A low NOx burner and method wherein (a) combustion air flows through the interior of the burner in a manner effective for drawing an amount of inert flue gas diluent from the fired heating system into the combustion air stream, preferably via one or more induction channels provided through the burner wall, and/or (b) air or an inert gas is discharged into the induction channel(s) in a manner effective for delivering flue gas into the combustion air stream.