Hiroshima Mathematical Journal

Congruences between binomial coefficients $\binom {2f}f$ and Fourier coefficients of certain $\eta$-products

Tsuneo Ishikawa

Full-text: Open access

Article information

Source
Hiroshima Math. J., Volume 22, Number 3 (1992), 583-590.

Dates
First available in Project Euclid: 21 March 2008

Permanent link to this document
https://projecteuclid.org/euclid.hmj/1206128505

Digital Object Identifier
doi:10.32917/hmj/1206128505

Mathematical Reviews number (MathSciNet)
MR1194053

Zentralblatt MATH identifier
0811.11028

Subjects
Primary: 11F20: Dedekind eta function, Dedekind sums
Secondary: 11B65: Binomial coefficients; factorials; $q$-identities [See also 05A10, 05A30] 11F30: Fourier coefficients of automorphic forms

Citation

Ishikawa, Tsuneo. Congruences between binomial coefficients $\binom {2f}f$ and Fourier coefficients of certain $\eta$-products. Hiroshima Math. J. 22 (1992), no. 3, 583--590. doi:10.32917/hmj/1206128505. https://projecteuclid.org/euclid.hmj/1206128505


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References

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  • [5] S. Lang, Introduction to modular forms, G.M.W. 222, Springer, 1976.
  • [6] J. Stienstra and F. Beukers, On the Picard-Fuchs equation and the formal Brauer group of certain elliptic K3 surfaces, Math. Ann. 271 (1985), 269-304.