On an advise of Yu.\,V.~Linnik, Hecke operators, and theta functions
Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 13, Tome 226 (1996), pp. 5-13

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This is a historical survey of the Hecke operators and their action on the theta functions and the theta series of integral quadratic forms. Bibl. 33 titles.
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A. N. Andrianov. On an advise of Yu.\,V.~Linnik, Hecke operators, and theta functions. Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 13, Tome 226 (1996), pp. 5-13. http://geodesic.mathdoc.fr/item/ZNSL_1996_226_a0/