Using a relationship derived from a special case of DeMoivre's Theorem, we can express the sine and cosine functions as infinite series of generalized binomial coefficients. We will derive these ...

In the paper, the authors present several inequalities for bounding the sums of two sine cardinal functions and the sums of two hyperbolic sine cardinal functions. These inequalities improve ...

Partition functions, which enumerate the distinct ways a positive integer may be expressed as a sum of positive integers, have long captivated mathematicians due to their deep connections with number ...

Analytic number theory occupies a central place in modern mathematics by employing analytical techniques to address questions surrounding the distribution of prime numbers and the behaviour of ...