Interlando, J. CarmeloNobrega Neto, Trajano Pires da [UNESP]Rodrigues, Tatiana Miguel [UNESP]Dantas Lopes, Jose Othon2015-10-212015-10-212015-05-01Journal Of Algebra And Its Applications. Singapore: World Scientific Publ Co Pte Ltd, v. 14, n. 4, 9 p., 2015.0219-4988http://hdl.handle.net/11449/128862Let m >= 3 be an integer, zeta(m) is an element of C a primitive mth root of unity, and K-m the cyclotomic field Q(zeta(m)). An explicit description of the integral trace form Tr-Km/Q(x (x) over bar)vertical bar Z[zeta(m)] where (x) over bar is the complex conjugate of x is presented. In the case where m is prime, a procedure for finding the minimum of the form subject to x being a nonzero element of a certain Z- module in Z[zeta(m)] is presented.9engCyclotomic fieldsintegral trace formsminima of formsArtigo10.1142/S0219498815500450WOS:000349684300003Acesso restrito9245978997902109