I'd have to find the actual research but I don't have time right now. Here's an overview.
https://www.independent.co.uk/news/a-drop-in-temperature-can-change-the-sex-of-chickens-1238516.html
Not sure about nutritional influences, but I do remember reading something about the temperature in the early embryonic stage of the egg can affect gender outcome i.e. change the gender. Something to the effect of if the embryo was changed from male to female due to the temperature of the egg...