With the advent of cloud storage and increase in transmission images through internet, images are more vulnerable to attacks of various hackers. A lot of private images are leaked from the cloud. Information security has become a major concern. Also, as the use of digital techniques for transmitting and storing images are increasing, it becomes an important… (More)
In this paper, we study the functional equation, f (x+y)f (x)f (y) = d sin x sin y. Some generalizations of the above functional equation are also considered.
We consider a cotangent sum related to Estermann's Zeta function. We provide an elementary and self-contained improvement of the error term in an asymptotic formula proved by V. I. Vasyunin.
In this paper, by the application of methods of weight functions and the use of analytic techniques, a multidimensional more accurate half-discrete Hilbert-type inequality with the kernel of the hyperbolic cotangent function is proved. We show that the constant factor related to the Riemann zeta function is the best possible. Equivalent forms as well as… (More)