TITLE: Short research articles
QUESTION [12 upvotes]: I am a masters student. I am  interested in short articles which have counter examples and very few references. I want to write a short and interesting article.
For example; One of the best known shortest and best academic paper articles I read is Counterexample to Euler's Conjecture on Sums of  Like Powers  by L. J. Lander and T. R. Parkin (Bull. Amer. Math. Soc. 72 (1966) p 1079, doi:10.1090/S0002-9904-1966-11654-3).
It has only one reference. It's really fascinating.
Is there any short articles in Mathematics and especially in Analysis/Complex Analysis? I am  also looking at Counterexamples books for learning something and I searched open problems in Wikipedia and looked at undiscovered, newly valued and current topics.
So can you share these type of articles you read? I am curious about a good and interesting short article topic. What do you recommend to me about it? You can also give some references.** Thanks for your ideas and answers.**

REPLY [8 votes]: For counterexamples in analysis, a good start would be "Counterexamples in Analysis" by Gelbaum and Olmsted, there's even a Dover edition.