Did Ludwig van Beethoven study with Wolfgang Amadeus Mozart?

Ludwig van Beethoven did not study with Wolfgang Amadeus Mozart.

While it is true that in 1787 the archbishop-elector of Cologne sent Beethoven to Vienna with the intention that he study with Mozart, the visit was cut short after a short time due to the death of Beethoven’s mother. Although tradition suggests that Mozart was impressed by Beethoven’s improvisational skills and predicted his future success, there is no reliable historical account confirming that a formal period of study took place during this trip.1

Beethoven eventually moved to Vienna permanently in 1792, but by that time, Mozart had already passed away. Instead, Beethoven famously went on to study with Joseph Haydn.1