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Volumn 75, Issue 4, 1996, Pages 321-337

A proof of quintic reciprocity using the arithmetic of y2 = x5 + 1/4

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EID: 0030445602     PISSN: 00651036     EISSN: None     Source Type: Journal    
DOI: 10.4064/aa-75-4-321-337     Document Type: Article
Times cited : (10)

References (24)
  • 5
    • 0011359786 scopus 로고
    • Reziprozitätsgesetze in quadratisch-imaginären Körpern
    • Göttingen
    • R. Fueter, Reziprozitätsgesetze in quadratisch-imaginären Körpern, Nachr. Ges. Wiss. Göttingen 1927, 1-11, 427-445.
    • (1927) Nachr. Ges. Wiss. , pp. 1-11
    • Fueter, R.1
  • 6
    • 0003146316 scopus 로고
    • A generalization of a formula of Eisenstein
    • D. Grant, A generalization of a formula of Eisenstein, Proc. London Math. Soc. (3) 62 (1991), 121-132.
    • (1991) Proc. London Math. Soc. , vol.62 , Issue.3 , pp. 121-132
    • Grant, D.1
  • 7
    • 0002922016 scopus 로고
    • Units from 3- and 4-torsion on Jacobians of curves of genus 2
    • -, Units from 3- and 4-torsion on Jacobians of curves of genus 2, Compositio Math. 95 (1994), 311-320.
    • (1994) Compositio Math. , vol.95 , pp. 311-320
  • 9
    • 0002024221 scopus 로고
    • Formal groups in genus two
    • -, Formal groups in genus two, J. Reine Angew. Math. 411 (1990), 96-121.
    • (1990) J. Reine Angew. Math. , vol.411 , pp. 96-121
  • 10
    • 0011279336 scopus 로고
    • Coates-wiles towers in dimension two
    • -, Coates-Wiles towers in dimension two, Math. Ann. 282 (1988), 645-666.
    • (1988) Math. Ann. , vol.282 , pp. 645-666
  • 11
    • 0000722581 scopus 로고
    • On the Jacobian variety of some algebraic curves
    • R. Greenberg, On the Jacobian variety of some algebraic curves, Compositio Math. 42 (1981), 345-359.
    • (1981) Compositio Math. , vol.42 , pp. 345-359
    • Greenberg, R.1
  • 12
    • 0011276941 scopus 로고
    • Jacques Gabay, Sceaux
    • D. Hilbert, Théorie des corps de nombres algébriques, Jacques Gabay, Sceaux, 1991. Translation of: Die Theorie der algebraischen Zahlkörper, Jahresber. Deutsch. Math.-Verein 4 (1897), 175-546.
    • (1991) Théorie des Corps de Nombres Algébriques
    • Hilbert, D.1
  • 13
    • 0000130651 scopus 로고
    • Die theorie der algebraischen zahlkörper
    • D. Hilbert, Théorie des corps de nombres algébriques, Jacques Gabay, Sceaux, 1991. Translation of: Die Theorie der algebraischen Zahlkörper, Jahresber. Deutsch. Math.-Verein 4 (1897), 175-546.
    • (1897) Jahresber. Deutsch. Math.-Verein , vol.4 , pp. 175-546
  • 14
    • 0003211387 scopus 로고
    • A classical introduction to modern number theory
    • Springer
    • K. Ireland and M. Rosen, A Classical Introduction to Modern Number Theory, Grad. Texts in Math. 84, Springer, 1982.
    • (1982) Grad. Texts in Math. , vol.84
    • Ireland, K.1    Rosen, M.2
  • 15
    • 0000729040 scopus 로고
    • A note on Jacobi sums
    • K. Iwasawa, A note on Jacobi sums, Sympos. Math. 15 (1975), 447-459.
    • (1975) Sympos. Math. , vol.15 , pp. 447-459
    • Iwasawa, K.1
  • 16
    • 0002040638 scopus 로고
    • Reciprocities in Gauss' and Eisenstein's number fields
    • T. Kubota, Reciprocities in Gauss' and Eisenstein's number fields, J. Reine Angew. Math. 208 (1961), 35-50.
    • (1961) J. Reine Angew. Math. , vol.208 , pp. 35-50
    • Kubota, T.1
  • 17
    • 0011274386 scopus 로고
    • An application of the power residue theory to some abelian functions
    • T. Kubota, An application of the power residue theory to some abelian functions, Nagoya Math. J. 27 (1966), 51-54.
    • (1966) Nagoya Math. J. , vol.27 , pp. 51-54
    • Kubota, T.1
  • 19
    • 0002627221 scopus 로고
    • Abelian varieties
    • G. Cornell and J. Silverman (eds.), Springer, New York
    • J. Milne, Abelian Varieties, in: G. Cornell and J. Silverman (eds.), Arithmetic Geometry, Springer, New York, 1986, 103-150.
    • (1986) Arithmetic Geometry , pp. 103-150
    • Milne, J.1
  • 21
    • 0011315569 scopus 로고
    • La cyclotomie jadis et naguère
    • A. Weil, La cyclotomie jadis et naguère, Enseign. Math. 20 (1974), 247-263.
    • (1974) Enseign. Math. , vol.20 , pp. 247-263
    • Weil, A.1
  • 22
    • 0011277231 scopus 로고
    • Review of "mathematische werke, by Gotthold Eisenstein,"
    • -, Review of "Mathematische Werke, by Gotthold Eisenstein," Bull. Amer. Math. Soc. 82 (1976), 658-663.
    • (1976) Bull. Amer. Math. Soc. , vol.82 , pp. 658-663
  • 23
    • 0011315570 scopus 로고
    • Springer, New York
    • -, Introduction to: E. E. Kummer, Collected Papers, Vol. 1, Springer, New York, 1975, 1-11.
    • (1975) Collected Papers , vol.1 , pp. 1-11
    • Kummer, E.E.1
  • 24
    • 33746414223 scopus 로고
    • Jacobi sums as Grössencharaktere
    • -, Jacobi sums as Grössencharaktere, Trans. Amer. Math. Soc. 73 (1952), 487-495.
    • (1952) Trans. Amer. Math. Soc. , vol.73 , pp. 487-495


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.