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Search: id:A091401
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| A091401 |
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Numbers n such that genus of group Gamma_0(n) is zero. |
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+0
5
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| 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 16, 18, 25
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Equivalently, numbers n such that genus of modular curve X_0(n) is zero.
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REFERENCES
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K. Ono, The Web of Modularity: Arithmetic of the Coefficients of Modular Forms and q-Series, CBMS Regional Conference Series in Mathematics, vol. 102, American Mathematical Society, Providence, RI, 2004. See p. 110.
B. Schoeneberg, Elliptic Modular Functions, Springer-Verlag, NY, 1974, p. 103.
G. Shimura, Introduction to the Arithmetic Theory of Automorphic Functions, Princeton, 1971, see Prop. 1.40 and 1.43.
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FORMULA
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Numbers n such that A001617(n) = 0.
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CROSSREFS
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Cf. A001617, A001615, A000089, A000086, A001616, A091403.
Sequence in context: A000926 A011875 A053433 this_sequence A091402 A064817 A108549
Adjacent sequences: A091398 A091399 A091400 this_sequence A091402 A091403 A091404
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KEYWORD
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nonn,fini,full
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Mar 02 2004
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