Algebraic Number Theory and Euler's constant

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After studying Herstein's books for Algebra (undergraduate and graduate) alongside some books in Analytic Number Theory, I decided to study Algebraic Number Theory as well. I read a recommendation on MSE (I don't remember the link) for Alaca's wonderful book and I just finished it!

My research interest is on Euler's constant and I was wondering do I have study more advanced book(s) on Algebraic Number Theory?