Helena:
There are indeed endocrine condtions which may underlie pigment problems, but they are very rare, and in my expericne, external conditions are far more common. As for acanthosis nigricans (in Englsih: dark thickening), this appears on the neck and under the arms as darkenss and thick, velevety skin, often with little papillomas or taks on top. It's a clinical diagnosis, for which tests are generall not needed. The exception is when the cause of the acanthosis, which typically is genetics or obesity, is instead endocrine. It seems that your doctor is already looking into that.
Best.
Dr. R
Helena