Joni Teravainen

activity

20212026

most citedAlmost all alternating groups are invariably generated by two elements of prime order

4 citations · 9 across the 12 of their papers we have counts for

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Showing 2022Show all

3 papers · 1 filter

math.NT2022

The Exceptional Set in Goldbach's Problem with Almost Twin Primes

Lasse Grimmelt, Joni Teräväinen

We consider the exceptional set in the binary Goldbach problem for sums of two almost twin primes. Our main result is a power-saving bound for the exceptional set in the problem of…

math.NT2022★ 3 cited

Almost primes in almost all short intervals II

Kaisa Matomäki, Joni Teräväinen

We show that, for almost all $x$ , the interval $(x, x + (lo g x)^{2.1}]$ contains products of exactly two primes. This improves on a work of the second author that had $3.51$ in plac…

math.GR2022★ 4 cited

Almost all alternating groups are invariably generated by two elements of prime order

Joni Teräväinen

We show that for all $n \leq X$ apart from $O (X exp (- c (lo g X)^{1/2} (lo g lo g X)^{1/2}))$ exceptions, the alternating group $A_{n}$ is invariably generated by two elements of prime o…