mersenneforum.org  

Go Back   mersenneforum.org > Search Forums

Showing results 1 to 4 of 4
Search took 0.00 seconds.
Search: Posts Made By: bhelmes
Forum: Number Theory Discussion Group 2021-07-09, 20:32
Replies: 9
Views: 2,338
Posted By bhelmes
@Nick, thanks a lot for your work and help. ...

@Nick, thanks a lot for your work and help.

an useful implementation in c and gmp of tonelli-shanks algorithm is:
http://www.codecodex.com/wiki/Shanks-Tonelli_algorithm


Let :...
Forum: Number Theory Discussion Group 2021-07-08, 21:18
Replies: 9
Views: 2,338
Posted By bhelmes
Let an²+bn+c = 0 mod p If I want to...

Let an²+bn+c = 0 mod p

If I want to calculate the discriminant,
can I first calculate a*=a mod p, b*=b mod p and c*=c mod p
and then discr=(b*)²-4a*c* ?
Forum: Number Theory Discussion Group 2021-07-07, 02:56
Replies: 9
Views: 2,338
Posted By bhelmes
I did not understand how to find the square of...

I did not understand how to find the square of the discriminant b²-4ac mod 4an.
b²-4ac is a quadratic residue, but not always a square.
:loco:
Forum: Number Theory Discussion Group 2021-07-05, 19:24
Replies: 9
Views: 2,338
Posted By bhelmes
an²+bn+c = 0 mod p

Let f(n)=an²+bn+c = 0 mod p
with n element of N and p prime.
n=?

Is there a better way than calculating f(n) for n=0 ...p-1

Thanks if you spend me some lines.
Showing results 1 to 4 of 4

 
All times are UTC. The time now is 20:18.


Sat Jan 28 20:18:33 UTC 2023 up 163 days, 17:47, 0 users, load averages: 1.17, 1.16, 1.10

Powered by vBulletin® Version 3.8.11
Copyright ©2000 - 2023, Jelsoft Enterprises Ltd.

This forum has received and complied with 0 (zero) government requests for information.

Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation.
A copy of the license is included in the FAQ.

≠ ± ∓ ÷ × · − √ ‰ ⊗ ⊕ ⊖ ⊘ ⊙ ≤ ≥ ≦ ≧ ≨ ≩ ≺ ≻ ≼ ≽ ⊏ ⊐ ⊑ ⊒ ² ³ °
∠ ∟ ° ≅ ~ ‖ ⟂ ⫛
≡ ≜ ≈ ∝ ∞ ≪ ≫ ⌊⌋ ⌈⌉ ∘ ∏ ∐ ∑ ∧ ∨ ∩ ∪ ⨀ ⊕ ⊗ 𝖕 𝖖 𝖗 ⊲ ⊳
∅ ∖ ∁ ↦ ↣ ∩ ∪ ⊆ ⊂ ⊄ ⊊ ⊇ ⊃ ⊅ ⊋ ⊖ ∈ ∉ ∋ ∌ ℕ ℤ ℚ ℝ ℂ ℵ ℶ ℷ ℸ 𝓟
¬ ∨ ∧ ⊕ → ← ⇒ ⇐ ⇔ ∀ ∃ ∄ ∴ ∵ ⊤ ⊥ ⊢ ⊨ ⫤ ⊣ … ⋯ ⋮ ⋰ ⋱
∫ ∬ ∭ ∮ ∯ ∰ ∇ ∆ δ ∂ ℱ ℒ ℓ
𝛢𝛼 𝛣𝛽 𝛤𝛾 𝛥𝛿 𝛦𝜀𝜖 𝛧𝜁 𝛨𝜂 𝛩𝜃𝜗 𝛪𝜄 𝛫𝜅 𝛬𝜆 𝛭𝜇 𝛮𝜈 𝛯𝜉 𝛰𝜊 𝛱𝜋 𝛲𝜌 𝛴𝜎𝜍 𝛵𝜏 𝛶𝜐 𝛷𝜙𝜑 𝛸𝜒 𝛹𝜓 𝛺𝜔