Category:Number theory
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branch of pure mathematics devoted primarily to the study of the integers | |||||
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English: Traditionally, number theory is the branch of mathematics concerned with the properties of integers and many of its open problems are easily understood even by non-mathematicians. More generally, the field has come to be concerned with a wider class of problems that arise naturally from the study of integers. Number theory may be subdivided into several fields according to the methods used and the questions investigated. See for example the list of number theory topics.
Subcategories
This category has the following 36 subcategories, out of 36 total.
.
A
B
- Bernoulli numbers (18 F)
C
- Coprime integers (6 F)
D
- Dirichlet eta function (5 F)
E
F
G
- Goldbach's conjecture (70 F)
- Golomb rulers (5 F)
H
- Harmonic number (2 F)
I
K
- Kobon triangles (11 F)
L
M
- Markoff numbers tree (5 F)
P
Q
- Quasi-random sequences (20 F)
R
S
- Sums of three cubes (1 F)
T
- Thomae's function (3 F)
W
- Wujun (1 F)
~
📚
- Number Theory by Guo Wujun (33 F)
Media in category "Number theory"
The following 200 files are in this category, out of 250 total.
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196 lychrel thread.jpg 401 × 592; 22 KB
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5D-Phi.jpg 1,006 × 130; 36 KB
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5vector-11-5.jpg 1,103 × 531; 62 KB
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6D-Phi-Stabilisation.jpg 924 × 135; 30 KB
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9-proef.png 377 × 181; 5 KB
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Le couple de jumeaux (11,13).png 1,181 × 446; 8 KB
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ভাগশেষ উপপাদ্যের আদ্যোপান্ত - All About Reminder Theorem.pdf 1,275 × 1,650, 4 pages; 807 KB
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Abundant num le 400.png 450 × 50; 3 KB
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AdolfHammersteinDissertation.jpg 2,313 × 1,804; 1.09 MB
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AllG8Frequencies.jpg 2,025 × 1,641; 412 KB
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AllG8Numbers.jpg 2,058 × 1,612; 686 KB
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An image of reduction and lifting.svg 575 × 600; 14 KB
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An subdivision of Zp.svg 1,134 × 750; 32 KB
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Apéry's constant.svg 694 × 694; 38 KB
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Automate-Pliage.png 612 × 201; 25 KB
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Automate-Pliage1.png 614 × 201; 25 KB
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Automate-Thue-Morse.png 321 × 202; 13 KB
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Basic filtration of Qp.svg 1,134 × 1,128; 29 KB
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Baum-Sweet.png 524 × 185; 16 KB
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Benford19.gif 763 × 270; 4 KB
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BrahmaguptaTriangle.png 1,060 × 971; 27 KB
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Brjuno function.png 1,000 × 1,000; 26 KB
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Brun's constant.svg 694 × 446; 58 KB
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Brun-Phi.jpg 419 × 337; 17 KB
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BSD data plot for elliptic curve 800h1.png 1,473 × 1,000; 64 KB
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BSD data plot for elliptic curve 800h1.svg 436 × 296; 5.07 MB
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Caractere de dirichlet.png 771 × 188; 2 KB
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Caracteremodulo5.png 771 × 197; 7 KB
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Carre de la somme des 8 premiers entiers.png 794 × 1,123; 30 KB
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Catalan stairstep 4.png 448 × 124; 3 KB
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Cesaro euler.gif 513 × 482; 7 KB
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Champernowne constant logscale.svg 694 × 694; 86 KB
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Champernowne constant.svg 694 × 694; 83 KB
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Chinese remainder theorem stripes 2.svg 319 × 248; 44 KB
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Chinese remainder theorem stripes.svg 319 × 283; 56 KB
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Compositedecomp2d.jpg 600 × 600; 29 KB
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Compositions of 6.svg 319 × 638; 248 KB
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Conjecture de SATO-Tate.png 321 × 794; 24 KB
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Conway constant.png 400 × 400; 8 KB
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Conway's constant.svg 694 × 694; 35 KB
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Covering the circle by arcs in Hardy–Littlewood circle method.gif 454 × 454; 100 KB
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CyclicCubicNumberFieldFundamentalDomain.svg 512 × 512; 49 KB
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Cyclotomic field crossing.svg 541 × 141; 27 KB
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Dark-Energy-Aperture.jpg 665 × 222; 32 KB
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Deficient num le 400.png 450 × 50; 3 KB
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Definirea inelului întregilor (teorema Malţev).png 400 × 230; 5 KB
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DensityHypothesis.png 850 × 551; 63 KB
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DimensionStabilisation0D1D.jpg 945 × 283; 44 KB
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Diophantus-cover 2.jpg 1,693 × 2,665; 250 KB
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Diophantus-cover.jpg 360 × 591; 70 KB
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Diophantus-cover.png 828 × 1,295; 2.11 MB
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Dirichlet character 7.png 795 × 713; 30 KB
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Dirichlet character mod 5.png 1,076 × 729; 33 KB
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Dirichlet hyperbola example 4.svg 800 × 800; 69 KB
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Dirichletcharacter.png 771 × 188; 2 KB
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DirichletLFunction mod7 ind2.png 244 × 611; 80 KB
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DirichletLFunction mod7 index2.jpg 244 × 611; 20 KB
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Discriminant49CubicFieldFundamentalDomain.png 802 × 670; 10 KB
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Discriminant49CubicFieldFundamentalDomain.svg 512 × 512; 47 KB
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Discriminant49CubicFieldFundamentalDomainOfUnits.png 839 × 491; 38 KB
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Distribution-of-exp-sum-values.png 850 × 763; 46 KB
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Divisor-summatory.svg 600 × 480; 35 KB
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DivisorParabolas.gif 687 × 549; 3.35 MB
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Ejemplos.png 672 × 339; 13 KB
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Elliptic-Curve-y^2=x^3+x^2-x.svg 1,284 × 881; 92 KB
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Euclid orchard trimetric.svg 512 × 384; 13 KB
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Euclid's Orchard (large).svg 356 × 356; 32 KB
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Every positive integer is a sum of three palindromes.pdf 1,239 × 1,754, 42 pages; 282 KB
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Extraction de la racine carrée d'un nombre.jpg 1,911 × 1,413; 2.31 MB
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Factor of a product brick wall.svg 567 × 620; 88 KB
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Factor of a product brickwork.svg 319 × 337; 22 KB
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Factor of a product numbered grid.svg 319 × 337; 239 KB
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Factor of a product tilework.svg 319 × 337; 13 KB
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Finished (fully expanded) Amiko hydra.png 1,472 × 832; 34 KB
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Five-vectors.jpg 323 × 310; 19 KB
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FormulaJx Riemann con minus log2.gif 432 × 50; 2 KB
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FormulaPerJx funzioneZeta.gif 147 × 50; 811 bytes
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Frecuencia de los 15000 primeros numeros primos.png 600 × 524; 18 KB
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FrenicleMethode1729.jpg 2,863 × 4,400; 1.66 MB
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FSC-Phi.jpg 1,143 × 309; 46 KB
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GBAllfig5.jpg 2,337 × 1,754; 401 KB
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Goldbach200000.png 3,700 × 2,774; 1.35 MB
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GramPointsSinThetaZ 0 50.png 360 × 221; 14 KB
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GramPointsSinThetaZ 413 419.png 360 × 222; 9 KB
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Graphe des nombres polydivisibles.svg 720 × 540; 40 KB
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Harmonic Progression.png 1,201 × 314; 17 KB
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History of the prove of the Goldbach's weak conjecture assuming the GRH.png 1,640 × 943; 99 KB
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History of the prove of the Goldbach's weak conjecture.png 1,510 × 859; 97 KB
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History of the Theory of Numbers, 3 volumes.jpg 3,160 × 5,328; 2.95 MB
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Hyperbola method-1.png 3,850 × 2,813; 159 KB
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Hyperbola method-2.png 3,850 × 2,813; 168 KB
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Hyperbola method-3.png 3,850 × 2,813; 177 KB
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Illustration du Z-module Z6.jpg 3,872 × 2,592; 2.63 MB
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IncreaseSM.jpg 2,070 × 1,641; 237 KB
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Inhaltskette.png 187 × 375; 5 KB
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Initial form of Amiko hydra (without expansion).png 1,472 × 832; 23 KB
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Interior-bits-of-primes-&-their-reversals.gif 1,400 × 1,700; 86 KB
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Interpretació geomètrica del mcm.PNG 442 × 210; 8 KB
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Iterative-NTT-Multiplication-Pseudo-Code.png 940 × 27,574; 2.4 MB
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Koksma Titelblatt.jpg 473 × 788; 283 KB
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Kryptogramm 001 f.jpg 570 × 543; 209 KB
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Kutuları bulma M değeri hesaplama.png 517 × 561; 23 KB
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L-Function-of-y^2=x^3-4x+64.svg 450 × 280; 36 KB
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Legendre constant.png 1,105 × 567; 52 KB
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Legendre's constant 10 000 000.svg 694 × 332; 136 KB
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Legendre's constant.svg 694 × 336; 742 KB
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LiouvilleWalk2.svg 1,860 × 374; 94 KB
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LoefflerWilcoxonMannWhitneyTest.pdf 1,239 × 1,752, 3 pages; 1.41 MB
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LogAreaDashed50150.svg 450 × 330; 36 KB
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Lonely runner.gif 256 × 256; 1.15 MB
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Luckydecomp2d.jpg 600 × 600; 42 KB
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Lychrel numbers - 196 thread.svg 535 × 789; 61 KB
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MarkoffNumberAsymptotics.png 511 × 322; 4 KB
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MARUELLI-FROM-SUM-TO-INTEGRAL.jpg 1,900 × 1,112; 494 KB
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Mathematical solution for the Beal Conjecture.pdf 1,275 × 1,650, 9 pages; 747 KB
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MaximumSM.jpg 2,104 × 1,650; 234 KB
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Middle-square method.svg 538 × 393; 87 KB
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Minkowski question-mark plot qm(x)-x.svg 242 × 107; 5 KB
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Minkowski'sQuestionMarkLessTheIdentity.png 1,024 × 146; 2 KB
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MLS.0128.65535.ogg 10 s; 318 KB
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MLS.0256.65535.ogg 10 s; 318 KB
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MLS.0512.65535.ogg 10 s; 318 KB
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MLS.1024.65535.ogg 10 s; 317 KB
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MLS.2048.65535.ogg 10 s; 317 KB
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MLS.Impulse.Response.pdf 1,275 × 1,650, 5 pages; 30 KB
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Modknot11.png 564 × 564; 34 KB
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Moser–de Bruijn addition.svg 657 × 630; 12 KB
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Moser–de Bruijn counts.svg 540 × 432; 257 KB
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Msm-newpic.png 250 × 183; 22 KB
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Msm-newpic2.png 250 × 375; 15 KB
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MuLindelöf.svg 450 × 298; 27 KB
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MuWalk.svg 1,919 × 386; 93 KB
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N-th term difference.jpg 600 × 235; 26 KB
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Natuurlike getalle.jpg 500 × 339; 21 KB
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Nb diviseurs.gif 484 × 484; 14 KB
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Nbdediviseurs.gif 430 × 194; 4 KB
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Nbdiviseurs.gif 452 × 210; 3 KB
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NoteProuhet.png 1,407 × 1,145; 542 KB
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Nsd.jpg 237 × 200; 8 KB
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NTT-Calculate-Exponentiated-Modulus-Pseudo-Code.png 940 × 1,012; 71 KB
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NTT-Calculate-Inverse-Prime-Pseudo-Code.png 940 × 1,550; 103 KB
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NTT-Calculating-The-Safe-Maximum-Number-Of-Samples.png 642 × 702; 41 KB
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NTT-Find-Primary-L-Pseudo-Code.png 940 × 2,406; 155 KB
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NTT-Multiplication-A-Complete-Run-Through-Of-The-Iterative-Algorithm-High-Resolution.png 3,760 × 14,584; 1.19 MB
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NTT-Multiplication-A-Complete-Run-Through-Of-The-Iterative-Algorithm.png 940 × 3,646; 259 KB
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NTT-Processing-Each-Subset.png 940 × 1,532; 85 KB
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Number of divisors of Gaussian integers.png 3,300 × 3,300; 597 KB
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Number of the ways to write an odd number up to a million as a sum of 3 primes.png 3,008 × 2,582; 314 KB
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Number-theory-icon-rounded.svg 512 × 122; 367 bytes
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Numeri Coprimi.svg 731 × 551; 339 KB
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Números coprimos gráfico.png 570 × 210; 2 KB
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OOoCyclotomic.png 972 × 467; 91 KB
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Ordem definida pela noção de divisibilidade.svg 787 × 575; 41 KB
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Original Manusrcipt on Jan 17, 2018.png 1,706 × 1,280; 1.48 MB
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Parallel remainder cycles 6 5.svg 567 × 71; 69 KB
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Pattern to the Digits of Pi Figure 1.svg 772 × 801; 428 KB
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Pell octagons.svg 324 × 324; 10 KB
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Pell s equation.gif 543 × 531; 507 KB
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Permutation polynomials and complete permutation polynomials over Fq3.pdf 1,275 × 1,650, 31 pages; 319 KB
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Petit théorème de Fermat.png 185 × 23; 837 bytes
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Phi-constants.jpg 1,157 × 379; 52 KB
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Phi-growth.jpg 913 × 277; 29 KB
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Phi-stability.jpg 783 × 299; 47 KB
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Phinary even-recurrence tree.png 1,009 × 1,253; 156 KB
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Phinary recurrence tree.png 1,019 × 1,242; 191 KB
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Pi1000.svg 450 × 289; 31 KB
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Pi100000.svg 450 × 280; 29 KB
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Pi50Plot.svg 450 × 294; 24 KB
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PiLi100000.svg 450 × 280; 99 KB
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Plot of number of primes between consecutive squares.png 600 × 403; 31 KB
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PlotDiscriminantsOfComplexCubicFields.svg 510 × 480; 84 KB
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PlotDiscriminantsOfQuarticFields.svg 600 × 480; 84 KB
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PlotDiscriminantsOfRealCubicFields.svg 510 × 480; 86 KB
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POINT LATTICE REPRESENTATION OF COPRIME INTEGERS.jpg 1,152 × 648; 41 KB
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Pollard rho cycle.jpg 520 × 480; 14 KB
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Pollard rho cycle.svg 520 × 480; 71 KB
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Pollard Rho.png 296 × 374; 9 KB
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Polynome de fekete 43.svg 614 × 525; 22 KB
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Prime Factor Visualization by Michael Scharrer.jpg 5,120 × 3,200; 2.48 MB
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Prime Pairs Eng.jpg 720 × 960; 107 KB
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Prime Pairs.jpg 720 × 960; 172 KB
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Prime powers in SHCN, CAN es.svg 512 × 330; 6 KB
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Prime powers in SHCN, CAN.svg 512 × 330; 6 KB
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Prime vs composite-ary.png 547 × 768; 52 KB
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Prime-gap-frequency-distribution.svg 1,630 × 794; 84 KB
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Prime-numbers-internal-structure.gif 524 × 719; 56 KB
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PrimeDuality.svg 450 × 294; 43 KB
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Primes harmonic.png 3,037 × 2,408; 63 KB
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Primos.gif 800 × 600; 242 KB
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Proportion of abundant numbers.svg 540 × 360; 133 KB
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Psi1000.svg 450 × 395; 33 KB
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Psi20.svg 450 × 408; 22 KB
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PsiX100.svg 450 × 400; 29 KB
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Q-Eulero.jpeg 600 × 600; 26 KB
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QuadraticPlotF11.svg 450 × 288; 28 KB
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Rado's criterion over squares and higher powers.pdf 1,133 × 1,593, 72 pages; 772 KB
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Recherches Sur Plusieurs Ouvrages De Léonard De Pise Et Sur Diverses Questions D’Arithmétique Supérieure, Édouard Lucas (1877).pdf 1,239 × 1,754, 124 pages; 1.61 MB
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Relatively Prime Example.png 2,000 × 1,259; 32 KB
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Relativprim 4-9.svg 635 × 330; 18 KB