Ostrovskll, I. V.2019-02-052019-02-0520010278-1077http://hdl.handle.net/11693/48870It has been shown by the author that, if all remainders of the power series of an entire function f have only real positive zeros, then log M(r, f) = O((1og r)'), r -+ ca. The main results of the paper are the following: (i) if at least two different remainders have only real positive zeros, then logM(r,f) = O(fi, r+ ca; (ii) this estimate cannot be improved even in the case if one replaces two by any given finite number of remainders.EnglishAngular zero distributionEntire functionPower seriesRemainderArticle10.1080/174769301088153281563-5066