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Rob
  • Member for 13 years, 2 months
  • Last seen more than 5 years ago
13 votes
3 answers
4k views

Non-increasing sequence of positive real numbers with prime index

13 votes
1 answer
2k views

Mean Value of a Multiplicative Function close to $n$ in Terms of the Zeta Function

10 votes
1 answer
1k views

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?

8 votes
1 answer
641 views

Showing that $\sum_{n \leq x} \frac{\mu(n)}{n} \log \frac{x}{n} = O(1)$.

7 votes
2 answers
2k views

A question about the proof that $(\mathbb{Z}/p\mathbb{Z})^\times$ is cyclic

7 votes
2 answers
459 views

Mean value of arithmetic function

7 votes
1 answer
584 views

How will this equation imply PNT

7 votes
1 answer
410 views

How to prove this combinatorial identity?

6 votes
2 answers
1k views

Method of image charge for ellipse

6 votes
1 answer
216 views

Estimating $\int_e^x \log\log{t}\, dt$ so the error term in within $O\left(\frac{x}{\log^2{x}}\right)$

5 votes
0 answers
197 views

Euler summation and its transformation

5 votes
1 answer
263 views

Express Dirichlet series in terms of Dirichlet L-function

5 votes
2 answers
212 views

Farey fractions in arithmetic progression

5 votes
1 answer
130 views

Counting the solutions of $x^2 \equiv y^2-d \pmod p$

4 votes
1 answer
240 views

Relation between zeta function and Dirichlet L-function

4 votes
2 answers
313 views

How to prove this inequality using prime number theorem

4 votes
2 answers
2k views

Laplace transform of a Gaussian function with complex variable

4 votes
2 answers
167 views

Find the radius of convergence for this series

4 votes
1 answer
782 views

What is the dual lattice of Kagome lattice?

3 votes
0 answers
86 views

signature function of Weyl group element in LieArt

3 votes
2 answers
2k views

Real Dirichlet characters mod $k$

3 votes
1 answer
587 views

Exercise I.1.6 from Tenenbaum's "Introduction to analytic and probabilistic number theory"

3 votes
3 answers
321 views

Convergence of prime series

3 votes
2 answers
247 views

Will partial summation work for this problem?

3 votes
0 answers
181 views

Subadditive in analytic number theory

3 votes
1 answer
384 views

Dirichlet character over Riemann zeta function

3 votes
0 answers
422 views

Dirichlet series represents an analytic function

2 votes
2 answers
255 views

A question about an identity involving Dirichlet characters

2 votes
1 answer
912 views

the volume of 3-sphere

2 votes
0 answers
87 views

the nth power Logarithmic Integral [duplicate]