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              <text>This article builds on existing analyses of Elizabethan and Jacobean witchcraft pamphlets by situating them within broader anti-Catholic literature. Beginning by outlining the basis for witchcraft trials in England and ongoing debates among scholars regarding the definition of witchcraft, the motivation of trials and the link between anti-Catholicism and the supernatural, the article argues that witchcraft pamphlets were, at times, used to express anti-Catholic sentiment. It focuses mainly on 6 pamphlets published between 1566 and 1621. Through references to Catholic priests, Latin prayers, the Papacy and the protection against the Devil offered by ‘true’ faith, the pamphlets warn of the threat of Catholicism and assert its heretical and treasonous nature in contrast to the righteousness of Protestant faith. </text>
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              <text>Named after Diophantus of Alexandria, Diophantine approximation is a field in number theory that studies how well real numbers can be approximated by rational numbers. In 1984 Mahler presented eight problems in transcendental number theory and Diophantine approximation. One of these problems posed the questions, ‘how well can irrationals in the middle third Cantor set be approximated by rationals in the middle third Cantor set?’ and ‘how well can irrationals in the middle third Cantor set be approximated by rationals not in the middle third Cantor set?’. This problem serves as the inspiration for this paper. The middle third Cantor set can be described as a missing digit set of base 3, which motivates our study of missing digit sets. In this paper, we will address the following related question, `How well can irrationals in a missing digit set be approximated by rationals with polynomial denominators?' and prove some related results. To achieve this, we will be closely looking at Khintchine's theorem, particularly the convergence case and aim to prove a Khintchine-like convergence theorem for missing digit sets with large bases and rationals with polynomial denominators.</text>
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