A modified Euler–Maclaurin formula in 1D and 2D with applications in statistical physics
Jihong Guo,Yunpeng Liu
Table 1.
Approximate values of the first several
x
n
and
g
n
(
x
n
).
n
2
3
4
5
6
7
8
9
10
x
n
1.534
2.052
2.476
2.843
3.170
3.467
3.742
3.999
4.240
g
n
(
x
n
)
1.374
1.584
1.772
1.942
2.099
2.245
2.382
2.512
2.635