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==Background== Ahlfors was born in [[Helsinki, Finland]].<ref name="Obit">{{cite news |title=Lars V. Ahlfors, Mathematician Who Won First Fields Medal; 89 |url=https://www.newspapers.com/clip/107571003/lars-ahlfors-1907-1996/ |work=The Boston Globe |date=October 17, 1996 |location=Boston, MA |page=87 |accessdate=August 14, 2022 |via=[[Newspapers.com]]}} {{Open access}}</ref><ref name="Obit2">{{cite news |title=Lars Ahlfors, Leading Mathematician in Complex Analysis, Dies at 89 |url=https://www.newspapers.com/clip/107574120/lars-ahlfors-1907-1996/ |work=The Fresno Bee |date=October 23, 1996 |location=Fresno, CA |page=42 |accessdate=August 14, 2022 |via=[[Newspapers.com]]}} {{Open access}}</ref> His mother, Sievä Helander, died at his birth. His father, Axel Ahlfors, was a professor of engineering at the [[Helsinki University of Technology]]. The Ahlfors family was [[Swedish-speaking Finns|Swedish-speaking]], so he first attended the private school [[Nya svenska samskolan]] where all classes were taught in Swedish. Ahlfors studied at [[University of Helsinki]] from 1924, graduating in 1928 having studied under [[Ernst Lindelöf]] and [[Rolf Nevanlinna]].<ref name="Obit"/> He assisted Nevanlinna in 1929 with his work on [[Denjoy–Carleman–Ahlfors theorem|Denjoy's conjecture]] on the number of asymptotic values of an [[entire function]]. In 1929 Ahlfors published the first proof of this conjecture, now known as the Denjoy–Carleman–Ahlfors theorem.<ref>{{Cite book |last=Ahlfors |first=Lars Valerian |url=https://books.google.com/books?id=CiXWCgAAQBAJ&dq=Denjoy%E2%80%93Carleman%E2%80%93Ahlfors+theorem&pg=PA148 |title=Analytic Functions |date=2015-12-08 |publisher=Princeton University Press |isbn=978-1-4008-7670-9 |language=en}}</ref> It states that the number of asymptotic values approached by an entire function of order ρ along curves in the [[complex plane]] going toward infinity is less than or equal to 2ρ. He completed his doctorate from the University of Helsinki in 1930.
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