Dirichlet's Theorem in the context of complex analysis, as explained by John B. Conway, addresses the distribution of prime numbers within arithmetic progressions. The theorem asserts that there are infinitely many primes in any arithmetic progression where the first term and the common difference are coprime. This foundational concept is crucial for understanding number theory and its applications in complex analysis.
PREREQUISITESMathematicians, students of complex analysis, and anyone interested in the intersection of number theory and complex functions will benefit from this discussion.