Semiconductor memory device and method for production of the semiconductor memory device

The semiconductor memory device has a substrate with a main surface, on which parallel trenches are arranged. A memory layer is disposed at the sidewalls of the trenches, and gate electrodes are disposed in the trenches. Buried bitlines are formed as doped regions between neighboring trenches. The buried bitlines abut the sidewalls of the trenches and comprise upper surfaces, which are arranged at a specified distance from the bottom of the trenches. Source/drain regions are formed by sections of the buried bitlines.