Daniel Glasscock

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20162026

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2 citations · 4 across the 7 of their papers we have counts for

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math.NT2020

Additive and geometric transversality of fractal sets in the integers

Daniel Glasscock, Joel Moreira, Florian K. Richter

By juxtaposing ideas from fractal geometry and dynamical systems, Furstenberg proposed a series of conjectures in the late 1960's that explore the relationship between digit expans…

math.NT2018

A Khintchine-type theorem and solutions to linear equations in Piatetski-Shapiro sequences

Daniel Glasscock

Our main result concerns a perturbation of a classic theorem of Khintchine in Diophantine approximation. We give sufficient conditions on a sequence of positive real numbers $(ψ_n)…

math.NT2017

Norm forms represent few integers but relatively many primes

Daniel Glasscock

Norm forms, examples of which include $x^{2} + y^{2}$ , $x^{2} + x y - 57 y^{2}$ , and $x^{3} + 2 y^{3} + 4 z^{3} - 6 x y z$ , are integral forms arising from norms on number fields. We prove that…