Geodesic
On the Fourier coefficients of the modular forms (Remarks on the article “A generalization of Kloosterman sums and their estimates”)
Zapiski Nauchnykh Seminarov POMI, Studies in number theory, Tome 1 (1966), pp. 140-163 Cet article a éte moissonné depuis la source Math-Net.Ru

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     author = {A. V. Malyshev},
     title = {On the {Fourier} coefficients of the modular forms {(Remarks} on the article {{\textquotedblleft}A~generalization} of {Kloosterman} sums and their estimates{\textquotedblright})},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {140--163},
     year = {1966},
     volume = {1},
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     url = {http://geodesic.mathdoc.fr/item/ZNSL_1966_1_a6/}
}
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A. V. Malyshev. On the Fourier coefficients of the modular forms (Remarks on the article “A generalization of Kloosterman sums and their estimates”). Zapiski Nauchnykh Seminarov POMI, Studies in number theory, Tome 1 (1966), pp. 140-163. http://geodesic.mathdoc.fr/item/ZNSL_1966_1_a6/

[1] Malyshev A. V., “O predstavlenii tselykh chisel polozhitelnymi kvadratichnymi formami”, Tr. Matem. inst. AN SSSR, 65, 1962, 1–212 | MR | Zbl

[2] Eichler M., Quadratische Formen und orthogonale Gruppen, Berlin, 1952, 220 | MR

[3] Eichler M., “Quaternäre quadratische Formen und die Riemanaschen Vermutung für die Kongruenzzetafunktion”, Arch. der math. W, 5 (1954), 355–366 | DOI | MR | Zbl

[4] Eichler M., “Quadratische Formen und Modulfunktionen”, Acta Arithm., 4 (1958), 217–239 | MR | Zbl

[5] Estermann T., “Vereinfachter Beweis eines Satzes von Kloosterman”, Abh. Math. Seminar Hamburg. Univ., 7 (1929), 82–98 | DOI | Zbl

[6] Estermann T., “On Kloosterman's sum”, Mathematika, 2 (1961), 83–86 | MR

[7] Gunning R. G., Lectures on modular forms, Princeton, 1962, 1–86 | MR

[8] Hecke E., “Zur Theorie der elliptischen Modul functionen”, Math. Arm., 9 (1926), 210–242; Math. Werke, 1959, 428–460 | MR

[9] Hecke E., “Theorie der Eisensteinschen Reihen Höherer Stufe und ihre Anwendung auf Funktionentheorie und Arithmetik”, Abh. Math. Seminar Hamburg. Univ., 5 (1927), 199–224 | DOI | Zbl

[10] Hecke E., “Analytische Arithmetik der positiven quadratischen Formen”, Kgl. Danske Vidensk Selskeb, math.-fys. Medd., 13:12 (1940), 1–134 ; Math. Werke, 1959, 789–918 | MR | MR

[11] Kloostermann H. D., “Asymptotisehe Formeln für die Fourierkoeffizienten ganzen Modulformen”, Abh. Math. Seminar Hamburg. Univ., 5 (1927), 337–352 | DOI

[12] Salie H., “Zur Abschätzung der Fourierkoeffizienten ganzer Modulformen”, Math. Z., 36 (1932), 263–278 | DOI | MR | Zbl