On differential operators and automorphic forms
HTML articles powered by AMS MathViewer
- by H. L. Resnikoff
- Trans. Amer. Math. Soc. 124 (1966), 334-346
- DOI: https://doi.org/10.1090/S0002-9947-1966-0204651-3
- PDF | Request permission
References
- G. Bol, Invarianten linearer differentialgleichungen, Abh. Math. Sem. Univ. Hamburg 16 (1949), no. nos. 3-4, 1–28 (German). MR 33411, DOI 10.1007/BF03343515
- Hans Petersson, Konstruktion der Modulformen und der zu gewissen Grenzkreisgruppen gehörigen automorphen Formen von positiver reeller Dimension und die vollständige Bestimmung ihrer Fourierkoeffizienten, S.-B. Heidelberger Akad. Wiss. Math.-Nat. Kl. 1950 (1950), 417–494 (German). MR 0041172
- R. A. Rankin, The construction of automorphic forms from the derivatives of a given form, J. Indian Math. Soc. (N.S.) 20 (1956), 103–116. MR 82563
- R. A. Rankin, The construction of automorphic forms from the derivatives of given forms, Michigan Math. J. 4 (1957), 181–186. MR 92870
- Marcel Riesz, L’intégrale de Riemann-Liouville et le problème de Cauchy, Acta Math. 81 (1949), 1–223 (French). MR 30102, DOI 10.1007/BF02395016
- H. L. Resnikoff, A differential equation for the theta function, Proc. Nat. Acad. Sci. U.S.A. 53 (1965), 692–693. MR 174529, DOI 10.1073/pnas.53.3.692
- Balth. van der Pol, On a non-linear partial differential equation satisfied by the logarithm of the Jacobian theta-functions, with arithmetical applications. I, II, Nederl. Akad. Wetensch. Proc. Ser. A. 54 = Indagationes Math. 13 (1951), 261–271, 272–284. MR 0042599
Bibliographic Information
- © Copyright 1966 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 124 (1966), 334-346
- MSC: Primary 10.20; Secondary 10.22
- DOI: https://doi.org/10.1090/S0002-9947-1966-0204651-3
- MathSciNet review: 0204651