Titlebook: Women in Numbers Europe IV; Research Directions Ramla Abdellatif,Valentijn Karemaker,Lejla Smajlov Book 2024 The Editor(s) (if applicable)

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Sums of Proper Divisors with Missing Digits,gers with asymptotic density zero, then . also has asymptotic density zero. In this chapter we show that the EGPS conjecture holds when . is taken to be a set of integers with missing digits. In particular, we give a sharp upper bound for the size of this preimage set. We also provide an overview of

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Power Values of Power Sums: A Survey,(computational) number theory in recent years. In this survey, we present the key tools and techniques employed thus far in the (explicit) resolution of Diophantine problems, as well as an overview of existing results. We also state some open problems that naturally arise in the process.

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Book 2024n this volume arises from or is connected with the Women in Numbers Europe (WiNE) IV conference held in summer 2022 in Utrecht, The Netherlands.?.The contents of this volume are of interest to professional mathematicians, graduate students, and researchers working in number theory, arithmetic geomet