Note on the Intermediate Field Representation of Phi^2k Theory in Zero   Dimension
  This expanded version corrects some misprints of the first version, details completely the poof of Borel-Leroy summability and for $k=3$ in the complex case provides a new improved representation which relies on ordinary convergent Gaussian integrals rather than oscillatory integrals. 
Luca Lionni and Vincent Rivasseau
math-ph math.MP