Compila questo e vedi se a posto della a non compare un 1:
`
\documentclass[12pt]{beamer}
\usetheme{Frankfurt}
\usepackage[latin1]{inputenc}
\usepackage[italian]{babel}
\usepackage{graphicx}
\makeatletter
\def\@thm#1#2#3{%
\ifhmode\unskip\unskip\par\fi
\normalfont
\let\thmheadnl\relax
\let\thm@swap\@gobble
\thm@headpunct{.}% add period after heading
\thm@space@setup
#1% style overrides
\def\inserttheoremname{#3}
\def\inserttheorempunctuation{\the\thm@headpunct}
\def\@tempa{#2}%
\ifx\@empty\@tempa
\def\inserttheoremnumber{}
\else
\refstepcounter{#2}%
\expandafter\def\expandafter\inserttheoremnumber\expandafter{ \csname the#2\endcsname}
\fi
\beamer@begintheorem%
\renewcommand{\thefootnote}{\arabic{\footnote}}
}
\makeatother
%\newtheorem{Teorema}{Teorema}
\newtheorem{definiz}{Definizione}
\newtheorem{Esempio}{Esempio}
\newtheorem{Osservazioni}{Osservazione}
%\newtheorem{Lemma}
%\usepackage{bm}
\usepackage{pgf}
\usepackage{amsbsy}
\usepackage{latexsym}
\usepackage{inputenc}
\usepackage{color}
\usepackage{times}
\mode
\defbeamertemplate{slidenumber}{framenumber}
{\insertframenumber}
\defbeamertemplate*{slidenumber}{totalframenumber}
{\insertframenumber\,/\,\inserttotalframenumber}
\defbeamertemplate{slidenumber}{pagenumber}
{\insertpagenumber}
\defbeamertemplate{slidenumber}{totalpagenumber}
%{\insertpagenumber\,/\,\insertpresentationendpage}
\useinnertheme{rounded}
\defbeamertemplate*{footline}{split slidenumber right}
{%
\begin{beamercolorbox}[wd=\paperwidth,ht=2.5ex,dp=1.125ex,leftskip=.3cm,rightskip=.3cm
plus1fil]{title in head/foot}%
\usebeamerfont{title in head/foot}{Approccio non parametrico all'analisi della cointegrazione}%
\hskip2ex plus1fill%
\usebeamertemplate{slidenumber}%
\end{beamercolorbox}}%
\vskip0pt%
%\usetheme[
%\usetheme{Singapore}
\usecolortheme{seahorse}
\usecolortheme{rose}
\usefonttheme[onlylarge]{structuresmallcapsserif}
\usefonttheme[onlysmall]{structurebold}
\usefonttheme{serif}
\setbeamerfont{author}{shape=\scshape,family=\rmfamily}
\setbeamercolor{title}{fg=black,bg=blue!20!white}
\renewcommand{\thempfootnote}{\arabic{mpfootnote}}
\begin{document}
\begin{frame}
\begin{definiz}
nota a piede\footnote{nota}
\end{definiz}
\end{frame}
\end{document}`
Ciao
Andrea