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| | This post works though the exercises for Chapter 1 of Axler's Linear Algebra Done Right. The summary review can be found
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| | During my undergrad, I took a linear algebra class that I struggled with enough to switch sections to another professor early in the semester. A big reason I sw
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| | Dirichlet's Theorem on the infinitude of primes in arithmetic progressions relies on the non-vanishing of non-trivial Dirichlet characters at 1. In this post, I'll show how this reduction can be introduced in an intuitive way via sieve theory. If we actually sieve, we obtain estimates for the number of integers whose prime factors lie in...
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