On construction of Siegel modular forms of degree two

Hisashi KOJIMA

doi:10.2969/jmsj/03430393

Hisashi KOJIMA

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JOURNAL FREE ACCESS

1982 Volume 34 Issue 3 Pages 393-412

DOI https://doi.org/10.2969/jmsj/03430393

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Published: 1982 Received: October 15, 1980 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: October 20, 2006 Reason for correction: - Correction: AFFILIATION Details: Wrong :
1) Department of Mathematics Faculty of Technology Tohoku Gakuin University

Right :
1) Department of Mathematics Faculty of Technology Tôhoku Gakuin University

Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) A. N. Andrianov, Euler products corresponding to Siegel modular forms of genus 2, Russian Math. Surveys, 29 (1974), 45-116.
2) K. Doi and T. Miyake, Automorphic forms and number theory (in Japanese), Kinokuniya Shoten, Tokyo, 1976.
3) H. Kojima, Siegel modular cusp forms of degree two, Tohoku Math. J., 33 (1981), 65-75.
4) H. Maaß, Über eine Spezialschar von Modulformen zweiten Grades, Invent. Math., 52 (1979), 95-104.
5) H. Maaß, Über eine Spezialschar von Modulformen zweiten Grades (III), Invent. Math., 53 (1979), 255-265.
6) S. Matsuda, Dirichlet series corresponding to Siegel modular forms of degree two, level N, Sci. Papers College Gen. Ed. Univ. Tokyo, 28 (1978), 24-49.
7) S. Niwa, Modular forms of half integral weight and the integral of certain theta-functions, Nagoya Math. J., 56 (1974), 147-161.
8) T. Oda, On modular forms associated with indefinite quadratic forms of signature (2, n-2), Math. Ann., 231 (1977), 97-144.
9) S. Rallis and G. Shiffman, On a relation between SL₂ cusp forms and cusp forms on the tube domain associated to orthogonal groups, Trans. Amer. Math. Soc., 263 (1981), 1-58.
10) G. Shimura, On modular forms of half integral weight, Ann, of Math., 97 (1973), 440-481.
11) T. Shintani, On construction of holomorphic cusp forms of half integral weight, Nagoya Math. J., 58 (1975), 83-126.

Right : [1] A. N. Andrianov, Euler products corresponding to Siegel modular forms of genus 2, Russian Math. Surveys, 29 (1974), 45-116.
[2] K. Doi and T. Miyake, Automorphic forms and number theory (in Japanese), Kinokuniya Shoten, Tokyo, 1976.
[3] H. Kojima, Siegel modular cusp forms of degree two, Tôhoku Math. J., 33 (1981), 65-75.
[4] H. Maaß, Über eine Spezialschar von Modulformen zweiten Grades, Invent. Math., 52 (1979), 95-104.
[5] H. Maaß, Über eine Spezialschar von Modulformen zweiten Grades (III), Invent. Math., 53 (1979), 255-265.
[6] S. Matsuda, Dirichlet series corresponding to Siegel modular forms of degree two, level N, Sci. Papers College Gen. Ed. Univ. Tokyo, 28 (1978), 24-49.
[7] S. Niwa, Modular forms of half integral weight and the integral of certain thetafunctions, Nagoya Math. J., 56 (1974), 147-161.
[8] T. Oda, On modular forms associated with indefinite quadratic forms of signature (2, n-2), Math. Ann., 231 (1977), 97-144.
[9] S. Rallis and G. Shiffman, On a relation between SL₂ cusp forms and cusp forms on the tube domain associated to orthogonal groups, Trans. Amer. Math. Soc., 263 (1981), 1-58.
[10] G. Shimura, On modular forms of half integral weight, Ann. of Math., 97 (1973), 440-481.
[11] T. Shintani, On construction of holomorphic cusp forms of half integral weight, Nagoya Math. J., 58 (1975), 83-126.

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