But it’s the functional equation that sets the stage for focusing on zeroes of the Riemann zeta function with Re ( s) = 1 / 2 … and then the Riemann Hypothesis! So it’s worth thinking about. Hope ...
In this article we will study the spectral properties of a deterministic signal exponentially damped in the past and in the future (the damping in the future is controlled by a time constant). The ...
The Riemann Hypothesis is one of seven unsolved “Millennium Prizes" from the Clay Mathematics Institute of Cambridge and has promised an award worth $1 million to the person who solves it. A Hyderabad ...
This article is more than 8 years old. So what? Riemann was interested in the distribution of prime numbers and he discovered a formula for the number of primes less than or equal to a given integer ...
It was a good week for physics research as a team from Virginia Tech made a heat discovery that expanded on an 18th-century principle involving ice placed on a hot surface—Jonathan Boreyko and Mojtaba ...
Universality theorems occupy a central role in analytic number theory, demonstrating that families of analytic functions—including the prototypical Riemann zeta-function—can approximate an extensive ...
Numbers like π, e and φ often turn up in unexpected places in science and mathematics. Pascal’s triangle and the Fibonacci sequence also seem inexplicably widespread in nature. Then there’s the ...