메뉴 건너뛰기




Volumn 8, Issue 4, 1999, Pages 311-318

Rational points on (Formula presented)

Author keywords

Heegner points; Modular curves; Q curves

Indexed keywords


EID: 0033236958     PISSN: 10586458     EISSN: 1944950X     Source Type: Journal    
DOI: 10.1080/10586458.1999.10504621     Document Type: Article
Times cited : (23)

References (23)
  • 2
    • 84910292006 scopus 로고
    • Diophantine analysis and modular functions
    • (Bombay, 1968), Tata Inst, Fund. Res. Stud. math. 4, Oxford Univ. Press, London
    • B. J. Birch, "Diophantine analysis and modular functions", pp. 35-42 in Algebraic Geometry (Bombay, 1968), Tata Inst, Fund. Res. Stud. math. 4, Oxford Univ. Press, London, 1969.
    • (1969) Algebraic Geometry , pp. 35-42
    • Birch, B.J.1
  • 5
    • 0001963070 scopus 로고    scopus 로고
    • Elliptic and modular curves over finite fields and related computational issues
    • (Chicago, 1995), edited by D. A. Buell and J. T. Teitelbaum, AMSjlP Stud. Adv. Math. 7, Amer. Math. Soc., Providence, RI
    • N. D. Elkies, "Elliptic and modular curves over finite fields and related computational issues", pp. 21-76 in Computational perspectives on number theory (Chicago, 1995), edited by D. A. Buell and J. T. Teitelbaum, AMSjlP Stud. Adv. Math. 7, Amer. Math. Soc., Providence, RI, 1998.
    • (1998) Computational Perspectives on Number Theory , pp. 21-76
    • Elkies, N.D.1
  • 8
    • 0009174850 scopus 로고
    • 0(N)
    • (Durham, 1983), edited by R. A. Rankin, Horwood, Chichester
    • 0(N)", pp. 87-105 in Modular forms (Durham, 1983), edited by R. A. Rankin, Horwood, Chichester, 1984.
    • (1984) Modular Forms , pp. 87-105
    • Gross, B.H.1
  • 12
    • 0030446476 scopus 로고    scopus 로고
    • Hyperelliptic modular curves (Formula presented) with square-free levels
    • Y. Hasegawa and K.I. Hashimoto, "Hyperelliptic modular curves (formula presented) with square-free levels", Acta Arith. 77, 2 (1996), 179-193.
    • (1996) Acta Arith , vol.77 , Issue.2 , pp. 179-193
    • Hasegawa, Y.1    Hashimoto, K.I.2
  • 14
    • 0004249446 scopus 로고
    • 2nd ed., AddisonWesley, Reading, MA
    • S. Lang, Elliptic functions, 2nd ed., AddisonWesley, Reading, MA, 1987.
    • (1987) Elliptic Functions
    • Lang, S.1
  • 15
    • 51649164688 scopus 로고
    • Modular curves and the Eisenstein ideal
    • B. Mazur, "Modular curves and the Eisenstein ideal", Inst. Hautes Etudes Sci. Publ. Math. 47 (1977), 33-186.
    • (1977) Inst. Hautes Etudes Sci. Publ. Math , vol.47 , pp. 33-186
    • Mazur, B.1
  • 16
    • 0001352639 scopus 로고
    • split(p)
    • split(p)", Compositio Math. 52, 1 (1984), 115-137.
    • (1984) Compositio Math , vol.52 , Issue.1 , pp. 115-137
    • Momose, F.1
  • 17
    • 0001300645 scopus 로고
    • Rational points on the modular curves (Formula presented)
    • F. Momose, "Rational points on the modular curves (formula presented)", J. Fac. Sci. Univ. Tokyo Sect. 1A Math. 33, 3 (1986), 441-466.
    • (1986) J. Fac. Sci. Univ. Tokyo Sect. 1A Math , vol.33 , Issue.3 , pp. 441-466
    • Momose, F.1
  • 18
    • 84972567964 scopus 로고
    • Rat ional points on th e modular curves (Formula presented)
    • F. Momose, "Rat ional points on th e modular curves (formula presented)", J. Math. Soc. Japan 39, 2 (1987), 269-286.
    • (1987) J. Math. Soc. Japan , vol.39 , Issue.2 , pp. 269-286
    • Momose, F.1
  • 19
    • 84972550542 scopus 로고
    • On normal forms of modular curves of genus 2
    • N. Murabayashi, "On normal forms of modular curves of genus 2", Osaka J. Math. 29, 2 (1992), 405-418.
    • (1992) Osaka J. Math , vol.29 , Issue.2 , pp. 405-418
    • Murabayashi, N.1
  • 20
    • 0000508211 scopus 로고
    • Rat ional points on certain elliptic modular curves
    • (St. Louis, MO, 1972), edited by H. G. Diamond, Proc. Sympos. Pure Math. 24, Amer. Math. Soc., Providence
    • A. P. Ogg, "Rat ional points on certain elliptic modular curves", pp. 221-231 in Analytic number theory (St. Louis, MO, 1972), edited by H. G. Diamond, Proc. Sympos. Pure Math. 24, Amer. Math. Soc., Providence, 1973.
    • (1973) Analytic Number Theory , pp. 221-231
    • Ogg, A.P.1
  • 21
    • 0004033695 scopus 로고
    • Introduction to the arithmetic theory of automorphic functions
    • Princeton Univ. Press, Princeton, and Iwanami Shoten, Tokyo
    • G. Shimura, Introduction to the arithmetic theory of automorphic functions, Publ. Math. Soc. Japan, Princeton Univ. Press, Princeton, and Iwanami Shoten, Tokyo, 1971.
    • (1971) Publ. Math. Soc. Japan
    • Shimura, G.1
  • 22
    • 84972505240 scopus 로고
    • 0(N)
    • 0(N)", Tokyo J. Math. 18, 2 (1995), 443-456.
    • (1995) Tokyo J. Math , vol.18 , Issue.2 , pp. 443-456
    • Shimura, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.