User Lucia

5 votes

Accepted

Lower bounding a partition-related sum

answered Mar 2 at 1:18

8 votes

Accepted

Parities of binary weights of primes

answered Feb 23, 2022 at 5:22

10 votes

Accepted

Unpublished result of Rosser in Sieve Methods book

answered Feb 16, 2022 at 20:53

11 votes

Asymptotic for the average of $|d(n)-\log n|$?

answered Feb 14, 2022 at 17:05

8 votes

Accepted

How often is the value of a quadratic polynomial equal to a sum of two integer squares?

answered Jan 19, 2022 at 1:40

7 votes

Magic trick based on deep mathematics

answered Nov 30, 2021 at 1:36

11 votes

Accepted

Upper bound for maximum modulus of polynomial on unit circle in term of the distribution of its roots

answered Oct 3, 2021 at 21:35

9 votes

Accepted

Counting $\pm 1$ and $0$'s in the character tables of $\frak{S}_n$

answered Sep 12, 2021 at 20:33

13 votes

Accepted

Bound on $L^2$ norm of $1/\zeta(1+i t)$?

answered Sep 10, 2021 at 17:47

20 votes

Accepted

Does the equation $\varphi(n)=\sigma(m)$ have infinitely many solutions?

answered Aug 31, 2021 at 18:30

6 votes

Accepted

Power of $2$ dividing a specialized Mittag-Leffler polynomial

answered Jun 29, 2021 at 17:40

14 votes

Accepted

Improving the error term in a classic sieving problem

answered Jun 27, 2021 at 2:48

12 votes

Accepted

Prove or disprove that $\sup_{n\in\mathbb{N}}\left|\sum_{\substack{d|n \\d<Q}}\mu(d)\right|\sim\pi(Q)$

answered Jan 10, 2021 at 3:57

13 votes

Error term in Davenport's sum $\sum_{n \leq x } \mu(n) \exp(2 \pi i \alpha n ) $

answered Dec 11, 2020 at 17:51

13 votes

Accepted

Is $\Bigl\{ n \sum_{k=2}^{n-1} \frac{1}{k}\Bigr\}$ unique $\forall n \in \Bbb{N}, n>1$

answered Nov 12, 2020 at 21:26

37 votes

Accepted

Is there a real nonintegral number $x >1$ such that $\lfloor x^n \rfloor$ is a square integer for all $n \in \mathbb{N}$?

answered Nov 9, 2020 at 2:08

6 votes

Questions on $x^2+y^2+z^2$, $x^2+y^2+2z^2$ and $x^2+2y^2+3z^2$

answered Nov 5, 2020 at 4:09

22 votes

Accepted

reference for: no finite set of positive (integer) binary quadratic forms represents all primes

answered Oct 12, 2020 at 17:29

5 votes

Accepted

Generalization of the The Liouville Lambda function

answered Sep 10, 2020 at 22:46

15 votes

Accepted

$π(x+y) - π(x) ≤ c·y/\ln(y)$ for some constant $c$?

answered Sep 5, 2020 at 20:45

10 votes

Accepted

Bounds for the $2$-torsion subgroup of the class group of a number field

answered Sep 5, 2020 at 5:01

14 votes

Accepted

Hadamard factorization of L-functions

answered Aug 31, 2020 at 17:19

21 votes

Injective integer polynomial is injective modulo some prime

answered Aug 9, 2020 at 19:24

11 votes

Mean square estimate for the Kloosterman sums

answered Jul 2, 2020 at 15:58

9 votes

Accepted

Integrals of products of fractional parts

answered May 12, 2020 at 19:05

14 votes

Accepted

If $\zeta(s)=0$ with $\Re(s)=\frac{1}{2}$, is then $|\hat{\zeta}(s,3)|^2=\frac{1}{2}$?

answered Apr 15, 2020 at 19:17

13 votes

Accepted

How many numbers $\le x$ can be factorized into three numbers which form the sides of a triangle?

answered Mar 15, 2020 at 23:21

24 votes

Accepted

About the number of primes which are the sum of 3 consecutive primes (OEIS A034962)

answered Mar 3, 2020 at 21:06

3 votes

Accepted

Spacing of prime divisors

answered Feb 28, 2020 at 19:47

7 votes

Lower bound for the order of a simple group with a given class number

answered Dec 25, 2019 at 16:59

Stack Exchange Network

288 Answers

Lower bounding a partition-related sum

Parities of binary weights of primes

Unpublished result of Rosser in Sieve Methods book

Asymptotic for the average of $|d(n)-\log n|$?

How often is the value of a quadratic polynomial equal to a sum of two integer squares?

Magic trick based on deep mathematics

Upper bound for maximum modulus of polynomial on unit circle in term of the distribution of its roots

Counting $\pm 1$ and $0$'s in the character tables of $\frak{S}_n$

Bound on $L^2$ norm of $1/\zeta(1+i t)$?

Does the equation $\varphi(n)=\sigma(m)$ have infinitely many solutions?

Power of $2$ dividing a specialized Mittag-Leffler polynomial

Improving the error term in a classic sieving problem

Prove or disprove that $\sup_{n\in\mathbb{N}}\left|\sum_{\substack{d|n \\d<Q}}\mu(d)\right|\sim\pi(Q)$

Error term in Davenport's sum $\sum_{n \leq x } \mu(n) \exp(2 \pi i \alpha n ) $

Is $\Bigl\{ n \sum_{k=2}^{n-1} \frac{1}{k}\Bigr\}$ unique $\forall n \in \Bbb{N}, n>1$

Is there a real nonintegral number $x >1$ such that $\lfloor x^n \rfloor$ is a square integer for all $n \in \mathbb{N}$?

Questions on $x^2+y^2+z^2$, $x^2+y^2+2z^2$ and $x^2+2y^2+3z^2$

reference for: no finite set of positive (integer) binary quadratic forms represents all primes

Generalization of the The Liouville Lambda function

$π(x+y) - π(x) ≤ c·y/\ln(y)$ for some constant $c$?

Bounds for the $2$-torsion subgroup of the class group of a number field

Hadamard factorization of L-functions

Injective integer polynomial is injective modulo some prime

Mean square estimate for the Kloosterman sums

Integrals of products of fractional parts

If $\zeta(s)=0$ with $\Re(s)=\frac{1}{2}$, is then $|\hat{\zeta}(s,3)|^2=\frac{1}{2}$?

How many numbers $\le x$ can be factorized into three numbers which form the sides of a triangle?

About the number of primes which are the sum of 3 consecutive primes (OEIS A034962)

Spacing of prime divisors

Lower bound for the order of a simple group with a given class number