Construction of automorphic forms on $H$-groups and supplementary Fourier series
HTML articles powered by AMS MathViewer
- by Marvin Isadore Knopp
- Trans. Amer. Math. Soc. 103 (1962), 168-188
- DOI: https://doi.org/10.1090/S0002-9947-1962-0136735-9
- PDF | 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
Bibliographic 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