Revision #342 → #1635 · back to history
addedTranscendental number4f596d19c8b5
addedAlmost all numbers are transcendental710336681b29
addedReal transcendentals are irrational6fd630adb8a7
addedSquare root of 2 is not transcendental583ec4cb9e0a
addedsin x is not an algebraic functionf8f067d80e07
addedLambert's conjecture on e and π25c6fdfada3d
addedExistence of transcendental numbers (Liouville)1c5f306e9832
addedLiouville numberse3c9cccd9eb2
addedAll Liouville numbers are transcendental688ce17281af
addede is transcendental (Hermite)f7d5cfcd9421
addedCantor: algebraic countable, reals uncountablea7c18f0fa2f8
addedπ is transcendental (Lindemann)e8a89b77468d
addede^a transcendental for nonzero algebraic af118d9c8c765
addedGelfond–Schneider theorem829ae58ca795
addedTranscendental number (not root of integer polynomial)b7dc446cd769
addedReal transcendental implies irrationalc4465ac5b5af
addedTranscendental numbers are uncountable22fcba93abed
addedIrrationals contain real transcendentals and some algebraicsd95fdc4cf392
addedAlgebraic function of transcendental is transcendental80e52c0e77e5
addedAt least one of a+b and ab is transcendental020fe13083ef
addedπ and 1−π sum to an algebraic numbera1661653392a
addedNon-computable numbers are strict subset of transcendentals6bb19fea698b
addedLiouville numbers transcendental but not conversely89b57c26fb43
addedTranscendentals with bounded partial quotients exist42ce7a7a6e17
addede is not a Liouville numberabaf075b0460
addedπ is not a Liouville number (Mahler)8e39d9247fe4
addedConjecture on bounded continued fractions7798b188fd5b
addedπ is transcendental578e9b83b5be
addede^a transcendental; Euler's number e7462e1f4fdb4
addedGelfond's constant8a3b1b917652
addedAlgebraic combinations of π and e^πd9478f88cdd6
addeda^b and Gelfond–Schneider constant56c21dc98eef
addedNatural logarithm of algebraic numbers43a45c4f51ce
addedlog_a b transcendental (Gelfond–Schneider)33088c14d1f5
addedSums of logarithms (Baker's theorem)87df28a7cd78
addedTrigonometric functions at algebraic argumentsb4c1f13848a5
addedInverse trigonometric functions at algebraic arguments47342cd70934
addedTranscendence for rational xcbdd67929820
addedDottie number1fcbb008c27c
addedLambert W function values; omega constante0fa107de960
addedGeneralized Lambert W function values8ca4d097f391
addedSquare super-root of natural numbers0ee2e7448c29
addedGamma function at certain rationals7324873f1ae1
addedLemniscate constantf2c366b73a11
addedBeta function at non-integer rationals0cbb72ddcb26
addedBessel function values and quotientsb4d81e9f6f06
addedBessel-function combination with Euler–Mascheroni constant0febdfb7575c
addedFibonacci zeta at even arguments6f6007db4e45
addedLiouville's constant9a573f508a8b
addedNumbers with irrationality measure > 2 (Roth)0472b428ff69
addedNumbers constructed to not be periodsb9d2527e0000
addedChaitin's constant262caa74bc7c
addedNumbers not simply normal in any basebe5702476e80
addedNumbers with Sturmian-word digits177fb7d32103
addedProuhet–Thue–Morse and rabbit constants70f5afc14184
addedKomornik–Loreti constant055bf461dd0d
addedPaperfolding constantd650035bf7a5
addedFast-convergence series (Gao)8a73f9565b82
addedNumbers built from polynomial ratiosd690209ec458
addedNumbers defined via the floor function544e05f5279a
addedMoser–de Bruijn digit numbers2dfce5bc9998
addedRogers–Ramanujan continued fraction valuesc3771bd11c2e
addedLemniscatic theta-function valuesabae4e77f36b
addedj-invariant at non-imaginary-quadratic algebraics8e1e05aa5cb4
addedConstants in Gijswijt's sequence formula326e8329f5ee
addedCombinations of transcendentals not known transcendental702c668a75ba
addede+π and π/e satisfy no low-degree polynomialc31fc45b38ea
addedAt least one of e^e and e^{e^2} transcendentale17d8db946da
addedAt least one of eπ and e+π transcendentaldc9e3846feb6
addedSchanuel's conjecture implication455d8e28bc80
addedEuler–Lehmer constants: at most one algebraic8ed9c97b3430
addedAt least one of γ and Gompertz constant transcendental89756111f94e
addedRiemann zeta at odd integers; Apéry's constant8ea720f9c00c
addedAt least one of ζ(4k+3) terms transcendental2a386a1801ec
addedDirichlet beta at even integers; Catalan's constantaea577e740ac
addedGamma values Γ(1/n) unknown irrationality38c357e856ac
addedAt least one of Γ(1/n), Γ(2/n) transcendental9cb7b08ccf09
addedNon-obviously-algebraic limits5333b4fc8835
addede is transcendental7700bbe0aff7
addedπ is transcendentale830065775fb