Geodesic
The Construction of Automorphic Forms From the Derivatives of a Given Form II
Canadian mathematical bulletin, Tome 28 (1985) no. 3, pp. 306-316

Voir la notice de l'article provenant de la source Cambridge University Press

Explicit constructions of polynomials of preassigned degree and weight in the derivatives of a given automorphic form are described and studied, supplementing the results of an earlier paper. It turns out that the problem is essentially one concerning symmetric functions rather than automorphic forms.
DOI : 10.4153/CMB-1985-036-6
Mots-clés : 10D05, 10D12, 10D15 
Rankin, R. A. The Construction of Automorphic Forms From the Derivatives of a Given Form II. Canadian mathematical bulletin, Tome 28 (1985) no. 3, pp. 306-316. doi: 10.4153/CMB-1985-036-6
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[1] 1. Cohen, H., Sums involving the values at negative integers of L-functions of quadratic characters, Math. Ann. 217 (1975), pp. 271–285. Google Scholar

[2] 2. Rankin, R.A., The construction of automorphie forms from the derivatives of a given form, J. Indian Math. Soc. 20 (1956), pp. 103–116. Google Scholar

[3] 3. Rankin, R.A., A family ofnewforms, Ann. Acad. Sci. Fenn., Ses. AI. Math. 10 (1985), pp. 93–99. Google Scholar

[4] 4. Resnikoff, H.L., On differential operators and automorphic forms, Trans. Amer. Math. Soc. 124 (1966), pp. 334–346. Google Scholar

[5] 5. Resnikoff, H.L., Automorphic forms and automorphic preserving differential operators on products ofhalfplanes, Abh. Math. Sem. Univ. Hamburg, 38 (1972), pp. 168–198. Google Scholar

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