2 emacs shell questions

[kj <no.email@please.post>]

Two emacs shell questions.  (By "emacs shell" I mean the one that
runs when one executes M-x shell.)

1. When I run some programs within this shell (e.g. the python
   interactive interpreter), I get several repetitions of the error
   message

No entry for terminal type "emacs";
using dumb terminal settings.

   Where is this "entry" being searched for, and what do I need to
   do so that one for terminal type "emacs" is found?

2. For some reason, when in the emacs shell, a set ignoreeof option
   in zsh is being disregarded.  As a result pressing C-d when
   point is at the end of the buffer causes the emacs shell to
   terminate (i.e. the EOF sent to the subprocess is *not* being
   ignored, contrary to what the set ignoreeof option specifies).
   Even more strangely, this does not happen with bash (setting
   its ignoreeof option produces the expected behavior).  Also,
   zsh's ignoreeof works fine when I run it on a regular terminal
   (as opposed to the emacs shell).  So there problem seems to be
   specific to the combination of zsh and emacs shell, but I can't
   tell whether the problem lies with Emacs or with zsh.  Any
   suggestions on how to troubleshoot this further would be
   appreciated.

TIA!

~kj