Rob
  • Member for 10 years, 10 months
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1 answers
13 votes
1k views
5 bookmarks
Mean Value of a Multiplicative Function close to $n$ in Terms of the Zeta Function
3 answers
13 votes
4k views
3 bookmarks
Non-increasing sequence of positive real numbers with prime index
1 answers
10 votes
966 views
2 bookmarks
How do I prove $\sum_{n \leq x} \frac{\mu (n)}{n} \log^2{\frac{x}{n}}=2\log{x}+O(1)$? Can I use Abel summation?
1 answers
8 votes
553 views
1 bookmarks
Showing that $\sum_{n \leq x} \frac{\mu(n)}{n} \log \frac{x}{n} = O(1)$.
1 answers
7 votes
458 views
2 bookmarks
How will this equation imply PNT
2 answers
7 votes
385 views
Mean value of arithmetic function
1 answers
6 votes
208 views
Estimating $\int_e^x \log\log{t}\, dt$ so the error term in within $O\left(\frac{x}{\log^2{x}}\right)$
1 answers
6 votes
397 views
How to prove this combinatorial identity?
1 answers
5 votes
128 views
2 bookmarks
Counting the solutions of $x^2 \equiv y^2-d \pmod p$
2 answers
5 votes
930 views
1 bookmarks
Method of image charge for ellipse
2 answers
5 votes
206 views
Farey fractions in arithmetic progression
2 answers
5 votes
1k views
2 bookmarks
A question about the proof that $(\mathbb{Z}/p\mathbb{Z})^\times$ is cyclic
1 answers
5 votes
249 views
2 bookmarks
Express Dirichlet series in terms of Dirichlet L-function
0 answers
5 votes
186 views
Euler summation and its transformation
2 answers
4 votes
2k views
Laplace transform of a Gaussian function with complex variable
2 answers
4 votes
162 views
Find the radius of convergence for this series
1 answers
4 votes
225 views
Relation between zeta function and Dirichlet L-function
2 answers
4 votes
281 views
1 bookmarks
How to prove this inequality using prime number theorem
0 answers
3 votes
70 views
signature function of Weyl group element in LieArt
3 answers
3 votes
286 views
2 bookmarks
Convergence of prime series
0 answers
3 votes
347 views
Dirichlet series represents an analytic function
1 answers
3 votes
320 views
1 bookmarks
Dirichlet character over Riemann zeta function
2 answers
3 votes
236 views
Will partial summation work for this problem?
0 answers
3 votes
173 views
Subadditive in analytic number theory
1 answers
2 votes
365 views
1 bookmarks
The range of complex variable integration
1 answers
2 votes
571 views
What is the dual lattice of Kagome lattice?
2 answers
2 votes
1k views
Real Dirichlet characters mod $k$
2 answers
2 votes
241 views
A question about an identity involving Dirichlet characters
1 answers
2 votes
505 views
Exercise I.1.6 from Tenenbaum's "Introduction to analytic and probabilistic number theory"
0 answers
2 votes
81 views
1 bookmarks
the nth power Logarithmic Integral