Ingrid Vukusic (Salzburg): On sums of Fibonacci numbers with few binary digits

Abstract: We find all natural numbers which are representable as the sum of exactly two Fibonacci numbers and simultaneously as the sum of exactly five powers of two. In addition to complex linear forms in logarithms and the Baker-Davenport reduction method, we use p-adic versions of both tools. This is a joint work with Volker Ziegler.

Austrian-Hungarian Diophantine Number Theory seminar
link:
https://uni-salzburg.webex.com/uni-salzburg/j.php?MTID=med3988158a5534434530f37d3840ab0e