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THE WONDER OF PRIME NUMBER 23: RELATIONSHIP WITH THE FOURIER COEFFICIENTS OF MODULAR FORMS
Keywords:
Eisenstein series, Siegel modular forms, Theta seriesDOI:
https://doi.org/10.17654/0972087123008Abstract
The theory of modular forms plays a significant role in number theory. In this note, we introduce the frequent occurrence of prime number 23 in the Fourier coefficients of various types of modular forms.
Received: February 23, 2023
Accepted: March 23, 2023
References
J. H. Conway and N. J. A. Sloane, Sphere Packings, Lattices and Groups, 3rd ed., Springer, 1999.
J.-I. Igusa, Modular forms and projective invariants, Amer. J. Math. 89 (1967), 817-855.
J.-I. Igusa, On the ring of modular forms of degree two over Z, Amer. J. Math. 101 (1979), 149-183.
T. Kikuta, H. Kodama and S. Nagaoka, Note on Igusa’s cusp form of weight 35, Rocky Mountain J. Math. 45 (2015), 963-972.
J. R. Wilton, Congruence properties of Ramanujan’s function Proc. London Math. Soc. 31 (1930), 1-20.
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