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A modified Euler–Maclaurin formula in 1D and 2D with applications in statistical physics
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Jihong Guo,Yunpeng Liu
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Table 3. Approximate values of ${\tilde{R}}_{0{np}}^{H}$ [defined in equation (32)] with B = 1.
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| n | 3 | 5 | 7 | 9 | 11 | 13 | 15 |
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| p | | | | | | | |
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| 0 | 6.5 × 10−2 | 1.6 × 10−2 | 6.4 × 10−3 | 3.2 × 10−3 | 1.9 × 10−3 | 1.4 × 10−3 | 1.1 × 10−3 | | 1 | 1.1 × 10−2 | 5.8 × 10−4 | 5.3 × 10−5 | 6.4 × 10−6 | 9.5 × 10−7 | 1.7 × 10−7 | 3.4 × 10−8 | | 2 | 4.1 × 10−3 | 9. × 10−5 | 3.4 × 10−6 | 1.8 × 10−7 | 1.1 × 10−8 | 8.8 × 10−10 | 7.8 × 10−11 | | 3 | 2.2 × 10−3 | 2.5 × 10−5 | 5.0 × 10−7 | 1.4 × 10−8 | 5.1 × 10−10 | 2.2 × 10−11 | 1.1 × 10−12 | | 4 | 1.3 × 10−3 | 9.3 × 10−6 | 1.2 × 10−7 | 2.1 × 10−9 | 4.6 × 10−11 | 1.2 × 10−12 | 3.9 × 10−14 |
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