Estimates of convolutions of certain number-theoretic error terms

Estimates of convolutions of certain number-theoretic error terms

Several estimates for the convolution function C[f (x)] := x 1 f (y)f (x/y)(dy/y) and its iterates are obtained when f (x) is a suitable number-theoretic error term. We deal with the case of the asymptotic formula for T 0 |ζ(1/2 + it)| 2k dt (k = 1, 2), the general Dirichlet divisor problem, the problem of nonisomorphic Abelian groups of given order, and the Rankin-Selberg convolution. 1. Convo...

Convolutions and Mean Square Estimates of Certain Number-theoretic Error Terms

We study the convolution function

Ergodic-theoretic Properties of Certain Bernoulli Convolutions

In [17] the author and A. Vershik have shown that for β = 1 2 (1 + √ 5) and the alphabet {0, 1} the infinite Bernoulli convolution (= the Erdös measure) has a property similar to the Lebesgue measure. Namely, it is quasi-invariant of type II1 under the β-shift, and the natural extension of the β-shift provided with the measure equivalent to the Erdös measure, is Bernoulli. In this note we exten...

a study of translation of english litrary terms into persian

چکیده هدف از پژوهش حاضر بررسی ترجمه ی واژه های تخصصی حوزه ی ادبیات به منظور کاوش در زمینه ی ترجمه پذیری آنها و نیز راهکار های به کار رفته توسط سه مترجم فارسی زبان :سیامک بابایی(1386)، سیما داد(1378)،و سعید سبزیان(1384) است. هدف دیگر این مطالعه تحقیق در مورد روش های واژه سازی به کار رفته در ارائه معادل های فارسی واژه های ادبی می باشد. در راستای این اهداف،چارچوب نظری این پژوهش راهکارهای ترجمه ار...

On the Complexity of Certain Algebraic and Number Theoretic Problems