A heat exchanger tube with a tube axis and with a tube wall having a tube outside and a tube inside, axially parallel or helically encircling inner ribs, with a groove which lies in each case between adjacent inner ribs, being formed from the tube wall on the tube inside, the helix angle, measured with respect to the tube axis, of the inner ribs being smaller than or equal to 45°, the region of the inner ribs which is remote from the tube wall being deformed at regular intervals asymmetrically on one side essentially in the tube circumferential direction, the deformed material of the inner ribs forming protrusions above the groove, the protrusions extending in each case over a finite deformation zone along an inner rib, the markedness of the deformation changing continuously within the deformation zone.