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The Construction of Automorphic Forms From the Derivatives of a Given Form II

Published online by Cambridge University Press:  20 November 2018

R. A. Rankin
R. A. Rankin*
Affiliation:
Department Of Mathematics, University Of GlasgowGlasgow G12 8QW, Scotland
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Abstract

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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.

Keywords

10D0510D1210D15
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 28 , Issue 3 , 01 September 1985 , pp. 306 - 316
Copyright
Copyright © Canadian Mathematical Society 1985

References

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. 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. Rankin, R.A., A family ofnewforms, Ann. Acad. Sci. Fenn., Ses. AI. Math. 10 (1985), pp. 93–99.Google Scholar
4. Resnikoff, H.L., On differential operators and automorphic forms, Trans. Amer. Math. Soc. 124 (1966), pp. 334–346.Google Scholar
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