Bounds for Dirichlet polynomials play an important role in several questions connected to the distribution of primes. For example, they can be used to bound the number of zeroes of the Riemann zeta function in vertical strips, which is relevant to the distribution of primes in short intervals. A Dirichlet polynomial is a trigonometric polynomial of the form$D(t) = \sum_{n = N}^{2N} b_n n^{it}$