Welcome to the forum Mike, you'll find the members on here are a friendly and helpful bunch :)
You are correct in saying the service history is now digital and the service history should be able to be provided by any Audi main dealer. This includes any warranty work or recall work that has been carried out.
They may not provide you with exact details over the phone due to data protection.but they should be able to tell you if it's got full history and whether or not certain recalls have been carried out, such as the emissions recall.
Cheers
Steve