30 citations · 110 across the 33 of their papers we have counts for
5 papers · 1 filter
Squarefrees are Gaussian in short intervals
Ofir Gorodetsky, Alexander P. Mangerel, Brad Rodgers
We show that counts of squarefree integers up to in short intervals of size tend to a Gaussian distribution as long as and . This answers…
Sums of two squares are strongly biased towards quadratic residues
Ofir Gorodetsky
Chebyshev famously observed empirically that more often than not, there are more primes of the form up to than of the form . This was confirmed theoretic…
The variance of integers without small prime factors in short intervals
Ofir Gorodetsky
The variance of primes in short intervals relates to the Riemann Hypothesis, Montgomery's Pair Correlation Conjecture and the Hardy--Littlewood Conjecture. In regards to its asympt…
Magic squares, the symmetric group and Möbius randomness
Ofir Gorodetsky
Diaconis and Gamburd computed moments of secular coefficients in the CUE ensemble. We use the characteristic map to give a new combinatorial proof of their result. We also extend t…
New representations for all sporadic Apéry-like sequences, with applications to congruences
Ofir Gorodetsky
We find new representations, in terms of constant terms of powers of Laurent polynomials, for all the 15 sporadic Ap{é}ry-like sequences discovered by Zagier, Almkvist-Zudilin and…