We obtain upper bounds for mixed exponential sums of the type S(χ, f, pm) = ∑pm x=1 χ(x)epm (ax n+bx) where pm is a prime power with m ≥ 2 and χ is a multiplicative character (mod pm). If χ is primitive or p (a, b) then we obtain |S(χ, f, pm)| ≤ 2np 2 3 . If χ is of conductor p and p (a, b) then we get the stronger bound |S(χ, f, pm)| ≤ npm/2.

For a finite commutative ring R, let a,b,c∈R be fixed elements. Consider the equation ax+by=cz where x, y, and z are idempotents, units, any element in respectively. We say that R satisfies r-monochromatic clean condition if, for r-colouring χ of elements there exist x,y,z∈R with χ(x)=χ(y)=χ(z) such holds. define m(a,b,c)(R) to least positive integer r does not satisfy condition. This means exi...

زمینه و هدف: هدف از پژوهش حاضر بررسی تأثیر تمرینات ترکیبی بر سطح استراحتی پنتراکسین3 (PTX3) سرم آمیلوئید A(SAA) پلاسمای مردان مبتلا به دیابت نوع دو بود تا بدین‌وسیله، ورزش کاهش عوامل التهابی فوق در افراد دیابتی سنجیده شود.مواد روش‌ها: ۲۰ مرد غیرورزشکار دو، تصادفی گروه کنترل تمرین توزیع شدند. مدت شش هفته شامل 25-35 دقیقه هوازی با شدت 55-75 درصد ضربان قلب بیشینه پنج حرکت مقاومتی دربرگیرندة عضلات ...

BACKGROUND To compare mental health and well-being in different levels of the perceived discrimination among Iranian people living in Tehran. METHOD Using multi-stage sampling, 1255 subjects with the average age of 45 years and 9 months (including 672 women and 583 men) were selected and they completed all items of the general health questionnaire (GHQ), the social well-being inventory (SWI),...

PURPOSE This study was done to determine the risk factors for recurrent fallers (2+falls) compared to single fallers. METHODS Participants were 104 community-dwelling people 65 yr of age or older. The data were collected from June 1, 2008 to June 30, 2009 using the Residential Assessment Instrument-Home Care. RESULTS Over the past 90 days, 55.7% of the 104 participants fell once, and 44.2% ...