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20122017

most citedDirichlet's theorem and Jacobsthal's function

1 citations · 1 across the 5 of their papers we have counts for

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math.NT2017

Finite searches, Chowla's cosine problem, and large Newman polynomials

Idris Mercer

A length $n$ cosine sum is an expression of the form $cos a_{1} θ + \dots + cos a_{n} θ$ where $a_{1} < \dots < a_{n}$ are positive integers, and a length $n$ Newman polynomial is an expr…

math.NT2017★ 1 cited

Dirichlet's theorem and Jacobsthal's function

Idris Mercer

If $a$ and $d$ are relatively prime, we refer to the set of integers congruent to $a$ mod $d$ as an `eligible' arithmetic progression. A theorem of Dirichlet says that every eligib…