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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.

 

Construction of automorphic forms on $H$-groups and supplementary Fourier series
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by Marvin Isadore Knopp PDF
Trans. Amer. Math. Soc. 103 (1962), 168-188 Request permission
References
  • Marvin Isadore Knopp, Automorphic forms of nonnegative dimension and exponential sums, Michigan Math. J. 7 (1960), 257–287. MR 122805
  • Marvin Isadore Knopp, Construction of a class of modular functions and forms, Pacific J. Math. 11 (1961), 275–293. MR 122994, DOI 10.2140/pjm.1961.11.275
  • Marvin Isadore Knopp, Fourier series of automorphic forms of non-negative dimension, Illinois J. Math. 5 (1961), 18–42. MR 122804
  • Marvin Isadore Knopp and Joseph Lehner, On complementary automorphic forms and supplementary Fourier series, Illinois J. Math. 6 (1962), 98–106; correction, 713. MR 139737
  • Joseph Lehner, The Fourier coefficients of automorphic forms belonging to a class of horocyclic groups, Michigan Math. J. 4 (1957), 265–279. MR 106279
  • Joseph Lehner, The Fourier coefficients of automorphic forms on horocyclic groups. II, Michigan Math. J. 6 (1959), 173–193. MR 106280
  • R. Lipschitz, Untersuchung der Eigenschaften einer Gattung von unendlichen Reihen, J. Reine Angew. Math. 105 (1889), 127-156. H. Rademacher, A convergent series for the partition function, Proc. Nat. Acad. Sci. U.S.A. 23 (1937), 78-84.,
  • Hans Rademacher, The Fourier Series and the Functional Equation of the Absolute Modular Invariant J($\tau$), Amer. J. Math. 61 (1939), no. 1, 237–248. MR 1507375, DOI 10.2307/2371403
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Additional Information
  • © Copyright 1962 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 103 (1962), 168-188
  • MSC: Primary 10.22; Secondary 30.00
  • DOI: https://doi.org/10.1090/S0002-9947-1962-0136735-9
  • MathSciNet review: 0136735