NEW YORK — Rajat Gupta, a former Goldman Sachs board member, has asked a federal appeals court to reverse his conviction on insider trading charges, arguing that a judge made a series of incorrect rulings during his trial.

“This court should reverse the convictions in view of the court’s serious evidentiary errors, which decisively tipped the scales in this case,’’ wrote Gupta’s lawyers in a brief to the US Court of Appeals for the Second Circuit in Manhattan filed late Friday.