Corrections for
Proofs and Confirmations
Note that a reference to line 7b means the seventh line from the bottom
of the page.
 pp[75] = 37,745,732,428,153; note that the 9th and 10th digits were transposed
 the reference to Figure 1.7 should come in the third line from the bottom,
at the end of the sentence that concludes "the bottom level of each shell."
 last number should be 7436 instead of 7435
 In the formula, (rk1)! should be (2rk1)!
 $A_{n.k}$ should be $A_{n,k}$
 This exercise is nonsense. Given a descending plane partition with largest
part r, we can always insert above it a row of r (r+1)s. Every descending
plane partition fits the definition of being stripped.
 y^2 z ++ y z^2 should be y^2 z + y z^2

 left side of displayed equation should be: $(1q)(1q^2)(1q^3) \cdots$


 left side of displayed equation should be: $\frac{1}{(1tq)(1tq^2)(1tq^3)
\cdots}$
 delete "is"
 the binomial involving y's should have exponenets that are functions of
j rather than i: $(y^{3j}  y^{13j})$
 to clarify, change last two lines to: "equation (2.24) implies that
the $a_j$ must be unique."
 first product to right of = should be over $1 \leq i < j \leq n$
 page 82, exercise 3.1.10,
 "negative for $k \equiv \pm 1 \pmod{8}$" should read "negative
for $k \equiv \pm 3 \pmod{8}$".
 the upper limit on the product should be r rather than l.
 page 99, second sentence after Conclusion
This should say, "For each $i$, we factor $(q;q)_{s+t}/(q;q)_{si+r}(q;q)_{t+i1}$ out of the $i$th row of our matrix."
 change "exactly k parts of size r," to "exactly k parts of
size r in the associated shifted plane partition,"

 in last displayed equation, numerator of last Gaussian polynomial should
be "2r  2  k" rather than "r  2  k".
 page 109, exercise 3.4.3 should be changed to read:
 Show that the conjectured generating function for cyclically symmetric plane
partitions that fit inside $\cal{B}(r,r,r)$ can be written as

 \[ \prod_{i=1}^r \frac{1q^{3i1}}{1q^{3i2}} \prod_{1 \leq i \leq j \leq
r} \frac{1q^{3(r+i+j1)}}{1q^{3(2i+j1)}}. \]

 Use {\it Mathematica\/} to show that this conjectured generating function
agrees with $\det(I_r+G_r)$ for $ 1 \leq r \leq 5$.
 sentence should end "when $\lambda = 1$.
 page 125, Proposition 4.2,
 all $n$s should be $k$s.
 page 127, Exercise 4.1.19,
 the last term in the displayed summation should be $(1)^b h_{a+b+1}$.
 the limits on the second product should be $ 1 \leq i < j \leq r$
 page 148, Exercise 4.3.9,
 in the last line of this exercise, the exponent in the numerator of the
last fraction should be $a_j+1$
 page 155, last diplayed equation
 $L_m$ should be $L_r$
 page 166, beginning line 8
 The phrase "For the series given in equation (5.10) with real parameters,"
should read:

 "For the series $\sum_{k=0}^{\infty} x^k (\alpha)_k (\beta)_k / k!
(\gamma)_k$ with $x = 1$ and real parameters, "
 page 166, third displayed mathematics
 there should be a factor of $k+1$ in the denominator
 there should be a factor of 2 in the numerator
 page 173, Exercise 5.2.5:
 $c1k$ should be $c1+k$
 page 180, bottom line of Equation 5.33:
 misplaced comma, should come after the vector
 $I_r + T_j$ should be $I_r + T_r$
 $RA_r^*R{1}$ should be $RT_r^*R{1}$
 a factor of $1q^{r2/3}$ is missing from the denominator
 page 187, Exercise 5.3.1:
 $\frac{1q^{\eta+ht(\eta)}}{1q^{ht(\eta)}}$ should be $\frac{1q^{\eta(1+ht(\eta))}}{1q^{\etaht(\eta)}}$.
 (There are two instances of this error.)

 page 193, expansion of f_7(x)
 linear term should be $29400x$ rather than $24900x$
 change "reflection across the $y=x$ plane" to "reflection
through the center of the box."
 change $(ri1,sj1,tk1)$ to $(ri+1,sj+1,tk+1)$
 page 198, equation (6.7) is incorrect. It should read
 \[ N_3(r,r,r) = \left( \prod_{i=1}^r \frac{3i1}{3i2} \right) \left( \prod_{1
\leq i \leq j \leq r} \frac{r+i+j1}{2i+j1} \right). \]
 page 198, equation 6.8 is incorrect. It should read
 \[ N_4(r,r,r) = \prod_{1 \leq i \leq j \leq r} \frac{i+j+r1}{i+2j2}. \]
 page 198, the left side of equation 6.11 should read
 $N_5(2r+1,2s+1,2t)$
 page 199, equation 6.15 is incorrect. It should read
 \[ N_8(2r,2r,2r) = \prod_{i=0} ^{r1}\frac{(3i+1) (6i)! (2i)!}{(4i+1)! (4i)!}.
\]
 page 203, exercise 6.1.10
 $ n+j)! $ in last denominator should be $ (n+j)! $
 insert "nonnegative" before "integer entries"
 delete "twice"
 "perpendicular bisector" should be "angle bisector"
 page 243, Exercise 7.2.5:
 $y_j^{n1}$ should be $y_j^{n2}$.
 page 250, equation (7.28)
 numerator of rightmost fraction should be $f(x)  f(xq)$
 pages 253254, in each of the five equations for S(P_{n1}(x)) beginning
at the bottom of page 253
 If we replace $x$ by $xq$ in $D_q^m f(x)$, we get $q^{m} D_q^m f(xq)$,
so righthand side of each of these equalities also needs a factor of $q^{3(n1)(n2)/2}$
 page 254, second equation (line 9):
 $(q^{3j+3}:q^3)$ should be $(q^{3j+3};q^3)$. Also in that term, a factor
of $(t^6 q^{33n})^j$ is
 missing.
Thanks to the following people who have found errors in Proofs and Confirmations:
Robin Chapman, Emeric Deutsch, Neil J. A. Sloane, Paul Terwilliger and his class
at UWMadison, Ronald P. Infante, Eric Kuo, Robert Mills, Graham Hawkes