@article {Hưng2014251,
	title = {On the vanishing of the Lannes{\textendash}Zarati homomorphism},
	journal = {Comptes Rendus Mathematique},
	volume = {352},
	number = {3},
	year = {2014},
	pages = {251 - 254},
	abstract = {Abstract The conjecture on spherical classes states that the Hopf invariant one and the Kervaire invariant one classes are the only elements in H ⁎ ( Q 0 S 0 ) belonging to the image of the Hurewicz homomorphism. The Lannes{\textendash}Zarati homomorphism is a map that corresponds to an associated graded (with a certain filtration) of the Hurewicz map. The algebraic version of the conjecture predicts that the s-th Lannes{\textendash}Zarati homomorphism vanishes in any positive stems for s \&gt; 2 . In the article, we prove the conjecture for the fifth Lannes{\textendash}Zarati homomorphism.},
	issn = {1631-073X},
	doi = {http://dx.doi.org/10.1016/j.crma.2014.01.013},
	url = {http://www.sciencedirect.com/science/article/pii/S1631073X14000351},
	author = {Hưng, Nguy{\^e}n H. V and V{\~o} T.N. Quynh and Ng{\^o} A. Tuấn}
}
