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- 件名McKay-Thompson series Monster Moonshine Hauptmodu......plicable function Faber polynomial locating zeros
- 関連情報Kyushu Journal of Mathematics || 62(1) || p15-61 http://www2.math.kyush...
デジタル記事
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- 要約等For any McKay-Thompson series which appear in Moonshine, the Hecke-type Faber polynomial <I>......</I>(<I>X</I>) of degree <I>n</I> is defined. The Hecke-type Faber polynomials are of course special cases of the Faber polynomials introduced by Faber a century ago.......We first study the locations of the zeros of the Hecke-type Faber polynomials of the 171 monstrous types, a...... well as those of the 157 non-monstrous types. W......ng a computer, the zeros for all <I>n</I> ≤ 50. These results sugg......ny (about 13%) of the cases, we can ......xpect that all of the zeros of <I>P<SUB>n</SU......igorously that the zeros of the Hecke-type Faber...
- 件名McKay-Thompson series Monster Moonshine Hauptmodu......plicable function Faber polynomial locating zeros.
- 参照On a class of non-linear functional equations connected with modular functions More on replicable functions �ber polynomi......Entwickelungen The Atkin inner pr......$\Gamma_0(N)$ Monstrous Moonshine Completel......plicahle functions A Course in Arithmetic On zeros of Eisenstein ser......chsian groups Monstrous moonshine and monstrous Lie supe......ular forms and the automorphism group of Leech lattice ......rology between the Fischer-Griess Monster and the Elliptic Modular Function On the Zeros of Eisenstein Series The<i>q</i>—-series of monstrous moonshine & the decomposition of the head characters Hecke Polynomials as Congruence ζ Functions in ...
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