A remark on congruences for coefficients of Faber polynomials |
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| Authors: | P. Guerzhoy |
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| Affiliation: | (1) Department of Mathematics, University of Hawaii at Manoa, 2565 McCarthy Mall, Keller Hall 501, Honolulu, Hawaii, 96822 |
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| Abstract: | Faber polynomials appear when weight zero Hecke operators act on the modular j-invariant. They are polynomials in j with rational integral coefficents. Using the theory of p-adic modular forms we establish some congruences and divisibilities for these coefficients. 2000 Mathematics Subject Classification Primary—11F33 Supported by NSF grant DMS-0501225. |
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| Keywords: | Faber polynomials p-adic modular forms j-invariant |
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