Hostname: page-component-78c5997874-ndw9j Total loading time: 0 Render date: 2024-11-05T09:50:13.885Z Has data issue: false hasContentIssue false

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*
Affiliation:
Department Of Mathematics, University Of GlasgowGlasgow G12 8QW, Scotland
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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

Type
Research Article
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. 271285.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. 103116.Google Scholar
3. Rankin, R.A., A family ofnewforms, Ann. Acad. Sci. Fenn., Ses. AI. Math. 10 (1985), pp. 9399.Google Scholar
4. Resnikoff, H.L., On differential operators and automorphic forms, Trans. Amer. Math. Soc. 124 (1966), pp. 334346.Google Scholar
5. Resnikoff, H.L., Automorphic forms and automorphic preserving differential operators on products ofhalfplanes, Abh. Math. Sem. Univ. Hamburg, 38 (1972), pp. 168198.Google Scholar