Some factorization results for bivariate polynomials

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Published inCommunications in algebra pp. 1 - 14
Main Authors Bonciocat, Nicolae Ciprian, Garg, Rishu, Singh, Jitender
Format Journal Article
LanguageEnglish
Published 01.08.2024
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Author Garg, Rishu
Singh, Jitender
Bonciocat, Nicolae Ciprian
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Cites_doi 10.1016/j.indag.2023.09.001
10.1007/BFb0080437
10.1090/S0002-9939-2012-10880-9
10.1515/crll.1850.39.160
10.4153/CJM-1988-013-6
10.4169/amer.math.monthly.120.07.648
10.1515/crll.1907.132.288
10.1080/00927872.2011.594136
10.1007/s00013-023-01873-y
10.1080/00029890.1935.11987732
10.1515/crll.1846.32.93
10.1006/jabr.2000.8586
10.1016/j.indag.2021.09.008
10.1080/00029890.2020.1718952
10.1080/00029890.2005.11920194
10.1016/j.jpaa.2008.03.026
10.1090/S0002-9904-1934-05989-5
10.1080/00927872.2023.2301530
10.1017/S0004972721000861
10.1080/00029890.2002.11919872
10.1006/jnth.1999.2476
10.1016/j.jnt.2013.11.001
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References Mott J. (e_1_3_3_25_1) 1995
e_1_3_3_30_1
Bonciocat A. I. (e_1_3_3_4_1) 2023; 66
Cavachi M. (e_1_3_3_11_1) 2004; 12
Dumas G. (e_1_3_3_14_1) 1906; 2
Ore O. (e_1_3_3_26_1) 1934; 44
Cole M. (e_1_3_3_12_1) 2016; 175
Stäckel P. (e_1_3_3_37_1) 1918; 148
Pólya G. (e_1_3_3_29_1) 1964
e_1_3_3_18_1
e_1_3_3_17_1
e_1_3_3_39_1
e_1_3_3_19_1
Cavachi M. (e_1_3_3_10_1) 2002; 17
e_1_3_3_13_1
e_1_3_3_38_1
e_1_3_3_35_1
e_1_3_3_15_1
Engler A. J. (e_1_3_3_16_1) 2000
e_1_3_3_36_1
e_1_3_3_33_1
e_1_3_3_34_1
e_1_3_3_31_1
e_1_3_3_32_1
Guersenzvaig N. H. (e_1_3_3_22_1) 2013; 13
Mayer D.-E. (e_1_3_3_24_1) 1891; 10
Bonciocat N. C. (e_1_3_3_5_1) 2010; 53
Pólya G. (e_1_3_3_28_1) 1919; 28
e_1_3_3_7_1
e_1_3_3_6_1
e_1_3_3_9_1
Brillhart J. (e_1_3_3_8_1) 1981; 33
e_1_3_3_27_1
e_1_3_3_3_1
e_1_3_3_21_1
e_1_3_3_2_1
e_1_3_3_20_1
e_1_3_3_23_1
References_xml – volume: 44
  start-page: 147
  year: 1934
  ident: e_1_3_3_26_1
  article-title: Einige Bemerkungen über Irreduzibilität
  publication-title: Jahresbericht der Deutschen Mathematiker-Vereinigung
  contributor:
    fullname: Ore O.
– volume: 17
  start-page: 161
  issue: 3
  year: 2002
  ident: e_1_3_3_10_1
  article-title: A class of irreducible polynomials
  publication-title: J. Ramanujan Math. Soc.
  contributor:
    fullname: Cavachi M.
– ident: e_1_3_3_19_1
  doi: 10.1016/j.indag.2023.09.001
– start-page: 307
  volume-title: Zero-Dimensional Commutative Rings (Knoxville, TN, 1994)
  year: 1995
  ident: e_1_3_3_25_1
  contributor:
    fullname: Mott J.
– ident: e_1_3_3_32_1
  doi: 10.1007/BFb0080437
– ident: e_1_3_3_38_1
  doi: 10.1090/S0002-9939-2012-10880-9
– ident: e_1_3_3_15_1
  doi: 10.1515/crll.1850.39.160
– ident: e_1_3_3_17_1
  doi: 10.4153/CJM-1988-013-6
– volume: 10
  start-page: 111
  year: 1891
  ident: e_1_3_3_24_1
  article-title: Sur les eq´uations algébriques
  publication-title: Nouvelles Annales de Mathématiques
  contributor:
    fullname: Mayer D.-E.
– volume: 13
  start-page: 1
  year: 2013
  ident: e_1_3_3_22_1
  article-title: Simple arithmetical criteria for irreducibility of polynomials with integer coefficients
  publication-title: Integers
  contributor:
    fullname: Guersenzvaig N. H.
– ident: e_1_3_3_2_1
  doi: 10.4169/amer.math.monthly.120.07.648
– volume: 2
  start-page: 191
  year: 1906
  ident: e_1_3_3_14_1
  article-title: Sur quelques cas d’irréductibilité des polynomes á coefficients rationnels
  publication-title: J. Math. Pure Appl.
  contributor:
    fullname: Dumas G.
– volume-title: Valued Fields
  year: 2000
  ident: e_1_3_3_16_1
  contributor:
    fullname: Engler A. J.
– ident: e_1_3_3_27_1
  doi: 10.1515/crll.1907.132.288
– volume-title: Aufgaben und Lehrsätze aus der Analysis
  year: 1964
  ident: e_1_3_3_29_1
  contributor:
    fullname: Pólya G.
– ident: e_1_3_3_6_1
  doi: 10.1080/00927872.2011.594136
– ident: e_1_3_3_33_1
  doi: 10.1007/s00013-023-01873-y
– ident: e_1_3_3_13_1
  doi: 10.1080/00029890.1935.11987732
– ident: e_1_3_3_31_1
  doi: 10.1515/crll.1846.32.93
– volume: 175
  start-page: 137
  issue: 2
  year: 2016
  ident: e_1_3_3_12_1
  article-title: Further irreducibility criteria for polynomials with non-negative coefficients
  publication-title: Acta Arith
  contributor:
    fullname: Cole M.
– volume: 33
  start-page: 1055
  issue: 5
  year: 1981
  ident: e_1_3_3_8_1
  article-title: On an irreducibility theorem of A. Cohn. Can
  publication-title: J. Math
  contributor:
    fullname: Brillhart J.
– volume: 28
  start-page: 31
  year: 1919
  ident: e_1_3_3_28_1
  article-title: Verschiedene Bemerkungen zur Zahlentheorie
  publication-title: Jahresber. Deutschen Math. Ver
  contributor:
    fullname: Pólya G.
– volume: 148
  start-page: 101
  year: 1918
  ident: e_1_3_3_37_1
  article-title: Arithmetischen Eigenschaften ganzer Funktionen
  publication-title: J. für Math
  contributor:
    fullname: Stäckel P.
– ident: e_1_3_3_20_1
  doi: 10.1006/jabr.2000.8586
– ident: e_1_3_3_3_1
  doi: 10.1016/j.indag.2021.09.008
– volume: 12
  start-page: 13
  year: 2004
  ident: e_1_3_3_11_1
  article-title: An irreducibility criterion for polynomials in several variables
  publication-title: Acta Math. Univ. Ostrav
  contributor:
    fullname: Cavachi M.
– ident: e_1_3_3_35_1
  doi: 10.1080/00029890.2020.1718952
– ident: e_1_3_3_21_1
  doi: 10.1080/00029890.2005.11920194
– ident: e_1_3_3_7_1
  doi: 10.1016/j.jpaa.2008.03.026
– volume: 66
  start-page: 119
  issue: 114
  year: 2023
  ident: e_1_3_3_4_1
  article-title: Apollonius circles and the number of irreducible factors of polynomials
  publication-title: Bull. Math. Soc. Sci. Math. Roumanie
  contributor:
    fullname: Bonciocat A. I.
– ident: e_1_3_3_23_1
– ident: e_1_3_3_39_1
  doi: 10.1090/S0002-9904-1934-05989-5
– volume: 53
  start-page: 3:213
  issue: 101
  year: 2010
  ident: e_1_3_3_5_1
  article-title: On an irreducibility criterion of Perron for multivariate polynomials
  publication-title: Bull. Math. Soc. Sci. Math. Roumanie, Nouvelle Série
  contributor:
    fullname: Bonciocat N. C.
– ident: e_1_3_3_34_1
  doi: 10.1080/00927872.2023.2301530
– ident: e_1_3_3_36_1
  doi: 10.1017/S0004972721000861
– ident: e_1_3_3_30_1
  doi: 10.1080/00029890.2002.11919872
– ident: e_1_3_3_9_1
  doi: 10.1006/jnth.1999.2476
– ident: e_1_3_3_18_1
  doi: 10.1016/j.jnt.2013.11.001
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