Dear Math Forum,

For quite some time (years), I have been playing around with the divisor function (counting the number of divisors for a given integer). I created a 10 slide summary in the attached presentation.

Wave Divisor Function:

https://drive.google.com/open?id=1lByldG7EWxDsouec1EXBM2yPS88En0RG

I have been able to describe the divisor function with the help of waves (periodic functions). This wave description (now Re and Im) introduces an error in the (Re) solution. However, this error seems proportional to the mean divisor count.

With the described method, it might (maybe) be possible to numerically refine/determine the non-leading terms of the Divisor Summation

Every time I am working on this subject, I have the feeling this is an original way to look at the divisor function (as waves). I make up the idea that the discrete math can be expressed as waves and vice versa (analogue as quantum mechanics).

My wish and hope a mathematician has a look on the attached summary of my findings.

(My skills are too limited to continue any further.)

Vince

For quite some time (years), I have been playing around with the divisor function (counting the number of divisors for a given integer). I created a 10 slide summary in the attached presentation.

Wave Divisor Function:

https://drive.google.com/open?id=1lByldG7EWxDsouec1EXBM2yPS88En0RG

I have been able to describe the divisor function with the help of waves (periodic functions). This wave description (now Re and Im) introduces an error in the (Re) solution. However, this error seems proportional to the mean divisor count.

With the described method, it might (maybe) be possible to numerically refine/determine the non-leading terms of the Divisor Summation

Every time I am working on this subject, I have the feeling this is an original way to look at the divisor function (as waves). I make up the idea that the discrete math can be expressed as waves and vice versa (analogue as quantum mechanics).

My wish and hope a mathematician has a look on the attached summary of my findings.

(My skills are too limited to continue any further.)

Vince

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