I have studied analytic number theory from 2 volumes of Apostol , Lectures in Sieve Theory online and I am thinking of reading some research papers in Number Theory and then try to work on some problem (If possible).

The issue is that I don't have a guidence.

So, can you please let me know what are the major different directions of Analytic Number Theory in where research is active now a days along with a very brief explanation of why ?

Thank you very much!

chaptersof I-K together with either textbook). Apostol tends to be recommended as a first book in analytic number theory by people who are not in analytic number theory, it would seem. $\endgroup$