메뉴 건너뛰기




Volumn , Issue 10, 2005, Pages 587-633

Lower-order terms of the 1-level density of families of elliptic curves

Author keywords

[No Author keywords available]

Indexed keywords


EID: 17744396714     PISSN: 10737928     EISSN: None     Source Type: Journal    
DOI: 10.1155/imrn.2005.587     Document Type: Article
Times cited : (29)

References (19)
  • 1
    • 0039302012 scopus 로고    scopus 로고
    • On the modularity of elliptic curves over Q: Wild 3-adic exercises
    • C. Breuil, B. Conrad, F. Diamond, and R. Taylor, On the modularity of elliptic curves over Q: wild 3-adic exercises, J. Amer. Math. Soc. 14 (2001), no. 4, 843-939.
    • (2001) J. Amer. Math. Soc. , vol.14 , Issue.4 , pp. 843-939
    • Breuil, C.1    Conrad, B.2    Diamond, F.3    Taylor, R.4
  • 4
    • 1642282620 scopus 로고    scopus 로고
    • On the frequency of vanishing of quadratic twists of modular L-functions
    • (Urbana, Ill, 2000), A K Peters, Massachusetts
    • J. B. Conrey, J. P. Keating, M. O. Rubinstein, and N. C. Snaith, On the frequency of vanishing of quadratic twists of modular L-functions, Number Theory for the Millennium I (Urbana, Ill, 2000), A K Peters, Massachusetts, 2002, pp. 301-315.
    • (2002) Number Theory for the Millennium I , pp. 301-315
    • Conrey, J.B.1    Keating, J.P.2    Rubinstein, M.O.3    Snaith, N.C.4
  • 5
    • 0037331495 scopus 로고    scopus 로고
    • Low-lying zeros of dihedral L-functions
    • E. Fouvry and H. Iwaniec, Low-lying zeros of dihedral L-functions, Duke Math. J. 116 (2003), no. 2, 189-217.
    • (2003) Duke Math. J. , vol.116 , Issue.2 , pp. 189-217
    • Fouvry, E.1    Iwaniec, H.2
  • 10
    • 0003253039 scopus 로고    scopus 로고
    • Random matrices, frobenius eigenvalues, and monodromy
    • American Mathematical Society, Rhode Island
    • N. M. Katz and P. Sarnak, Random Matrices, Frobenius Eigenvalues, and Monodromy, American Mathematical Society Colloquium Publications, vol. 45, American Mathematical Society, Rhode Island, 1999.
    • (1999) American Mathematical Society Colloquium Publications , vol.45
    • Katz, N.M.1    Sarnak, P.2
  • 11
    • 0033485102 scopus 로고    scopus 로고
    • Zeroes of zeta functions and symmetry
    • _, Zeroes of zeta functions and symmetry, Bull. Amer. Math. Soc. (N.S.) 36 (1999), no. 1, 1-26.
    • (1999) Bull. Amer. Math. Soc. (N.S.) , vol.36 , Issue.1 , pp. 1-26
  • 12
    • 16244399467 scopus 로고    scopus 로고
    • One- and two-level densities for rational families of elliptic curves: Evidence for the underlying group symmetries
    • S. J. Miller, One- and two-level densities for rational families of elliptic curves: evidence for the underlying group symmetries, Compositio Math. 140 (2004), no. 4, 952-992.
    • (2004) Compositio Math. , vol.140 , Issue.4 , pp. 952-992
    • Miller, S.J.1
  • 13
    • 0242385250 scopus 로고    scopus 로고
    • Low-lying zeros of L-functions and random matrix theory
    • M. Rubinstein, Low-lying zeros of L-functions and random matrix theory, Duke Math. J. 109 (2001), no. 1, 147-181.
    • (2001) Duke Math. J. , vol.109 , Issue.1 , pp. 147-181
    • Rubinstein, M.1
  • 15
    • 0003357475 scopus 로고
    • The arithmetic of elliptic curves
    • Springer, New York
    • J. H. Silverman, The Arithmetic of Elliptic Curves, Graduate Texts in Mathematics, vol. 106, Springer, New York, 1986.
    • (1986) Graduate Texts in Mathematics , vol.106
    • Silverman, J.H.1
  • 16
    • 0003530975 scopus 로고
    • Advanced topics in the arithmetic of elliptic curves
    • Springer, New York
    • _, Advanced Topics in the Arithmetic of Elliptic Curves, Graduate Texts in Mathematics, vol. 151, Springer, New York, 1994.
    • (1994) Graduate Texts in Mathematics , vol.151
  • 17
    • 0000674810 scopus 로고
    • Ring-theoretic properties of certain Hecke algebras
    • R. Taylor and A. Wiles, Ring-theoretic properties of certain Hecke algebras, Ann. of Math. (2) 141 (1995), no. 3, 553-572.
    • (1995) Ann. of Math. (2) , vol.141 , Issue.3 , pp. 553-572
    • Taylor, R.1    Wiles, A.2
  • 18
    • 0000603921 scopus 로고
    • Modular elliptic curves and Fermat's last theorem
    • A. Wiles, Modular elliptic curves and Fermat's last theorem, Ann. of Math. (2) 141 (1995), no. 3, 443-551.
    • (1995) Ann. of Math. (2) , vol.141 , Issue.3 , pp. 443-551
    • Wiles, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.