%0 Journal Article %A Jiménez Rodríguez, P. %A Muñoz-Fernández, Gustavo A. %A Murillo Arcila, M. %A Seoane Sepúlveda, Juan Benigno %T Sharp values for the constants in the polynomial Bohnenblust-Hille inequality. %D 2015 %@ 1563-5139 %U https://hdl.handle.net/20.500.14352/35033 %X In this paper we prove that the complex polynomial Bohnenblust-Hille constant for 2-homogeneous polynomials in C2 is exactly 4q 3 2 . We also give the exact value of the real polynomial Bohnenblust-Hille constant for 2-homogeneous polynomials in R2. Finally, we provide lower estimates for the real polynomial Bohnenblust-Hille constant for polynomialsin R2 of higher degrees. %~