Cakiroglu, YagmurYayla, OguzYilmaz, Emrah SercanMathematics2024-07-052024-07-0520220925-10221573-758610.1007/s10623-022-01088-22-s2.0-85135858517https://doi.org/10.1007/s10623-022-01088-2https://hdl.handle.net/20.500.14411/2435YAYLA, Oguz/0000-0001-8945-2780We present the formula for the number of monic irreducible polynomials of degree n over the finite field F-q where the coefficients of x(n)(-1) and x vanish for n >= 3. In particular, we give a relation between rational points of algebraic curves over finite fields and the number of elements a is an element of F-qn for which Trace(a) = 0 and Trace(a(-1)) = 0.eninfo:eu-repo/semantics/closedAccessIrreducible polynomialsFinite fieldsTrace functionAlgebraic curvesArticleQ2901024072417WOS:0008379561000040