Geodesic
On the Mumford problem
Dalʹnevostočnyj matematičeskij žurnal, Tome 2 (2001) no. 2, pp. 74-80.

Voir la notice de l'article provenant de la source Math-Net.Ru

The concrete class of the cusp forms is given for which any casp form is the polynomial in theta-functions. 
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B. T. Tashpulatov. On the Mumford problem. Dalʹnevostočnyj matematičeskij žurnal, Tome 2 (2001) no. 2, pp. 74-80. http://geodesic.mathdoc.fr/item/DVMG_2001_2_2_a6/

[1] D. Mamford, Lektsii o teta-funktsiyakh, Mir, M., 1998, 448 pp. | MR

[2] O. M. Fomenko, Prilozhenie teorii modulyarnykh form k teorii chisel, Itogi nauki i tekhniki. Algebra. Topologiya. Geometriya, 15, M., 1977, 90 pp.

[3] E. Hecke, Analytishe Arithmetik der Positiven quadratischen formen, Kobenhaven, 1940 | MR

[4] R. A. Rankin, “Sums of squares and cusp forms”, Amer. Journal Math., 87:4 (1965), 857–860 | DOI | MR | Zbl

[5] L. A. Kogan, B. T. Tashpulatov, A. D. Dusumbetov, Predstavlenie chisel kvadratichnymi formami, Fan, Tashkent, 1989, 132 pp. | Zbl

[6] A. Z. Valfish, “O predstavlenii chisel summami kvadratov. Asimptoticheskie formuly”, Uspekhi matematicheskikh nauk, 7 (1952), 97–178

[7] R. I. Beridze, “O summirovanii singulyarnogo ryada Khardi-Littlvuda”, Soobsch. AN Gruz. SSR, 38 (1965), 529–534 | MR | Zbl

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