A class of fractional part integrals and zeta function values
O Furdui - Integral Transforms and Special Functions, 2013 - Taylor & Francis
Integral Transforms and Special Functions, 2013•Taylor & Francis
The paper is about calculating a special class of fractional part integrals of the form where n
is a positive integer and< texlscub> x denotes the fractional part of x. We show that these
integrals can be expressed as rational linear combination of Riemann zeta function values
and a series involving the difference of two zeta function values of consecutive integers.
is a positive integer and< texlscub> x denotes the fractional part of x. We show that these
integrals can be expressed as rational linear combination of Riemann zeta function values
and a series involving the difference of two zeta function values of consecutive integers.
The paper is about calculating a special class of fractional part integrals of the form where n is a positive integer and<texlscub>xtexlscub>denotes the fractional part of x. We show that these integrals can be expressed as rational linear combination of Riemann zeta function values and a series involving the difference of two zeta function values of consecutive integers.
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