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Construction of cusp forms of arbitrary degree by means of theta series. (Konstruktion von Spitzenformen beliebigen Grades mit Hilfe von Thetareihen.) (German) Zbl 0328.10022


MSC:

11F12 Automorphic forms, one variable
11F27 Theta series; Weil representation; theta correspondences
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References:

[1] Andrianov, A.N., Maloletkin, G.N.: Behavior of theta series of degreen under modular substitutions. Math. USSR-Izvestija39, 227-241 (1975); Russian p. nos. 243-258 · Zbl 0326.10025 · doi:10.1070/IM1975v009n02ABEH001474
[2] Andrianov, A.N.: Euler products corresponding to Siegel modular forms of genus 2. Russian Math. Surveys29, 45-116 (1974); russ. Original: Uspekhi Mat. Nauk29, 43-110 (1974) · Zbl 0304.10021 · doi:10.1070/RM1974v029n03ABEH001285
[3] Conway, J.H.: A characterisation of Leech’s lattice. Inv. math.7, 137-142 (1969) · Zbl 0212.07001 · doi:10.1007/BF01389796
[4] Petersson, W.H.H.: Über Thetareihen zu großen Untergruppen der rationalen Modulgruppe. Sitzber. d. Heidelberger Akad. d. Wiss., Math.-naturwiss. Kl., 1972, 1. Abh. · Zbl 0284.10007
[5] Raghavan, S.: Cusp forms of degree 2 and weight 3. Math. Ann.224, 149-156 (1976) · Zbl 0335.10030 · doi:10.1007/BF01436196
[6] Shimura, G.: On modular forms of half integral weight. Ann. Math.97, 440-481 (1973) · Zbl 0266.10022 · doi:10.2307/1970831
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