growth of arithmetic functions

We study for bounded multiplicative functions f $f$ sums of the form ∑ n ⩽ x ≡ a ( mod q ) , $$\begin{align*} \hspace*{7pc}\sum _{\substack{n\leqslant x\\ n\equiv a\ (\mathrm{mod}\ q)}}f(n), \end{align*}$$ establishing that their variance over residue classes $a \ q)$ is small as soon = o $q=o(x)$ almost all moduli $q$ with nearly power-saving exceptional set . This improves and generalizes pre...

متن کامل

fragmentability and approximation

پایان نامه :وزارت علوم، تحقیقات و فناوری - دانشگاه فردوسی مشهد - دانشکده علوم 1376

علیرضا کامل میرمصطفایی, اسدالله نیکنام,

in chapter 1, charactrizations of fragmentability, which are obtained by namioka (37), ribarska (45) and kenderov-moors (32), are given. also the connection between fragmentability and its variants and other topics in banach spaces such as analytic space, the radone-nikodym property, differentiability of convex functions, kadec renorming are discussed. in chapter 2, we use game characterization...

15 صفحه اول

نمودار تعداد نتایج جستجو در هر سال

با کلیک روی نمودار نتایج را به سال انتشار فیلتر کنید