I studied number theory during my master's degree; however, after pursuing my PhD in mathematical logic, I found that my knowledge of number theory has significantly faded. Now, I am interested in rekindling my passion for this field, specifically in diophantine equations rather than prime numbers. Could you please provide me with recommendations for reference books, seminal works, or any other resources that would be beneficial for someone looking to delve back into number theory, particularly focusing on diophantine equations?
2026-04-06 01:06:15.1775437575
Resource request on algebraic number theory
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I would recommend Number Theory, by Z. I. Borevich and I. R. Shafarevich. This remains a classic even though Shafarevich expressed some regrettable political views subsequently. The book contains a particularly nice presentation of the theory of quadratic forms. The Hasse-Minkowski theorem is one of the major goals of the book.