id: 06427988
dt: j
an: 2015d.00650
au: Borwein, David; Borwein, Jonathan
ti: Deriving new sinc results from old.
so: Am. Math. Mon. 121, No. 8, 700-705 (2014).
py: 2014
pu: Mathematical Association of America (MAA), Washington, DC
la: EN
cc: G75 G95 I55
ut: volume; hyperplane; cube
ci: Zbl 0991.42004; Zbl 0601.52005; Zbl 1264.51015
li: doi:10.4169/amer.math.monthly.121.08.700
ab: Summary: From previously established results in our paper [Ramanujan J. 5,
No. 1, 73‒89 (2001; Zbl 0991.42004)], we develop a simple proof of
{\it K. Ball}’s expression in [Proc. Am. Math. Soc. 97, 465‒473
(1986; Zbl 0601.52005)] for the volume of the intersection of an
$(n-1)$-dimensional hyperplane with an $n$-dimensional cube, as well as
a simple proof of the formula given by {\it R. Frank} and {\it H.
Riede} [Am. Math. Mon. 119, No. 10, 868‒872 (2012; Zbl 1264.51015)]
for that volume.
rv: