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+%Produce the formulae in the first columns of the second horizontal
+%part of page 10
+%
+%The macrohas one parameter:
+% 1) The size available to typeset the math
+\newcommand\TTenSerieFour[1]{%
+ \parbox[t]{#1}{%
+ \TTenSeriesFontSize
+ %This command typeset a line equation about the series on page 10
+ %when the serie is in one column
+ %
+ %The command has 2 parameters
+ % 1) The first formula to be expanded
+ % 2) its expanded version
+ \def\LineOfArray##1##2{%
+ ##1&=&##2\\[\TTenExpansionSkip]%
+ }
+ %To have some longer vertical space between some lines
+ %of the array (to better separate some equation).
+ \deflength\VSpace{1.2\TTenExpansionSkip}
+ $\displaystyle
+ \begin{array}{l@{\hspace{.1em}}c@{\hspace{.2em}}l}
+ \LineOfArray{\zeta(x)}
+ {\prod_p \frac{1}{1 - p^{-x}}}
+ \LineOfArray{\zeta^2(x)}
+ {\sum_{i=1}^\infty \frac{d(i)}{x^i}}
+ %The previous line is too long
+ & & \text{where }d(n) = \sum_{d \vert n} 1 \\[\VSpace]
+ \LineOfArray{\zeta(x)\zeta(x-1)}
+ {\sum_{i=1}^\infty \frac{S(i)}{x^i}}
+ %The previous line is too long
+ & & \text{where }S(n) = \sum_{d \vert n} d \\[\VSpace]
+ \LineOfArray{\zeta(2n)}
+ {\frac{2^{2n-1} \vert B_{2n} \vert}{(2n)!} \pi^{2n}, \quad n \in \Natural}
+ \LineOfArray{\frac{x}{\sin x}}
+ {\sum_{i=0}^\infty (-1)^{i-1}\frac{(4^i - 2) B_{2i} x^{2i}}{(2i)!}}
+ \LineOfArray{\left(\frac{1 - \sqrt{1-4x}}{2x}\right)^n}
+ {\sum_{i=0}^\infty \frac{n(2i + n - 1)!}{i! (n + i)!} x^i}
+ \LineOfArray{e^x \sin x}%
+ {\sum_{i=1}^\infty \frac{2^{i/2} \sin \tfrac{i \pi}{4}}{i!} x^i}
+ \LineOfArray{\frac{\sqrt{1 - \sqrt{1 -x}}}{x}}%
+ {\sum_{i=0}^\infty \frac{(4i)!}{16^i \sqrt{2} (2i)! (2i+1)!} x^i}
+ \LineOfArray{\left(\frac{\arcsin x}{x}\right)^2}%
+ {\sum_{i=0}^\infty \frac{ 4^i i!^2}{(i + 1)(2i +1)!} x^{2i}}
+ \end{array}$
+ }
+}
+%The title of this part
+%\newcommand\TTenSeriesBTitle{Series (continued)}
+\newcommand\TTenSeriesBTitle{\relax}