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Volumn 16, Issue 3, 2005, Pages 249-279

Simple graded rings of siegel modular forms, differential operators and borcherds products

Author keywords

Borcherds product; Differential operator; Siegel modular form

Indexed keywords


EID: 17144426536     PISSN: 0129167X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0129167X05002837     Document Type: Article
Times cited : (86)

References (20)
  • 1
    • 84957155339 scopus 로고
    • Euler products corresponding to Siegel modular forms of genus 2
    • A. N. Andrianov, Euler products corresponding to Siegel modular forms of genus 2, Russian Math. Surv. 29(3) (1974) 45-116; Uuspekhi Math. Nauk 29(3) (1974) 43-110.
    • (1974) Russian Math. Surv. , vol.29 , Issue.3 , pp. 45-116
    • Andrianov, A.N.1
  • 2
    • 84957155339 scopus 로고
    • A. N. Andrianov, Euler products corresponding to Siegel modular forms of genus 2, Russian Math. Surv. 29(3) (1974) 45-116; Uuspekhi Math. Nauk 29(3) (1974) 43-110.
    • (1974) Uuspekhi Math. Nauk , vol.29 , Issue.3 , pp. 43-110
  • 3
    • 0003905004 scopus 로고
    • Springer-Verlag, Berlin, Heidelberg, New York, London, Paris, Tokyo
    • A. N. Andrianov, Quadratic Forms and Hecke Operators (Springer-Verlag, Berlin, Heidelberg, New York, London, Paris, Tokyo, 1987).
    • (1987) Quadratic Forms and Hecke Operators
    • Andrianov, A.N.1
  • 4
    • 0001504299 scopus 로고
    • s+2,2(R) and infinite products
    • s+2,2(R) and infinite products, Invent. Math. 120(1) (1995) 161-213.
    • (1995) Invent. Math. , vol.120 , Issue.1 , pp. 161-213
    • Borcherds, R.E.1
  • 6
    • 0000657974 scopus 로고    scopus 로고
    • Rankin-Cohen operators for Jacobi and Siegel forms
    • Y. J. Choie and W. Eholzer, Rankin-Cohen operators for Jacobi and Siegel forms, J. Number Theory 68(2) (1998) 160-177.
    • (1998) J. Number Theory , vol.68 , Issue.2 , pp. 160-177
    • Choie, Y.J.1    Eholzer, W.2
  • 8
    • 0032104968 scopus 로고    scopus 로고
    • Rankin-Cohen type differential operators for Siegel modular forms
    • W. Eholzer and T. Ibukiyama, Rankin-Cohen type differential operators for Siegel modular forms, Int. J. Math. 9(4) (1998) 443-463.
    • (1998) Int. J. Math. , vol.9 , Issue.4 , pp. 443-463
    • Eholzer, W.1    Ibukiyama, T.2
  • 10
    • 0032014449 scopus 로고    scopus 로고
    • Automorphic forms and Lorentzian Kac-Moody algebras, Part II
    • V. A. Gritsenko and V. V. Nikulin, Automorphic forms and Lorentzian Kac-Moody algebras, Part II, Int. J. Math. 9(2) (1998) 201-275.
    • (1998) Int. J. Math. , vol.9 , Issue.2 , pp. 201-275
    • Gritsenko, V.A.1    Nikulin, V.V.2
  • 11
    • 3142757088 scopus 로고    scopus 로고
    • On the graded ring of Siegel modular forms of degree 2, level 3
    • K. Gunji, On the graded ring of Siegel modular forms of degree 2, level 3, J. Math. Soc. Japan 56(2) (2004) 375-403.
    • (2004) J. Math. Soc. Japan , vol.56 , Issue.2 , pp. 375-403
    • Gunji, K.1
  • 13
    • 0347919016 scopus 로고
    • On Siegel modular varieties of level 3
    • T. Ibukiyama, On Siegel modular varieties of level 3, Int. J. Math. 2(1) (1991) 17-35.
    • (1991) Int. J. Math. , vol.2 , Issue.1 , pp. 17-35
    • Ibukiyama, T.1
  • 14
    • 0010425779 scopus 로고    scopus 로고
    • On differential operators on automorphic forms and invariant pluri-harmonic polynomials
    • T. Ibukiyama, On differential operators on automorphic forms and invariant pluri-harmonic polynomials, Commun. Math. Univ. St. Pauli 48 (1999) 103-118.
    • (1999) Commun. Math. Univ. St. Pauli , vol.48 , pp. 103-118
    • Ibukiyama, T.1
  • 18
    • 0000103686 scopus 로고
    • On Siegel modular forms of genus two
    • J. Igusa, On Siegel modular forms of genus two, Amer. J. Math. 84 (1962) 175-200; II, ibid. 86 (1964) 392-412.
    • (1962) Amer. J. Math. , vol.84 , pp. 175-200
    • Igusa, J.1
  • 19
    • 0001057094 scopus 로고
    • II
    • J. Igusa, On Siegel modular forms of genus two, Amer. J. Math. 84 (1962) 175-200; II, ibid. 86 (1964) 392-412.
    • (1964) Amer. J. Math. , vol.86 , pp. 392-412
  • 20
    • 0001631848 scopus 로고
    • Modular forms and projective invariants
    • J. Igusa, Modular forms and projective invariants, Amer. J. Math. 89 (1967) 817-855.
    • (1967) Amer. J. Math. , vol.89 , pp. 817-855
    • Igusa, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.