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The Ramanujan-Nagell Theorem: Understanding the Proof
The Ramanujan-Nagell Theorem: Understanding the Proof
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A crash introduction to BSD conjecture
The pdf version is A crash introduction to BSD conjecture . We begin with the We…
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SL_2(Z) and its congruence subgroups
The pdf version is A crash introduction to BSD conjecture . We begin w…
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Dirichlet hyperbola method
A pdf version is Dirichlet hyperbola method. 1. Introduction Theorem 1 $\display…
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Diophantine approximation
I explain some general ideal in the theory of diophantine approximation, some of…
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Discrete harmonic function in Z^n
There is some gap, in fact I can improve half of the argument of Discrete harmon…
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Log average sarnak conjecture
This is a note concentrate on the log average Sarnak conjecture, after th…
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Two stupid question
The story of the infinite dimensional space of $\Delta$ is following, we elimina…
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Uncertainty principle
The pdf version is Uncertainty principle. The nice note of terrence tao see…