[1] A. O. L. Atkin and J. Lehner, Hecke operators on Г0(m), Math. Ann. 185 (1970), 134-160.
Google Scholar

[2] R. E. Borcherds, Monstrous moonshine and monstrous Lie superalgebras, Invent. Math. 109 (1992), 405–444.
Google Scholar

[3] D. Choi amd Y. Choie, p -adic limit of the Fourier coefficients of weakly holomorphic modular forms of half integral weight, Israel J.
Math. 175 (2010), 61–83.
Google Scholar

[4] D. Choi amd Y. Choie, Weight-dependent congruence properties of modular forms, J. Number Theory 122 (2007), no. 2, 301–313.
Web of ScienceGoogle Scholar

[5] D. Choi amd Y. Choie, Linear relations among the Fourier coefficients of modular forms on groups Г0(N) of genus zero and their
applications, J. Math. Anal. Appl. 326 (2007), no. 1, 655–666.
Web of ScienceGoogle Scholar

[6] S. Choi and C. H. Kim, Congruences for Hecke eigenvalues in higher level cases, J. Number Theory 131 (2011), no. 11, 2023–
2036.
Web of ScienceGoogle Scholar

[7] S. Choi and C. H. Kim, Basis for the space of weakly holomorphic modular forms in higher level cases, J. Number Theory 133
(2013), no. 4, 1300–1311.
Web of ScienceGoogle Scholar

[8] Y. Choie, W. Kohnen and K Ono, Linear relations between modular form coefficients and non-ordinary primes, Bull. London Math.
Soc. 37 (2005), no. 3, 335–341.
Google Scholar

[9] J. H. Conway and S. P. Norton, Monstrous Moonshine, Bull. London Math. Soc. 11 (1979), 308–339.
Google Scholar

[10] W. Duke and P. Jenkins, On the zeros and coefficients of certain weakly holomorphic modular forms, Pure Appl. Math. Q. 4
(2008), 1327–1340.
Google Scholar

[11] P. Guerzhoy, Hecke operators for weakly holomorphic modular forms and supersingular congruences, Proc. Amer. Math. Soc.
136 (2008), 3051-3059.
Web of ScienceGoogle Scholar

[12] K. Harada, Moonshine of finite groups, The Ohio State University Lecture Notes.
Google Scholar

[13] N. Koblitz, Introduction to elliptic curves and modular forms, Springer-Verlag, New York, 1984.
Google Scholar

[14] M. Koike, On replication formula and Hecke operators, Nogoya University, preprint.
Google Scholar

[15] A. Krieg, Modular forms on the Fricke group, Abh. Math. Sem. Univ. Hamburg 65 (1995), 293-299.
Google Scholar

[16] S. Lang, Introduction to modular forms, Grundlehren der mathematischen Wissenschaften, No. 222. Springer-Verlag, Berlin-New
York, 1976.
Google Scholar

[17] J. Lewis and D. Zagier, Periodic functions for Maass wave forms I, Ann. of Math. (2) 153 (2001), 191-258.
Google Scholar

[18] T. Miyake, Modular forms, Springer, 1989.
Google Scholar

[19] K. Ono, The web of modularity: Arithmetic of the coefficients of modular forms and q-series, volume 102 of CBMS regional
conference series in mathematics. American Mathematical Society, 2004.
Google Scholar

[20] J. Shigezumi, On the zeros of the Eisenstein series for Г0(5) and Г0(7), Kyushu J. Math. 61 (2007), no. 2, 527-549.
Google Scholar

[21] G. Shimura, Introduction to the arithmetic theory of automorphic forms, Princeton University Press, 1971.
Google Scholar

[22] W. Stein, http://wstein.org.
Google Scholar

[23] D. Zagier, Introduction to modular forms, From number theory to physics (Les Houches, 1989), 238-291, Springer, 1992.
Google Scholar

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