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TravorLZH
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An undergraduate math student deeply interested in number theory. I learn by asking and answering tough questions on this community.

Have a glance of my field of interest in these answers:

Simple proof for a general Brun's upper bound sieve

Asymptotic formula for Mean of Sum of Power of Divisors $\frac{ \sum_{i=1}^{n}\sigma_v(i)}{n}\sim\frac{n^v\zeta(v+1)}{v+1}$

Jensen's Formula and the number of zeros.

Proof: If convergence of Dirichlet series in one point, then uniform convergent in a sector

Volume of a $l_2$ ball of radius $r$

Prove that $\sum_{n\leq x , gcd(3,n)=1} \frac{ \tau(n)}{n} = \frac{ 2(\log x)^2} {9} +O(\log x)$

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Top posts
View all questions and answers
10
How to find $\int_0^1 x^4(1-x)^5dx$ quickly?
Jul 16, 2022
8
Contour integration w/ exponential and cosine functions
Apr 2, 2020
8
How do I evaluate the sum $\sum_{n=1,3,5,...}^{\infty} \frac{1}{n^{4}}$?
Feb 20, 2022
7
Laurent expansion of $\zeta(s)$
Jul 1, 2021
7
Which functions besides $\ln{x}$ make $ \lim \limits_{N \to \infty} \sum_{n=1}^N f'(n) -f(N) $ converge?
Feb 3, 2023
7
Sum of Three Primes and Vinogradov's Theorem
Jun 21, 2023
6
How to estimate the integral $I=\int _{\frac{x}{2}}^{x} \frac{e^{t}}{t^{2}} \ dt = O(x^{-2} e^{x}),x \to \infty$
Jun 26
6
Do We Actually Calculate "Inverse Laplace Transforms"?
Jul 14, 2022
6
Prove that $\sum_{n\leq x , gcd(3,n)=1} \frac{ \tau(n)}{n} = \frac{ 2(\log x)^2} {9} +O(\log x)$
Nov 8, 2021
6
How to find $\lim_{n\to\infty}\Big(\sum_{k=1}^n\sqrt{\frac{1}{k}-\frac{1}{n}}-\frac{\pi}{2}\sqrt n\Big)$?
Dec 15, 2022
Top network posts
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58
Consequences resulting from Yitang Zhang's latest claimed results on Landau-Siegel zeros
13
On Buchstab et al's "forgotten" sieve and the Goldbach conjecture for certain integers
12
Why is so much work done on numerical verification of the Riemann Hypothesis?
8
Iterated logarithms in analytic number theory
6
On improvements of the GPY sieve