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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

On differential operators and automorphic forms
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by H. L. Resnikoff PDF
Trans. Amer. Math. Soc. 124 (1966), 334-346 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
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Additional 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