The Sidon constant for homogeneous polynomials Export

@article{citeulike:4161807, abstract = {The Sidon constant for the index set of nonzero m-homogeneous polynomials P in n complex variables is the supremum of the ratio between the l^1 norm of the coefficients of P and the supremum norm of P in D^n. We present an estimate which gives the right order of magnitude for this constant, modulo a factor depending exponentially on m. We use this result to show that the Bohr radius for the polydisc D^n is bounded from below by a constant times sqrt((log n)/n).}, archivePrefix = {arXiv}, author = {Ortega-Cerd\&\#xe0;, Joaquim and Ouna\&\#xef;es, Myriam and Seip, Kristian}, citeulike-article-id = {4161807}, citeulike-linkout-0 = {http://arxiv.org/abs/0903.1455}, citeulike-linkout-1 = {http://arxiv.org/pdf/0903.1455}, day = {8}, eprint = {0903.1455}, keywords = {commutative\_algebra, complex\_analysis, inequalities, root\_location}, month = {Mar}, posted-at = {2009-03-10 17:17:01}, priority = {3}, title = {The Sidon constant for homogeneous polynomials}, url = {http://arxiv.org/abs/0903.1455}, year = {2009} }

TY - JOUR ID - citeulike:4161807 L3 - citeulike-article-id:4161807 N2 - The Sidon constant for the index set of nonzero m-homogeneous polynomials P in n complex variables is the supremum of the ratio between the l^1 norm of the coefficients of P and the supremum norm of P in D^n. We present an estimate which gives the right order of magnitude for this constant, modulo a factor depending exponentially on m. We use this result to show that the Bohr radius for the polydisc D^n is bounded from below by a constant times sqrt((log n)/n). TI - The Sidon constant for homogeneous polynomials KW - commutative_algebra KW - complex_analysis KW - inequalities KW - root_location AU - Ortega-Cerdà, Joaquim AU - Ounaïes, Myriam AU - Seip, Kristian PY - 2009/Mar/08/ UR - http://arxiv.org/abs/0903.1455 ER -