On Fourier coefficients and certain “Periods” of modular forms
Shinji Niwa
Source: Proc. Japan Acad. Ser. A Math. Sci. Volume 58, Number 2
(1982), 90-92.
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Permanent link to this document: http://projecteuclid.org/euclid.pja/1195516152
Mathematical Reviews number (MathSciNet): MR651299
Zentralblatt MATH identifier: 0524.10018
Digital Object Identifier: doi:10.3792/pjaa.58.90
References
[1] G. Shimura: On the trace formula for Hecke operators. Acta Math., 132, 245-281 (1974).
Mathematical Reviews (MathSciNet): MR562508
Zentralblatt MATH: 0285.10018
Digital Object Identifier: doi:10.1007/BF02392117
[2] G. Shimura: On modular forms of half integral weight. Ann. of Math., 97, 440- 481 (1973).
Mathematical Reviews (MathSciNet): MR332663
Zentralblatt MATH: 0266.10022
Digital Object Identifier: doi:10.2307/1970831
JSTOR: links.jstor.org
[3] T. Shintani: On construction of holomorphic cusp forms of half integral weight. Nagoya Math. J., 58, 83-126 (1975).
Mathematical Reviews (MathSciNet): MR389772
Zentralblatt MATH: 0316.10016
Project Euclid: euclid.nmj/1118795445
[4] W. Kohnen and D. Zagier: Values of L-series of modular forms in the middle of the critica (preprint).
Zentralblatt MATH: 0468.10015
[5] S. Niwa: On Shimura's trace formula. Nagoya Math. J., 66, 183-202 (1977).
Mathematical Reviews (MathSciNet): MR562506
Zentralblatt MATH: 0351.10018
Project Euclid: euclid.nmj/1118796403
[6] S. Niwa: Modular forms of half integral weight and the integral of certain theta-funetions. ibid., 56, 147-161 (1974).
Mathematical Reviews (MathSciNet): MR364106
Zentralblatt MATH: 0303.10027
Project Euclid: euclid.nmj/1118795278
[7] J. L. Waldspurger: Correspondance de Shimura. J. Math. Pures et Appl., 59, 1-133 (1980).
Mathematical Reviews (MathSciNet): MR577010
Zentralblatt MATH: 0412.10019
[8] M. F. Vigneras: Valeur au centre de symetrie des fonctions L associees aux formes modulaires. Seminaire Delange-Pisot-Poitou, pp. 331-356 (1980).
Zentralblatt MATH: 0453.10024
[9] J. L. Waldspurger: Sur les coefficients de Fourier des formes modulaires de poids semi-entiers. J. Math. Pures et Appl., 60 (1981).
Mathematical Reviews (MathSciNet): MR646366
Zentralblatt MATH: 0431.10015
Proceedings of the Japan Academy, Series A, Mathematical Sciences
