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Congruences for the coefficients of modular forms and for the coefficients of $ j(\tau )$


Author: Morris Newman
Journal: Proc. Amer. Math. Soc. 9 (1958), 609-612
MSC: Primary 10.00
DOI: https://doi.org/10.1090/S0002-9939-1958-0098729-6
MathSciNet review: 0098729
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  • [1] D. H. Lehmer, Properties of the coefficients of the modular invariant $ J(\tau )$, Amer. J. Math. vol. 64 (1942) pp. 488-502. MR 0006210 (3:272c)
  • [2] J. Lehner, Divisibility properties of the Fourier coefficients of the modular invariant $ J(\tau )$, Amer. J. Math. vol. 71 (1949) pp. 136-148. MR 0027801 (10:357a)
  • [3] -, Further congruence properties of the Fourier coefficients of the modular invariant $ J(\tau )$, Amer. J. Math. vol. 71 (1949) pp. 373-386. MR 0027802 (10:357b)
  • [4] A. van Wijngaarden, On the coefficients of the modular invariant $ J(\tau )$, Proc. Kon. Nederl. Akad. Wetensch. Ser. A vol. 16 (1953) pp. 389-400. MR 0058637 (15:403a)
  • [5] M. Newman, Remarks on some modular identities, Trans. Amer. Math. Soc. vol. 73 (1952) pp. 313-320. MR 0049934 (14:250a)
  • [6] -, An identity for the coefficients of certain modular forms, J. London Math. Soc. vol. 30 (1955) pp. 488-493. MR 0070658 (17:15d)
  • [7] -, The coefficients of certain infinite products, Proc. Amer. Math. Soc. vol. 4 (1953) pp. 435-439. MR 0054633 (14:951b)

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DOI: https://doi.org/10.1090/S0002-9939-1958-0098729-6
Article copyright: © Copyright 1958 American Mathematical Society

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