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1Report
مصطلحات موضوعية: Mathematics - Number Theory
URL الوصول: http://arxiv.org/abs/2008.07804
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2Report
المؤلفون: Dey, Pallab Kanti, Roy, Bidisha
مصطلحات موضوعية: Mathematics - Number Theory
URL الوصول: http://arxiv.org/abs/1908.07791
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3Report
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4Report
المؤلفون: Das, Pranabesh, Dey, Pallab Kanti, Maji, B., Rout, S. S.
مصطلحات موضوعية: Mathematics - Number Theory
URL الوصول: http://arxiv.org/abs/1705.02597
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5Academic Journal
المصدر: Journal of Number Theory ; volume 236, page 443-462 ; ISSN 0022-314X
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6Academic Journal
المؤلفون: Dey, Pallab Kanti
مصطلحات موضوعية: keyword:torsion group, keyword:elliptic curve, keyword:number field, msc:11R04, msc:14H52
وصف الملف: application/pdf
Relation: mr:MR3923581; zbl:Zbl 07088776; reference:[1] Ayoub, R.: An Introduction to the Analytic Theory of Numbers.Mathematical Surveys 10, American Mathematical Society, Providence (1963). Zbl 0128.04303, MR 0160743, 10.1090/surv/010; reference:[2] Bourdon, A., Clark, P. L., Stankewicz, J.: Torsion points on CM elliptic curves over real number fields.Trans. Am. Math. Soc. 369 (1996), 8457-8496. Zbl 06790352, MR 3710632, 10.1090/tran/6905; reference:[3] Dey, P. K.: Elliptic curves with rank $0$ over number fields.Funct. Approximatio, Comment. Math. 56 (2017), 25-37. Zbl 06864143, MR 3629008, 10.7169/facm/1585; reference:[4] González-Jiménez, E.: Complete classification of the torsion structures of rational elliptic curves over quintic number fields.J. Algebra 478 (2017), 484-505. Zbl 1369.11040, MR 3621686, 10.1016/j.jalgebra.2017.01.012; reference:[5] Jeon, D., Kim, C. H., Park, E.: On the torsion of elliptic curves over quartic number fields.J. Lond. Math. Soc., II. Ser. 74 (2006), 1-12. Zbl 1165.11054, MR 2254548, 10.1112/S0024610706022940; reference:[6] Kamienny, S.: Torsion points on elliptic curves and $q$-coefficients of modular forms.Invent. Math. 109 (1992), 221-229. Zbl 0773.14016, MR 1172689, 10.1007/BF01232025; reference:[7] Kenku, M. A., Momose, F.: Torsion points on elliptic curves defined over quadratic fields.Nagoya Math. J. 109 (1988), 125-149. Zbl 0647.14020, MR 0931956, 10.1017/S0027763000002816; reference:[8] Knapp, A. W.: Elliptic Curves.Mathematical Notes (Princeton) 40, Princeton University Press, Princeton (1992). Zbl 0804.14013, MR 1193029; reference:[9] Mazur, B.: Modular curves and the Eisenstein ideal.Publ. Math., Inst. Hautes Étud. Sci. 47 (1977), 33-186. Zbl 0394.14008, MR 0488287, 10.1007/BF02684339; reference:[10] Najman, F.: Complete classification of torsion of elliptic curves over quadratic cyclotomic fields.J. Number Theory 130 (2010), 1964-1968. Zbl 1200.11039, MR 2653208, 10.1016/j.jnt.2009.12.008; reference:[11] Najman, F.: Torsion of elliptic curves over quadratic cyclotomic fields.Math. J. Okayama Univ. 53 (2011), 75-82. Zbl 1222.11076, MR 2778886; reference:[12] Najman, F.: Torsion of rational elliptic curves over cubic fields and sporadic points on $X_1(n)$.Math. Res. Lett. 23 (2016), 245-272. Zbl 06609434, MR 3512885, 10.4310/MRL.2016.v23.n1.a12; reference:[13] Olson, L. D.: Points of finite order on elliptic curves with complex multiplication.Manuscr. Math. 14 (1974), 195-205. Zbl 0292.14015, MR 0352104, 10.1007/BF01171442; reference:[14] Washington, L. C.: Elliptic Curves. Number Theory and Cryptography.Chapman and Hall/CRC, Boca Raton (2008). Zbl 1200.11043, MR 2404461, 10.4324/9780203484029
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7Academic Journal
المؤلفون: Dey, Pallab Kanti, Komatsu, Takao
المصدر: Results in Mathematics ; volume 74, issue 2 ; ISSN 1422-6383 1420-9012
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8Academic Journal
المؤلفون: Dey, Pallab Kanti
مصطلحات موضوعية: elliptic curve, number field, Diophantine equation, 14H52, 11R04
وصف الملف: application/pdf
Relation: http://projecteuclid.org/euclid.facm/1484794815; Funct. Approx. Comment. Math. 56, no. 1 (2017), 25-37
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9Academic Journal
المؤلفون: Dey, Pallab Kanti, Rout, Sudhansu Sekhar
المساهمون: Department of Atomic Energy, Government of India
المصدر: Archiv der Mathematik ; volume 108, issue 1, page 29-43 ; ISSN 0003-889X 1420-8938
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10Academic Journal
المؤلفون: Baier, Stephan, Dey, Pallab Kanti
المصدر: Research in Number Theory; 12/13/2019, Vol. 6 Issue 2, p1-12, 12p
مصطلحات موضوعية: INTEGERS, DIVISOR theory, CYCLOTOMIC fields, MANUFACTURED products
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11Academic Journal
المؤلفون: Dey, Pallab Kanti
مصطلحات موضوعية: eliptické křivky, elliptic curves, torsion group, number field
جغرافية الموضوع: 161-171
Time: 13, 51
وصف الملف: print; média; svazek
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12Academic Journal
المؤلفون: Dey, Pallab Kanti1 pallabdey@hri.res.in, Thangadurai, R.1 thanga@hri.res.in
المصدر: American Mathematical Monthly. Dec2014, Vol. 121 Issue 10, p932-9365. 5p.
مصطلحات موضوعية: *ARITHMETIC series, *QUADRATIC equations, *INTEGRAL equations, *PRIME numbers, *BINARY quadratic forms
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13Periodical
المؤلفون: Baier, Stephan, Dey, Pallab Kanti
المصدر: Research in Number Theory; March 2020, Vol. 6 Issue: 1