User Dr. Pi

12 votes

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On the natural density of almost perfect numbers

answered May 14, 2015 at 12:04

9 votes

Sum of two consecutive squares equals difference of two consecutive cubes

answered Aug 22, 2017 at 15:34

7 votes

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Siegel-Walfisz for the Möbius function

answered May 7, 2015 at 15:45

5 votes

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Let $f(n)$ be a quadratic polynomial .Then is the density of integers such that $|\omega(f(n+k))-\omega(f(n))|\le C$ for some constant $C$ zero?

answered Dec 1, 2020 at 4:04

5 votes

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Explicit bounds on number of squarefree numbers coprime to a certain number

answered May 19, 2021 at 10:40

4 votes

Best known bounds for $\left|\sum_{n<x}\mu(nk)\right|$ (Reference request)

answered Jan 19, 2021 at 21:56

4 votes

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Best known bounds for $\left|\sum_{n<x}\mu(nk)\right|$ (Reference request)

answered Jan 19, 2021 at 23:18

4 votes

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Estimating a sum of the shape $\sum_{n \leq x} a(n) b(n)$

answered Oct 4, 2020 at 0:21

4 votes

Squareful values of polynomials

answered May 21, 2017 at 0:21

4 votes

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Tail of singular series of Goldbach problem

answered Jan 9, 2014 at 4:16

4 votes

Divisor sums over values of binary forms of primes

answered Aug 12, 2014 at 10:40

4 votes

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Sieve bound for the sum of two squares

answered Jan 18, 2022 at 1:09

3 votes

A question on the prime divisors of p-1

answered Dec 15, 2010 at 20:22

3 votes

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Averaging the Jacobi symbol over an ellipse

answered May 21, 2017 at 11:56

2 votes

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Asymptotics for a peculiar kind of squarefree numbers

answered May 24, 2017 at 18:26

2 votes

density of primes such that both $f(x)$ and $g(x)$ have roots

answered Jun 7, 2021 at 9:41

2 votes

Average value of the prime omega function $\Omega$ on predecessors of prime powers

answered Dec 10, 2022 at 11:57

1 vote

Estimating $\sum_{n\leq x: n \in A} d(n)^a$ from below for large sets $A\subset \{1,2,\ldots,x\}.$

answered Sep 17, 2019 at 16:51

1 vote

What is the Euler product for double summations?

answered May 7, 2017 at 14:32

1 vote

A truncated divisor function sum

answered Apr 8, 2012 at 9:14

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20 Answers

On the natural density of almost perfect numbers

Sum of two consecutive squares equals difference of two consecutive cubes

Siegel-Walfisz for the Möbius function

Let $f(n)$ be a quadratic polynomial .Then is the density of integers such that $|\omega(f(n+k))-\omega(f(n))|\le C$ for some constant $C$ zero?

Explicit bounds on number of squarefree numbers coprime to a certain number

Best known bounds for $\left|\sum_{n<x}\mu(nk)\right|$ (Reference request)

Best known bounds for $\left|\sum_{n<x}\mu(nk)\right|$ (Reference request)

Estimating a sum of the shape $\sum_{n \leq x} a(n) b(n)$

Squareful values of polynomials

Tail of singular series of Goldbach problem

Divisor sums over values of binary forms of primes

Sieve bound for the sum of two squares

A question on the prime divisors of p-1

Averaging the Jacobi symbol over an ellipse

Asymptotics for a peculiar kind of squarefree numbers

density of primes such that both $f(x)$ and $g(x)$ have roots

Average value of the prime omega function $\Omega$ on predecessors of prime powers

Estimating $\sum_{n\leq x: n \in A} d(n)^a$ from below for large sets $A\subset \{1,2,\ldots,x\}.$

What is the Euler product for double summations?

A truncated divisor function sum