https://blog.namln.org/en/tags/number-theory/Recent content in Number Theory on Nam LeHugoen-USMon, 07 Jul 2025 00:00:00 +0000https://blog.namln.org/en/mathematics/number-theory/useful-resources/Mon, 07 Jul 2025 00:00:00 +0000https://blog.namln.org/en/mathematics/number-theory/useful-resources/<h2 class="heading" id="general"> General<span class="heading__anchor"> <a href="#general">#</a></span> </h2><ol> <li><a href="https://link.springer.com/book/10.1007/978-0-387-21735-2"><strong>Elements of Number Theory</strong></a> by John Stillwell</li> <li><a href="https://wstein.org/ent/"><strong>Elementary Number Theory: Primes, Congruences, and Secrets</strong></a> by William Stein</li> <li>MIT&rsquo;s <a href="https://ocw.mit.edu/courses/18-781-theory-of-numbers-spring-2012/pages/lecture-notes/"><strong>Theory of Numbers</strong></a></li> <li><a href="https://www.youtube.com/playlist?list=PL8yHsr3EFj53L8sMbzIhhXSAOpuZ1Fov8"><strong>Berkeley&rsquo;s Number Theory</strong></a> by Richard E Borcherds, 1998 Fields Medalist</li> <li>UCLA&rsquo;s <a href="https://math.ucla.edu/~tsmits/coursenotes.pdf"><strong>Introduction to Number Theory</strong></a></li> </ol> <h2 class="heading" id="algebraic-number-theory"> Algebraic Number Theory<span class="heading__anchor"> <a href="#algebraic-number-theory">#</a></span> </h2><ol> <li><a href="https://www.jmilne.org/math/CourseNotes/ANT.pdf"><strong>Algebraic Number Theory</strong>,</a> by J.S. Milne</li> <li><a href="kimballmartin.github.io/intro-nt/nt.pdf"><strong>An Algebraic introduction to Number Theory</strong></a> by Kimball Martin</li> </ol> <h2 class="heading" id="analytic-number-theory"> Analytic Number Theory<span class="heading__anchor"> <a href="#analytic-number-theory">#</a></span> </h2>https://blog.namln.org/en/mathematics/number-theory/Thu, 27 Jun 2024 23:14:15 +0800https://blog.namln.org/en/mathematics/number-theory/<p> <img src="https://upload.wikimedia.org/wikipedia/commons/1/1b/Complex_zeta.jpg" alt> </p> <p> <em>Riemann zeta function $\zeta(s)$ in the complex plane. The color of a point s gives the value of $\zeta(s)$: dark colors denote values close to zero and hue gives the value's argument.</em> </p>