The Fekete-szegö Theorem with Splitting Conditions, on Algebraic Curves
نویسنده
چکیده
We prove the Fekete-Szegö Theorem with splitting conditions for adelic sets on a smooth, connected algebraic curve defined over a number field.
منابع مشابه
The Fekete – Szegő theorem with splitting conditions : Part
A classical theorem of Fekete and Szegő [4] says that if E is a compact set in the complex plane, stable under complex conjugation and having logarithmic capacity γ(E) ≥ 1, then every neighborhood of E contains infinitely many conjugate sets of algebraic integers. Raphael Robinson [5] refined this, showing that if E is contained in the real line, then every neighborhood of E contains infinitely...
متن کاملOn the Fekete-szegö Problem for Some Subclasses of Analytic Functions
In this present investigation, the authors obtain Fekete-Szegö’s inequality for certain normalized analytic functions f(z) defined on the open unit disk for which zf ′(z)+αz2f ′′(z) (1−α)f(z)+αzf ′(z) (α ≥ 0) lies in a region starlike with respect to 1 and is symmetric with respect to the real axis. Also certain applications of the main result for a class of functions defined by convolution are...
متن کاملOn the Fekete-Szegö inequality for a class of analytic functions defined by using the generalized Sălăgean operator
In this paper we obtain the Fekete-Szegö inequality for a class of analytic functions f(z) defined in the open unit disk for which
متن کاملOn Fekete-Szegö Problems for Certain Subclass of Analytic Functions
The purpose of the present paper is to derive the Fekete-Szegö inequality for the class , ( ) s M of normalized analytic functions ( ) f z defined on the open unit disk for which , , ( ( )) ' ( ) s s z f z f z lies in a region starlike with respect to 1 and symmetric with respect to the real axis.
متن کاملFekete-szegö Inequalities for Certain Subclasses of Starlike and Convex Functions of Complex Order Associated with Quasi-subordination
In this paper, we find Fekete-Szegö bounds for a generalized class M q (γ, φ). Also, we discuss some remarkable results.
متن کامل