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Limit of g(z) as T approaches Infinity
Now, if you’ve ever taken calculus (or even just watched “A Beautiful Mind”), you know that this concept is crucial for understanding functions and…
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The Poisson Distribution and its Applications
To start: what is the Poisson distribution? Well, let’s say you want to know how many people will show up at your local coffee…
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Newman’s Method for Proving the Prime Number Theorem
So what exactly is the prime number theorem? Well, it basically says that as you get further out into the realm of big numbers,…
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Chebyshev’s Method for Bounding ϑ(x)/x
It’s called Chebyshev’s Method for Bounding ϑ(x)/x. Now, if you don’t know what the ***** I’m talking about, let me explain in simple terms:…
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newman’s proof of the prime number theorem
This is not your typical proof that involves fancy calculus or complex numbers nope, this one is all about simple arithmetic and some clever…
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The Logarithmic Series for Zeta Function
To start: what is zeta function? Well, if you ask a math nerd, they might give you some fancy definition involving sums of reciprocals…
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Explicit Formulas in Number Theory
Now, if you’re not familiar with this field of mathematics, let me break it down for you: number theory is the study of numbers…
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The Prime Number Theorem and its Applications
You know, those ***** little guys that always seem to cause trouble when you least expect them. But did you know that there’s actually…
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The Proof Sketch of the Prime Number Theorem
Instead, let me break it down for you in a way that even a layman can understand! So what is this elusive “prime number…
