Axis Journal of Mathematical Statistics and Modelling
A Langland Bridge Between Analysis and Number Theory
Abstract
Jacqueline Wotzel
Langland promised more opportunities for insights and solutions from the connections of different areas of mathematics. In the following, a relation between analysis and number theory is used to describe the distribution of prime numbers. An important point here is the possibility of using mathematical operators that allow a general representation of the mechanisms. Therefore, some additions to the terminology are made, which can be regarded as suggestions. With the help of algebra, the possibility of confirming Goldbach's conjecture has already been demonstrated, although the factorisation of each number occurring in the prime series has so far only been examined in detail for the numbers 5 and 7. For Goldbach's conjecture, the differences between any natural numbers and the next smallest prime number are considered. These differences should be less than 27 so that each number can be decomposed into a maximum of three summands of prime numbers.