Are there other types of arithmetic operations besides addition, multiplication and exponentiation? The following ideas were developed in collaboration with the physicist Adil Bulus and describe some field constructions that enable a ‘seamless’ transition between different types of arithmetic operations. The original works by Adil Bulus can be found on the website https://www.mathematische-notizen.de. Go to…

## animation of the Riemann Zeta function

A video animation of the Riemann Zeta function. The function values along the critical straight line with real part 1/2 are marked in blue:

## Dance of the Zeta A-points

A-points of the zeta function: A generalization of the zeros of the zeta function The solutions of equation are generally referred to as A-points of the zeta function. A-points therefore represent a generalization of the zeros of the zeta function. The special case of applies to the ‘normal’ zeros of the zeta function. The following…

## New supplements for the book

Here are the newest supplements for the book “prime numbers- things long-known and things new-found”: (as of April 20, 2020) Download (pdf)

## Where is the next Mersenne prime number?

If you want to know where the next Mersenne prime number might be, then you could find it here

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