primesieves for quadratic polynomials

bhelmes · 2018-09-17, 19:28

A peaceful and pleasant evening for all persons,

i wrote a small book on english about primesieves for quadratic polynomials.
For those people who like prime generating functions, number theory and programming:

http://devalco.de/quadratic_prime_sieves.pdf

Comments, feedback and improvements are welcome.

Have a lot of fun by reading the book.

Bernhard

bhelmes · 2018-10-26, 21:47

A peaceful and pleasant night for everyone,

it would be a nice sign for me, if there is a little bit feedback
about my little book.

It is autumn in Germany and the weather is not so pleasant,
i miss a little bit the sun and the primes.

Greetings from the algebraic numbers,

Bernhard

CRGreathouse · 2018-10-26, 22:18

Bernhard, I have downloaded and printed your book (actually, the day you announced it here) but not yet read it. I am finding my time consumed by my new responsibilities as a father as of this September.

I hope to read at least parts of it, and that when I do I will find it lucid and enlightening.

science_man_88 · 2018-10-26, 22:54

Quote:

Originally Posted by CRGreathouse

Bernhard, I have downloaded and printed your book (actually, the day you announced it here) but not yet read it. I am finding my time consumed by my new responsibilities as a father as of this September.

I hope to read at least parts of it, and that when I do I will find it lucid and enlightening.

I skimmed it but had too many mispellings and less latex than I felt was needed for consistency. might make my own slightly different version with the editor I have and see what comes of it.

CRGreathouse · 2018-10-27, 01:13

Quote:

Originally Posted by science_man_88

I skimmed it but had too many mispellings and less latex than I felt was needed for consistency. might make my own slightly different version with the editor I have and see what comes of it.

If you have thoughts, notes, or a rework as you describe, post them (maybe here) -- they might help me or others follow the work better.

science_man_88 · 2018-10-27, 01:27

Quote:

Originally Posted by CRGreathouse

If you have thoughts, notes, or a rework as you describe, post them (maybe here) -- they might help me or others follow the work better.

^ is used a lot, and isn't put in math mode most of the time.

I is often uncapitalized.

A few basic spelling differences from English.

The quote of Shanks, has a typo it seems.

The reused equations could be stored once in new commands, and called when needed.

code could be bolded, or use a syntax highlighting package like lstlist; I believe MuPad is supported. Code takes up 19 of the 70 pages before references ( aka ~27%).

science_man_88 · 2018-10-29, 15:43

Quote:

Originally Posted by science_man_88

^ is used a lot, and isn't put in math mode most of the time.

I is often uncapitalized.

A few basic spelling differences from English.

The quote of Shanks, has a typo it seems.

The reused equations could be stored once in new commands, and called when needed.

code could be bolded, or use a syntax highlighting package like lstlist; I believe MuPad is supported. Code takes up 19 of the 70 pages before references ( aka ~27%).

Okay may have to condense it. My LaTeX writing app uses a site, and it complains about it it seems. Though to be honest, I don't agree with the claim of all factors being of form $2n^2-1$

bhelmes · 2018-10-29, 16:26

Quote:

Originally Posted by science_man_88

Though to be honest, I don't agree with the claim of all factors being of form $2n^2-1$

All factors f | 2n²-1, this polynomial builds a mathematical ring,
if f(n)|2n²-1then (2n²-1) / f(n) is of the form 2m²-1 or equal 1

Greetings
Bernhard

science_man_88 · 2018-10-29, 23:46

Quote:

Originally Posted by bhelmes

All factors f | 2n²-1, this polynomial builds a mathematical ring,
if f(n)|2n²-1then (2n²-1) / f(n) is of the form 2m²-1 or equal 1

Greetings
Bernhard

okay I misinterpretted it, but I got past my earlier limitation, turns out you can't forget the braces on a blank section call.

science_man_88 · 2018-11-22, 18:45

I failed to work on it much so here's the garbage I have.

bhelmes · 2018-11-26, 23:57

Quote:

Originally Posted by science_man_88

I failed to work on it much so here's the garbage I have.

Are you sure that this was the latest paper, you worked on ?

It is sometimes amazing how much mathematical work is blowing in the cold and fresh winter air.

Besides it is not the actual missing response which makes me some headache, i am afraid that my mathematical progress is not convincing other.

2018-09-17, 19:28	#1
bhelmes Mar 2016 159₁₆ Posts	primesieves for quadratic polynomials A peaceful and pleasant evening for all persons, i wrote a small book on english about primesieves for quadratic polynomials. For those people who like prime generating functions, number theory and programming: http://devalco.de/quadratic_prime_sieves.pdf Comments, feedback and improvements are welcome. Have a lot of fun by reading the book. Bernhard Last fiddled with by bhelmes on 2018-09-17 at 19:44

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2018-10-26, 21:47	#2
bhelmes Mar 2016 3×5×23 Posts	A peaceful and pleasant night for everyone, it would be a nice sign for me, if there is a little bit feedback about my little book. It is autumn in Germany and the weather is not so pleasant, i miss a little bit the sun and the primes. Greetings from the algebraic numbers, Bernhard

2018-10-26, 22:18	#3
CRGreathouse Aug 2006 3·1,993 Posts	Bernhard, I have downloaded and printed your book (actually, the day you announced it here) but not yet read it. I am finding my time consumed by my new responsibilities as a father as of this September. I hope to read at least parts of it, and that when I do I will find it lucid and enlightening.