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## Coble, Arthur Byron

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 Author ID: coble.arthur-byron Published as: Coble, A. B.; Coble, Arthur B.; Coble, Arthur; Coble, B. External Links: MacTutor · MGP · Wikidata · GND · IdRef
 Documents Indexed: 85 Publications since 1903, including 3 Books Biographic References: 1 Publication
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#### Co-Authors

 78 single-authored 2 Chanler, Josephine Hughes 2 Emch, Arnold F. 2 Lefschetz, Solomon 2 Morley, Frank 2 Sharpe, Francis Robert 2 Sisam, Charles Herschel 2 Snyder, Virgil 1 Black, Amos Hale 1 Brahana, H. B. 1 Dye, Leaman Andrew
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#### Serials

 26 American Journal of Mathematics 21 Bulletin of the American Mathematical Society 11 Duke Mathematical Journal 9 Transactions of the American Mathematical Society 4 Proceedings of the National Academy of Sciences of the United States of America 1 American Mathematical Monthly 1 Mathematische Annalen 1 Annals of Mathematics. Second Series 1 Colloquium Publications. American Mathematical Society

#### Fields

 2 Algebraic geometry (14-XX) 1 History and biography (01-XX) 1 Field theory and polynomials (12-XX)

#### Citations contained in zbMATH Open

48 Publications have been cited 170 times in 107 Documents Cited by Year
Algebraic geometry and theta functions. JFM 55.0808.02
Coble, Arthur B.
1929
Selected topics in algebraic geometry. Zbl 0213.47101
Snyder, Virgil; Black, A. H.; Coble, A. B.; Dye, L. A.; Emch, A.; Lefschetz, Solomon; Sharpe, F. R.; Sisam, C. H.
1970
The ten nodes of the rational sextic and of the Cayley symmetroid. JFM 47.0596.01
Coble, A. B.
1919
Associated sets of points. JFM 49.0490.01
Coble, A. B.
1923
Point sets and allied Cremona groups (Part. I). JFM 45.0940.13
Coble, A. B.
1915
Point sets and allied Cremona groups. II, III. JFM 46.0890.01
Coble, A. B.
1916
New results in elimination. JFM 53.0103.01
Morley, F.; Coble, A. B.
1927
Multiple binary forms with the closure property. JFM 48.0101.01
Coble, A. B.
1921
Cremona transformations and applications to algebra, geometry, and modular functions. JFM 48.0694.04
Coble, A. B.
1922
Point sets and allied Cremona groups. JFM 45.0234.01
Coble, A. B.
1915
A generalization of the Weddle surface, of its Cremona group, and of its parametric expression in terms of hyperelliptic theta functions. JFM 56.0564.02
Coble, A. B.
1930
Selected topics in algebraic geometry. JFM 54.0669.05
Snyder, V.; Coble, A. B.; Emch, A.; Lefschetz, S.; Sharpe, F. R.; Sisam, C. H.
1928
Cremona’s diophantine equations. Zbl 0010.12804
Coble, Arthur B.
1934
Double binary forms with the closure property. JFM 52.0637.02
Coble, A. B.
1926
Maps of twelve countries with five sides with a group of order 120 containing an ikosahedral subgroup. JFM 52.0119.02
Brahana, H. B.; Coble, A. B.
1926
Theta modular groups determined by point sets. JFM 46.0612.04
Coble, A. B.
1918
The reduction of the sextic equation to the Valentiner form-problem. JFM 42.0120.01
Coble, A. B.
1911
An application of the form-problems associated with certain Cremona-groups to the solution of equations of higher degree. JFM 39.0165.01
Coble, A. B.
1908
On the relation between the threeparameter-groups of a cubic space curve and a quadric surface. JFM 37.0652.01
Coble, A. B.
1906
The quartic curve as related to conics. JFM 34.0642.03
Coble, A. B.
1903
The geometry of the Weddle manifold $$W_p$$. Zbl 0011.26904
Coble, Arthur B.; Chanler, Josephine H.
1935
The double-$$N_n$$ configuration. Zbl 0063.00922
Coble, Arthur B.
1942
Ternary and quaternary elimination. Zbl 0063.00924
Coble, Arthur B.
1946
On the expression of an algebraic form in terms of a set of forms with non-zero resultant. Zbl 0063.00925
Coble, Arthur B.
1946
Geometric aspects of the abelian modular functions of genus four. JFM 50.0415.02
Coble, A. B.
1924
Geometric aspects of the abelian modular functions of genus four. II. JFM 55.0374.02
Coble, A. B.
1929
Concerning a method for finding a particular integral. JFM 47.0416.03
Coble, A. B.
1919
An isomorphism between theta characteristics and the $$(2p+2)$$-point. JFM 46.0612.03
Coble, A. B.
1916
Point sets and allied Cremona groups. JFM 45.0132.06
Coble, B.
1915
Restricted systems of equations. JFM 45.1242.05
Coble, A. B.
1914
An application of finite geometry to the characteristic theory of the odd and even theta functions. JFM 44.0532.01
Coble, A. B.
1913
An application of Moore’s cross-ratio group to the solution of the sextic equation. JFM 42.0121.01
Coble, A. B.
1911
Symmetric binary forms and involutions (Continued). JFM 41.0143.05
Coble, A. B.
1910
Symmetric binary forms and involutions. JFM 40.0170.02
Coble, A. B.
1909
An invariant condition for certain automorphic algebraic forms. JFM 37.0140.01
Coble, A. B.
1906
Collineations whose characteristic determinants have linear elementary divisors with an application to quadratic forms. JFM 36.0173.01
Coble, A. B.
1905
Hyperelliptic functions and irrational binary invariants. I. Zbl 0004.39007
Coble, Arthur B.
1932
Hyperelliptic functions and irrational binary invariants. II. Zbl 0006.12005
Coble, Arthur B.
1933
Hyperelliptic functions and irrational binary invariants. III. Zbl 0007.15603
Coble, Arthur B.
1933
The geometry of the Weddle manifold $$W_p$$. Zbl 0011.26903
Coble, A. B.
1935
Collineation groups in a finite space with a linear and a quadratic invariant. Zbl 0013.15102
Coble, Arthur B.
1936
Groups of Cremona transformations in space of planar type. Zbl 0013.31803
Coble, Arthur B.
1936
Groups of Cremona transformations in space of planar type. II. Zbl 0014.17604
Coble, Arthur B.
1936
A class of linear groups with integral coefficients. Zbl 0017.05805
Coble, Arthur B.
1937
Cremona transformations with an invariant rational sextic. Zbl 0021.15304
Coble, A. B.
1939
Configurations defined by theta functions. Zbl 0022.16304
Coble, Arthur B.
1939
Conditions on the nodes of a rational plane curve. Zbl 0024.16901
Coble, Arthur B.
1940
Cremona transformations with an invariant rational sextic. JFM 65.0709.02
Coble, A. B.
1939
Selected topics in algebraic geometry. Zbl 0213.47101
Snyder, Virgil; Black, A. H.; Coble, A. B.; Dye, L. A.; Emch, A.; Lefschetz, Solomon; Sharpe, F. R.; Sisam, C. H.
1970
Ternary and quaternary elimination. Zbl 0063.00924
Coble, Arthur B.
1946
On the expression of an algebraic form in terms of a set of forms with non-zero resultant. Zbl 0063.00925
Coble, Arthur B.
1946
The double-$$N_n$$ configuration. Zbl 0063.00922
Coble, Arthur B.
1942
Conditions on the nodes of a rational plane curve. Zbl 0024.16901
Coble, Arthur B.
1940
Cremona transformations with an invariant rational sextic. Zbl 0021.15304
Coble, A. B.
1939
Configurations defined by theta functions. Zbl 0022.16304
Coble, Arthur B.
1939
Cremona transformations with an invariant rational sextic. JFM 65.0709.02
Coble, A. B.
1939
A class of linear groups with integral coefficients. Zbl 0017.05805
Coble, Arthur B.
1937
Collineation groups in a finite space with a linear and a quadratic invariant. Zbl 0013.15102
Coble, Arthur B.
1936
Groups of Cremona transformations in space of planar type. Zbl 0013.31803
Coble, Arthur B.
1936
Groups of Cremona transformations in space of planar type. II. Zbl 0014.17604
Coble, Arthur B.
1936
The geometry of the Weddle manifold $$W_p$$. Zbl 0011.26904
Coble, Arthur B.; Chanler, Josephine H.
1935
The geometry of the Weddle manifold $$W_p$$. Zbl 0011.26903
Coble, A. B.
1935
Cremona’s diophantine equations. Zbl 0010.12804
Coble, Arthur B.
1934
Hyperelliptic functions and irrational binary invariants. II. Zbl 0006.12005
Coble, Arthur B.
1933
Hyperelliptic functions and irrational binary invariants. III. Zbl 0007.15603
Coble, Arthur B.
1933
Hyperelliptic functions and irrational binary invariants. I. Zbl 0004.39007
Coble, Arthur B.
1932
A generalization of the Weddle surface, of its Cremona group, and of its parametric expression in terms of hyperelliptic theta functions. JFM 56.0564.02
Coble, A. B.
1930
Algebraic geometry and theta functions. JFM 55.0808.02
Coble, Arthur B.
1929
Geometric aspects of the abelian modular functions of genus four. II. JFM 55.0374.02
Coble, A. B.
1929
Selected topics in algebraic geometry. JFM 54.0669.05
Snyder, V.; Coble, A. B.; Emch, A.; Lefschetz, S.; Sharpe, F. R.; Sisam, C. H.
1928
New results in elimination. JFM 53.0103.01
Morley, F.; Coble, A. B.
1927
Double binary forms with the closure property. JFM 52.0637.02
Coble, A. B.
1926
Maps of twelve countries with five sides with a group of order 120 containing an ikosahedral subgroup. JFM 52.0119.02
Brahana, H. B.; Coble, A. B.
1926
Geometric aspects of the abelian modular functions of genus four. JFM 50.0415.02
Coble, A. B.
1924
Associated sets of points. JFM 49.0490.01
Coble, A. B.
1923
Cremona transformations and applications to algebra, geometry, and modular functions. JFM 48.0694.04
Coble, A. B.
1922
Multiple binary forms with the closure property. JFM 48.0101.01
Coble, A. B.
1921
The ten nodes of the rational sextic and of the Cayley symmetroid. JFM 47.0596.01
Coble, A. B.
1919
Concerning a method for finding a particular integral. JFM 47.0416.03
Coble, A. B.
1919
Theta modular groups determined by point sets. JFM 46.0612.04
Coble, A. B.
1918
Point sets and allied Cremona groups. II, III. JFM 46.0890.01
Coble, A. B.
1916
An isomorphism between theta characteristics and the $$(2p+2)$$-point. JFM 46.0612.03
Coble, A. B.
1916
Point sets and allied Cremona groups (Part. I). JFM 45.0940.13
Coble, A. B.
1915
Point sets and allied Cremona groups. JFM 45.0234.01
Coble, A. B.
1915
Point sets and allied Cremona groups. JFM 45.0132.06
Coble, B.
1915
Restricted systems of equations. JFM 45.1242.05
Coble, A. B.
1914
An application of finite geometry to the characteristic theory of the odd and even theta functions. JFM 44.0532.01
Coble, A. B.
1913
The reduction of the sextic equation to the Valentiner form-problem. JFM 42.0120.01
Coble, A. B.
1911
An application of Moore’s cross-ratio group to the solution of the sextic equation. JFM 42.0121.01
Coble, A. B.
1911
Symmetric binary forms and involutions (Continued). JFM 41.0143.05
Coble, A. B.
1910
Symmetric binary forms and involutions. JFM 40.0170.02
Coble, A. B.
1909
An application of the form-problems associated with certain Cremona-groups to the solution of equations of higher degree. JFM 39.0165.01
Coble, A. B.
1908
On the relation between the threeparameter-groups of a cubic space curve and a quadric surface. JFM 37.0652.01
Coble, A. B.
1906
An invariant condition for certain automorphic algebraic forms. JFM 37.0140.01
Coble, A. B.
1906
Collineations whose characteristic determinants have linear elementary divisors with an application to quadratic forms. JFM 36.0173.01
Coble, A. B.
1905
The quartic curve as related to conics. JFM 34.0642.03
Coble, A. B.
1903
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#### Cited by 135 Authors

 13 Dolgachev, Igor’ Vladimirovich 4 Pan Perez, Ivan 4 Roth, Leonard 3 Cossec, Francois R. 3 Ottaviani, Giorgio Maria 3 Tsuda, Teruhisa 2 Canny, John F. 2 Cantat, Serge 2 Ciesielska, Danuta 2 Del Centina, Andrea 2 Elsenhans, Andreas-Stephan 2 Huff, Gerald B. 2 Jahnel, Jörg 2 Kondō, Shigeyuki 2 Lesieutre, John 2 Maligranda, Lech 2 Manocha, Dinesh 2 Ottem, John Christian 2 Salvati Manni, Riccardo 2 Sam, Steven V. 2 Scheiderer, Claus 2 Sernesi, Edoardo 2 Sturmfels, Bernd 2 Vust, Thierry 1 Allcock, Daniel Jonathan 1 Argáez, A. S. 1 Ascoli, Guido 1 Bannai, Shinzo 1 Beauville, Arnaud 1 Belkale, Prakash 1 Blanc, Jérémy 1 Blasco, Ángel 1 Böhm, Janko 1 Bolognesi, Michele 1 Borcea, Ciprian S. 1 Brivio, Sonia 1 Caminata, Alessio 1 Casagrande, Cinzia 1 Chiantini, Luca 1 Codogni, Giulio 1 Crass, Scott 1 Dantas, Divane 1 de Cornulier, Yves 1 Degtyarev, Alex 1 Diller, Jeffrey 1 Ducrohet, Laurent 1 Eisenbud, David 1 Fanelli, Andrea 1 Farb, Benson 1 Farkas, Gavril 1 Freitag, Eberhard 1 Giansiracusa, Noah 1 Gibney, Angela 1 Griess, Robert L. jun. 1 Gruson, Laurent 1 Heaton, Alexander 1 Hirschowitz, André 1 Hong, Kyusik 1 Hoşten, Serkan 1 Jouanolou, Jean-Pierre 1 Kapranov, Mikhail M. 1 Kazanova, Anna 1 Kim, Kyounghee 1 Kirkpatrick, P. B. 1 Kitazawa, Takashi 1 Koike, Kenji 1 Koitabashi, Masanori 1 Kollár, János 1 Komeda, Jiryo 1 Koshkin, Sergiy 1 Kunert, Aaron 1 Kung, Joseph P. S. 1 Labs, Oliver 1 Lamy, Stéphane 1 Laszlo, Yves 1 Lehavi, David 1 Looijenga, Eduard J. N. 1 Ma, Shouhei 1 Manivel, Laurent 1 Marais, Magdaleen S. 1 Mathews, Robert Maurice 1 Matsumoto, Keiji 1 Matsutani, Shigeki 1 Mattuck, Arthur 1 McMullen, Curtis Tracy 1 Moon, Han-Bom 1 Morier-Genoud, Sophie 1 Nagaraj, Donihakkalu Shankar 1 Nguyen, Quang Minh 1 Ortega, Angela 1 Ovsienko, Valentin Yu. 1 Pauly, Christian 1 Pérez-Díaz, Sonia 1 Piazza, Francesco Dalla 1 Pirio, Luc 1 Popescu, Sorin 1 Powers, Victoria Ann 1 Previato, Emma 1 Prokhorov, Yuriĭ Gennad’evich 1 Ramanan, Sundararaman ...and 35 more Authors
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#### Cited in 58 Serials

 6 Mathematische Annalen 5 Annali di Matematica Pura ed Applicata. Serie Quarta 5 Michigan Mathematical Journal 5 Transactions of the American Mathematical Society 5 Experimental Mathematics 4 International Journal of Mathematics 3 Advances in Mathematics 3 Annales de l’Institut Fourier 3 Duke Mathematical Journal 3 Journal of Algebra 3 Mathematische Zeitschrift 3 Journal of Algebraic Geometry 3 Bulletin of the American Mathematical Society 2 Letters in Mathematical Physics 2 Geometriae Dedicata 2 Bulletin of the American Mathematical Society. New Series 2 Advances in Geometry 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Archive for History of Exact Sciences 1 Information Processing Letters 1 Israel Journal of Mathematics 1 Physics Letters. A 1 Journal of Geometry and Physics 1 The Mathematical Intelligencer 1 Acta Mathematica 1 Publications Mathématiques 1 Inventiones Mathematicae 1 Journal of Combinatorial Theory. Series B 1 Journal of Computational and Applied Mathematics 1 Journal of the Mathematical Society of Japan 1 Journal of Pure and Applied Algebra 1 Osaka Journal of Mathematics 1 Proceedings of the London Mathematical Society. Third Series 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 Rendiconti del Seminario Matematico della Università di Padova 1 Computer Aided Geometric Design 1 Journal of Symbolic Computation 1 Journal of the American Mathematical Society 1 International Journal of Algebra and Computation 1 Historia Mathematica 1 Mathematical Programming. Series A. Series B 1 Journal of Algebraic Combinatorics 1 Izvestiya: Mathematics 1 Acta Mathematica et Informatica Universitatis Ostraviensis 1 Revista Matemática Complutense 1 Journal of the Australian Mathematical Society 1 Milan Journal of Mathematics 1 Central European Journal of Mathematics 1 Journal of Algebra and its Applications 1 Journal of Modern Dynamics 1 International Electronic Journal of Geometry 1 Science China. Mathematics 1 Antiquitates Mathematicae 1 Forum of Mathematics, Sigma 1 European Journal of Mathematics 1 SIAM Journal on Applied Algebra and Geometry 1 Annales Henri Lebesgue
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#### Cited in 22 Fields

 83 Algebraic geometry (14-XX) 9 Dynamical systems and ergodic theory (37-XX) 9 Geometry (51-XX) 6 History and biography (01-XX) 6 Number theory (11-XX) 6 Group theory and generalizations (20-XX) 5 Combinatorics (05-XX) 4 Difference and functional equations (39-XX) 4 Convex and discrete geometry (52-XX) 4 Numerical analysis (65-XX) 4 Computer science (68-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Nonassociative rings and algebras (17-XX) 3 Several complex variables and analytic spaces (32-XX) 2 Commutative algebra (13-XX) 2 Ordinary differential equations (34-XX) 2 Operations research, mathematical programming (90-XX) 1 General and overarching topics; collections (00-XX) 1 Field theory and polynomials (12-XX) 1 Special functions (33-XX) 1 Differential geometry (53-XX) 1 Statistical mechanics, structure of matter (82-XX)

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