Abstract
Let X35 be the Siegel cusp form of degree two and weight 35. In [CitationNagaoka et al. 14], the authors proved that for every half-integral symmetric matrix T, where a(X35; T) is the Tth Fourier coefficient of X35. In this paper, we prove that there exist higher-weight examples of this type of congruence.
ACKNOWLEDGMENTS
The author would like to express his gratitude to Professor S. Böcherer, T. Kikuta, H. Kodama, and Professor S. Nagaoka for useful discussions. The author would like to express his gratitude to Professor T. Ikeda for his helpful advice and encouragement.
Notes
1The source code for this package can be found at https://github.com/stakemori/degree2.