%0 Journal Article %T Crystal graphs, Tokuyama's theorem, and the Gindikin--Karpelevic formula for G_2 %A Holley Friedlander %A Louis Gaudet %A Paul E. Gunnells %J Mathematics %D 2014 %I arXiv %X We conjecture a deformation of the Weyl character formula for type G_2 in the spirit of Tokuyama's formula for type A. Using our conjecture we prove a combinatorial version of the Gindikin--Karpelevic formula for G_2, in the spirit of Bump--Nakasuji's formula for type A. %U http://arxiv.org/abs/1402.0411v1