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F. C.'s user avatar
F. C.
  • Member for 14 years, 1 month
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Dimension of the cartesian product of a poset and a chain
Please explain what you mean by "dimension".
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About the sum of rectangular power sums
But $D_n$ is not divisible by n. And I cannot see how Def 4.2 could specialise to $D_n$.
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About the sum of rectangular power sums
Thanks. But Def. 4.2 does not seem to include the case here, and has a division by $n$.
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$\DeclareMathOperator\sym{sym}$Does $L(s, \sym^2 f \times \sym^2 g)$ have a pole at $s=1$?
Hello. Note that some ladies here may possibly not appreciate to be named by "guys".
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Factorisation of a polynomial from the Boolean algebra
For n=12, one gets $(x - 2)^{132} \cdot (x + 1)^{682} \cdot (x - 1)^{814} \cdot (x^{2} + 79 x + 2)^{11} \cdot (x^{2} + 25 x + 2)^{54} \cdot (x^{2} + 7 x + 2)^{154} \cdot (x^{2} - 11 x + 2)^{275} \cdot (x^{2} - 5 x + 2)^{297} \cdot (x^{4} + 220 x^{3} - 3041 x^{2} + 440 x + 4) \cdot (x^{4} - 100 x^{3} - 9601 x^{2} - 200 x + 4)^{11} \cdot (x^{4} - 44 x^{3} - 1313 x^{2} - 88 x + 4)^{54} \cdot (x^{4} - 20 x^{3} - 161 x^{2} - 40 x + 4)^{154} \cdot (x^{6} - 247 x^{5} - 63659 x^{4} + 797003 x^{3} - 127318 x^{2} - 988 x + 8)$.
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Factorisation of a polynomial from the Boolean algebra
For n=10, one gets $(x - 2)^{42} \cdot (x + 1)^{170} \cdot (x - 1)^{212} \cdot (x^{2} + 79 x + 2) \cdot (x^{2} + 25 x + 2)^{9} \cdot (x^{2} + 7 x + 2)^{35} \cdot (x^{2} - 11 x + 2)^{75} \cdot (x^{2} - 5 x + 2)^{90} \cdot (x^{4} - 100 x^{3} - 9601 x^{2} - 200 x + 4) \cdot (x^{4} - 44 x^{3} - 1313 x^{2} - 88 x + 4)^{9} \cdot (x^{4} - 20 x^{3} - 161 x^{2} - 40 x + 4)^{35}$.
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