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Answer score of 10 or more. This badge can be awarded multiple times.

earned this badge 176 times.
Large gaps in Singer planar difference sets?
Awarded Dec 14, 2023 at 1:32
Asymptotic for the average of $|d(n)-\log n|$?
Awarded May 2, 2022 at 2:50
Unpublished result of Rosser in Sieve Methods book
Awarded Feb 22, 2022 at 1:33
Upper bound for maximum modulus of polynomial on unit circle in term of the distribution of its roots
Awarded Nov 6, 2021 at 9:48
Bound on $L^2$ norm of $1/\zeta(1+i t)$?
Awarded Sep 12, 2021 at 19:30
Does the equation $\varphi(n)=\sigma(m)$ have infinitely many solutions?
Awarded Aug 31, 2021 at 20:50
Improving the error term in a classic sieving problem
Awarded Jun 27, 2021 at 15:40
Siegel-Walfisz Theorem with smooth weights
Awarded Jun 2, 2021 at 20:55
Size of sets with complete double
Awarded May 18, 2021 at 22:04
Prove or disprove that $\sup_{n\in\mathbb{N}}\left|\sum_{\substack{d|n \\d<Q}}\mu(d)\right|\sim\pi(Q)$
Awarded Jan 10, 2021 at 9:40
Error term in Davenport's sum $\sum_{n \leq x } \mu(n) \exp(2 \pi i \alpha n ) $
Awarded Dec 12, 2020 at 13:27
Is $\Bigl\{ n \sum_{k=2}^{n-1} \frac{1}{k}\Bigr\}$ unique $\forall n \in \Bbb{N}, n>1$
Awarded Nov 13, 2020 at 4:10
Is there a real nonintegral number $x >1$ such that $\lfloor x^n \rfloor$ is a square integer for all $n \in \mathbb{N}$?
Awarded Nov 9, 2020 at 5:57
reference for: no finite set of positive (integer) binary quadratic forms represents all primes
Awarded Oct 12, 2020 at 19:46
Bounds for the $2$-torsion subgroup of the class group of a number field
Awarded Sep 6, 2020 at 11:05
$π(x+y) - π(x) ≤ c·y/\ln(y)$ for some constant $c$?
Awarded Sep 6, 2020 at 5:05
Hadamard factorization of L-functions
Awarded Sep 1, 2020 at 12:05
Injective integer polynomial is injective modulo some prime
Awarded Aug 10, 2020 at 6:06
Mean square estimate for the Kloosterman sums
Awarded Jul 7, 2020 at 22:33
If $\zeta(s)=0$ with $\Re(s)=\frac{1}{2}$, is then $|\hat{\zeta}(s,3)|^2=\frac{1}{2}$?
Awarded Apr 15, 2020 at 22:00
When does Merten's product theorem accurately estimate the number of coprimes in an interval?
Awarded Apr 12, 2020 at 14:35
How many numbers $\le x$ can be factorized into three numbers which form the sides of a triangle?
Awarded Apr 5, 2020 at 7:05
About the number of primes which are the sum of 3 consecutive primes (OEIS A034962)
Awarded Mar 4, 2020 at 5:35
$|L'(1,\chi)/L(1,\chi)|$
Awarded Oct 2, 2019 at 14:55
Bound on gcd of two integers
Awarded Sep 10, 2019 at 14:10
Using Eichler-Selberg trace formula to compute dimension of modular forms?
Awarded Aug 31, 2019 at 8:30
Number of matrices with bounded products of rows and columns
Awarded Aug 18, 2019 at 6:45
A question on the sine function
Awarded Aug 15, 2019 at 11:15
Is there a Kolmogorov complexity proof of the prime number theorem?
Awarded Aug 8, 2019 at 16:45
Size of finite subset of $\mathbb{N}$ such that the sum of reciprocals is a given positive integer
Awarded Jun 1, 2019 at 16:20
Upperbounding a sum of Legendre-Symbols
Awarded May 27, 2019 at 17:25
A group theoretic interpretation of Lagarias inequality
Awarded May 25, 2019 at 2:35
Dirichlet series with a single zero
Awarded May 4, 2019 at 21:15
Positive integers written as $\binom{w}2+\binom{x}4+\binom{y}6+\binom{z}8$ with $w,x,y,z\in\{2,3,\ldots\}$
Awarded Apr 23, 2019 at 15:00
Diophantine equation $3^a+1=3^b+5^c$
Awarded Apr 22, 2019 at 4:40
Least quadratic residue under GRH: an explicit bound
Awarded Apr 8, 2019 at 8:40
$\pi$ in terms of polygamma
Awarded Oct 11, 2018 at 11:10
A remarkable almost-identity
Awarded Sep 5, 2018 at 23:15
Sum of divisors below threshold
Awarded Jul 17, 2018 at 16:45
Smooth sums of coprime smooth integers
Awarded Jul 17, 2018 at 16:45
Existence of imaginary quadratic fields of class numbers coprime to $p$ with prescribed splitting behaviour of $p$
Awarded Jul 17, 2018 at 16:45
$\pi((n+1)^2)-\pi(n^2) \le \pi(n)$ for all $n \ge 370$?
Awarded Jul 10, 2018 at 11:23
When does doubling the size of a set multiply the number of subsets by an integer?
Awarded Jul 8, 2018 at 9:59
Egyptian representations of $1$
Awarded May 23, 2018 at 23:33
Is every group an ideal class group of a number field?
Awarded May 11, 2018 at 20:21
A family of polynomials whose zeros all lie on the unit circle
Awarded May 7, 2018 at 7:18
Congruences Ramanujan-style
Awarded May 5, 2018 at 5:29
Primes of the form $x^2 + y^2 + 1$
Awarded Mar 4, 2018 at 8:19
Distribution of square roots mod 1
Awarded Feb 3, 2018 at 11:23
Gaps in Squarefree numbers
Awarded Jan 31, 2018 at 23:11
Zeros of MacLaurin polynomials for the exponential function
Awarded Jan 29, 2018 at 4:49
Sums of four coprime squares
Awarded Nov 28, 2017 at 19:54
A conjecture regarding prime numbers
Awarded Nov 26, 2017 at 19:04
Is there an explicit expression for Chebyshev polynomials modulo $x^r-1$?
Awarded Nov 22, 2017 at 2:11
Is this equivalent to RH - Riemann hypothesis?
Awarded Nov 6, 2017 at 12:23
Computational complexity of finding the smallest number with n factors
Awarded Nov 5, 2017 at 8:09
$L^1$ and $L^4$ norms of trigonometric polynomials
Awarded Oct 27, 2017 at 18:52
Derivation of certain sums "the hard way"
Awarded Oct 8, 2017 at 22:14
Sum of the divisor function over integers with restricted prime factors
Awarded Sep 26, 2017 at 20:29
Sets of unit fractions with sum $\leq 1$
Awarded Sep 14, 2017 at 12:54
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