, Ewa
6 Accola, Robert D. M.
6 Alarcón, Antonio
6 Bell, Steven R.
6 Bogatyrev, Andrei Borisovich
6 Lax, Robert F.
6 Tovbis, Alexander
6 Zhao, Peng
5 Kra, Irwin
5 Liu, Zhi-Guo
5 Mednykh, Aleksandr Dmitrievich
5 Mo, Man Yue
5 Tuite, Michael P.
5 Zemel, Shaul
5 Zuevsky, Alexander
4 Chueshev, Viktor Vasil’evich
4 Cirre, Francisco-Javier
4 Forstnerič, Franc
4 Gamboa Mutuberria, José Manuel
4 Grigor’ev, O. A.
4 Hou, Yu
4 Hubert, Pascal
4 Isidro San Juan, José-Maria
4 Its, Alexander Rudolfovich
4 Jorgenson, Jay Alan
4 Reyes-Carocca, Sebastián
4 Torres, Fernando
4 Turbek, Peter
4 Tzou, Leo
3 Baruah, Nayandeep Deka
3 Broughton, S. Allen
3 Coppens, Marc
3 Deconinck, Bernard
3 Doliwa, Adam
3 Eynard, Bertrand
3 Fernández, Isabel
3 Ferrer, Leonor
3 Fuertes, Yolanda
3 Garcia, Arnaldo
3 Guan, Qi’an
3 He, Guoliang
3 Horiuchi, Ryutaro
3 Kato, Takao
3 Katz, Mikhail G.
3 Kuijlaars, Arno B. J.
3 Leyton-Alvarez, Maximiliano
3 Mariño, Marcos
3 Mason, Geoffrey
3 Mundet i Riera, Ignasi
3 Polizzi, Francesco
3 Previato, Emma
3 Ross, Marty
3 Sabourau, Stéphane
3 Salvati Manni, Riccardo
3 Schatzle, Reiner
3 Shaska, Tanush
3 Souam, Rabah
3 Venakides, Stephanos
3 Vinnikov, Victor
3 Volpato, Roberto
3 Zhai, Yunyun
3 Zhou, Xiangyu
2 Alonso, L. Martínez
2 Alvarez-Gaumé, Luis
2 Aryana, Cyrus Parsi
2 Athreya, Jayadev S.
2 Baker, Matthew H.
2 Ball, Joseph Anthony
2 Beauville, Arnaud
2 Berndt, Bruce Carl
2 Biswas, Indranil
2 Braden, Harry W.
2 Buser, Peter
2 Cangelmi, Leonardo
2 Cao, Guangfu
2 Casey, Stephen D.
2 Christiansen, Jacob Stordal
2 Chu, Wenchang
2 Chuesheva, Olga A.
2 Clancey, Kevin F.
2 Cooper, Shaun
2 Cove, Henry C. D.
2 Daubechies, Ingrid Chantal
2 Deift, Percy A.
2 Donagi, Ron Y.
...and 741 more Authors
all top 5

Cited in 178 Serials

42 Communications in Mathematical Physics
32 Transactions of the American Mathematical Society
28 Nuclear Physics. B
26 Proceedings of the American Mathematical Society
21 Duke Mathematical Journal
18 Journal of Geometry and Physics
18 Journal of Pure and Applied Algebra
17 Advances in Mathematics
17 The Ramanujan Journal
16 Manuscripta Mathematica
15 Israel Journal of Mathematics
15 Journal of Mathematical Physics
14 Mathematische Zeitschrift
14 Journal of High Energy Physics
12 Letters in Mathematical Physics
12 Journal of Algebra
12 Mathematische Annalen
11 Inventiones Mathematicae
10 Compositio Mathematica
9 Journal of Number Theory
9 Physica D
7 Journal of Mathematical Analysis and Applications
7 Annales de l’Institut Fourier
7 The Journal of Geometric Analysis
6 Journal d’Analyse Mathématique
6 Archiv der Mathematik
6 Geometriae Dedicata
6 Acta Applicandae Mathematicae
6 Differential Geometry and its Applications
6 International Journal of Number Theory
6 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
6 Journal of Siberian Federal University. Mathematics & Physics
5 Acta Mathematica
5 Journal of Combinatorial Theory. Series A
5 Journal of Functional Analysis
5 Siberian Mathematical Journal
5 Topology and its Applications
5 Revista Matemática Iberoamericana
5 Geometric and Functional Analysis. GAFA
5 Bulletin of the American Mathematical Society. New Series
5 Conformal Geometry and Dynamics
5 Acta Mathematica Sinica. English Series
5 Analysis and Mathematical Physics
4 Physics Letters. A
4 Rocky Mountain Journal of Mathematics
4 Theoretical and Mathematical Physics
4 Chaos, Solitons and Fractals
4 Annali di Matematica Pura ed Applicata. Serie Quarta
4 Kodai Mathematical Journal
4 Proceedings of the Japan Academy. Series A
4 European Journal of Combinatorics
4 Linear Algebra and its Applications
4 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
4 Computational Methods and Function Theory
3 Communications on Pure and Applied Mathematics
3 Mathematical Proceedings of the Cambridge Philosophical Society
3 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
3 Journal of Approximation Theory
3 Journal of Soviet Mathematics
3 Doklady Mathematics
3 Geometry & Topology
3 Annals of Combinatorics
3 Revista Matemática Complutense
3 Algebraic & Geometric Topology
3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
3 Proceedings of the Steklov Institute of Mathematics
3 Science China. Mathematics
2 Discrete Mathematics
2 Mathematical Notes
2 Physics Letters. B
2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
2 Applied Mathematics and Computation
2 Journal of Differential Equations
2 Journal of Geometry
2 Memoirs of the American Mathematical Society
2 Michigan Mathematical Journal
2 Monatshefte für Mathematik
2 Osaka Journal of Mathematics
2 Publications of the Research Institute for Mathematical Sciences, Kyoto University
2 Rendiconti del Circolo Matemàtico di Palermo. Serie II
2 Tohoku Mathematical Journal. Second Series
2 Annals of Global Analysis and Geometry
2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
2 Constructive Approximation
2 Journal of the American Mathematical Society
2 Annals of Physics
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 Indagationes Mathematicae. New Series
2 Journal of Nonlinear Science
2 Experimental Mathematics
2 Journal of Algebraic Geometry
2 Journal de Théorie des Nombres de Bordeaux
2 Annales Academiae Scientiarum Fennicae. Mathematica
2 Annals of Mathematics. Second Series
2 Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya: Matematika, Mekhanika, Informatika
2 Bulletin of the American Mathematical Society
2 Mathematics in Computer Science
2 Research in the Mathematical Sciences
2 Research in Number Theory
1 Modern Physics Letters A
...and 78 more Serials
all top 5

Cited in 52 Fields

273 Algebraic geometry (14-XX)
244 Functions of a complex variable (30-XX)
116 Several complex variables and analytic spaces (32-XX)
100 Number theory (11-XX)
93 Quantum theory (81-XX)
92 Differential geometry (53-XX)
69 Dynamical systems and ergodic theory (37-XX)
68 Partial differential equations (35-XX)
51 Global analysis, analysis on manifolds (58-XX)
40 Manifolds and cell complexes (57-XX)
32 Group theory and generalizations (20-XX)
27 Combinatorics (05-XX)
27 Special functions (33-XX)
19 Operator theory (47-XX)
17 Relativity and gravitational theory (83-XX)
15 Statistical mechanics, structure of matter (82-XX)
12 Linear and multilinear algebra; matrix theory (15-XX)
11 Nonassociative rings and algebras (17-XX)
11 Calculus of variations and optimal control; optimization (49-XX)
10 Potential theory (31-XX)
9 Harmonic analysis on Euclidean spaces (42-XX)
9 Probability theory and stochastic processes (60-XX)
8 Functional analysis (46-XX)
8 Algebraic topology (55-XX)
7 Numerical analysis (65-XX)
6 Topological groups, Lie groups (22-XX)
6 Ordinary differential equations (34-XX)
6 Convex and discrete geometry (52-XX)
6 Mechanics of particles and systems (70-XX)
6 Fluid mechanics (76-XX)
5 Difference and functional equations (39-XX)
4 General topology (54-XX)
4 Information and communication theory, circuits (94-XX)
3 History and biography (01-XX)
3 Field theory and polynomials (12-XX)
3 Integral transforms, operational calculus (44-XX)
3 Computer science (68-XX)
2 Commutative algebra (13-XX)
2 Measure and integration (28-XX)
2 Sequences, series, summability (40-XX)
2 Approximations and expansions (41-XX)
2 Abstract harmonic analysis (43-XX)
2 Optics, electromagnetic theory (78-XX)
1 General and overarching topics; collections (00-XX)
1 Associative rings and algebras (16-XX)
1 \(K\)-theory (19-XX)
1 Real functions (26-XX)
1 Geometry (51-XX)
1 Mechanics of deformable solids (74-XX)
1 Geophysics (86-XX)
1 Operations research, mathematical programming (90-XX)
1 Biology and other natural sciences (92-XX)

Citations by Year

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