GH from MO's user avatar
GH from MO's user avatar
GH from MO's user avatar
GH from MO
  • Member for 13 years, 3 months
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8 votes
Accepted

consecutive prime gaps and explicit bound

8 votes

On the Diophantine equation $x^{4}+y^{4}=z^p$

8 votes
Accepted

Union of random intervals with total length equal to infinity

8 votes
Accepted

Prove $\int_0^{\infty}{\frac{1}{e^{sx}\sqrt{1+s^2}}}ds < \arctan\left(\frac1x\right),\quad\forall x\ge1$

8 votes
Accepted

On the solvability of the congruence $p^m\equiv m\pmod{n}$

8 votes
Accepted

Is the following weak version of second Hardy-Littlewood conjecture already known?

8 votes
Accepted

The sign of an interesting sum involving a Dirichlet character

8 votes

Are there major research areas in math? Or is it a lot of individual efforts?

8 votes
Accepted

Sum over reciprocal of primes times coefficient

8 votes
Accepted

Numbers divisible by precisely the same set of primes

8 votes
Accepted

Noninteger moments of the divisor function

8 votes
Accepted

Representation of integers by principal binary quadratic forms

8 votes

Express an integer as ac + bd

8 votes
Accepted

Difference between $n$-th and $(n-1)$-th composite numbers

8 votes

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

8 votes
Accepted

Sums of Legendre symbols with integer-valued polynomials

8 votes
Accepted

Analytic continuation and convergence of a Riemann zeta related function

8 votes
Accepted

How many non principal prime ideals does a number field contain?

8 votes
Accepted

A boundary behaviour of holomorphic functions

8 votes

An integral identity

8 votes
Accepted

Rational characters of a number field are powers of norm

8 votes
Accepted

Primality test for $N=4p+1$

8 votes
Accepted

A possible error in Elliot's book "Probabilistic Number Theory"

8 votes
Accepted

Analytic function on $\mathbb{C}$

8 votes

Asymptotics on sum of n/rad(n)

8 votes
Accepted

Prime factors bounded by $k$

8 votes
Accepted

Abscissa of convergence of the $\tau$ Dirichlet series

8 votes
Accepted

Upper bound for the $n$-th derivative of a rational function $\frac{f}{f+g}$

8 votes
Accepted

Does the limit of $x_n$, defined by $x_{n+1}=1/(m+1-nx_n)$ exist?

8 votes
Accepted

Explicit bounds on number of primes of given size

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