Commentary for Avodah Zarah 15:14
סטרנליא וקרטסים ויום גנוסיא של מלכיהם ויום שהומלך בו מלך לפניו אסור אחריו מותר ועובד כוכבים שעשה (בו) משתה לבנו אין אסור אלא אותו היום ואותו האיש
As to Saturnalia, Kratesis, and the anniversary of accession to the throne, or the day on which a king is proclaimed, the prohibition applies to the period preceding them, but thereafter it is permitted. If an idolater gives a banquet for his son the prohibition is limited to that day and that man.
Daf Shevui to Avodah Zarah
This baraita provides more details as to the prohibition of engaging in business with idolaters around their festivals.
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