Nuñez Alarcón, DPellegrino, DanielSeoane Sepúlveda, Juan Benigno2023-06-202023-06-2020130022-123610.1016/j.jfa.2012.10.013https://hdl.handle.net/20.500.14352/42546The search for sharp constants for inequalities of the type Littlewood's 4/3 and Bohnenblust-Hille has lately shown unexpected applications in many fields such as Analytic Number Theory, Quantum Information Theory, or in results on n-dimensional Bohr radii. Recent estimates obtained for the multilinear Bohnenblust-Hille inequality (for real scalars) have been used, as a crucial tool, by A. Montanaro in order to solve problems in Quantum XOR games. Here, among other results, we obtain new upper bounds for the Bohnenblust-Hille constants (for complex scalars). For bilinear forms, we provide optimal constants of variants of Littlewood's 4/3 inequality (for real scalars) when the exponent 4/3 is replaced by any r >= 4/3. We also prove that the optimal constants in real case are always strictly greater than those from the complex case.engjournal articlehttp://www.sciencedirect.com/science/article/pii/S0022123612003886http://www.sciencedirect.comhttp://arxiv.org/pdf/1203.3043v4.pdfrestricted access530.1Bohnenblust–Hille TheoremLittlewood’s 4/3 inequalitySteinhaus random variablesFísica matemática