due to Stephen Schanuel and was published by Serge Lang in 1966. Schanuel's conjecture can be given as follows: Schanuel's conjecture—Given any set of...

Baker's theorem, and all of these would be further generalized by Schanuel's conjecture. The theorem is also known variously as the Hermite–Lindemann theorem...

would be resolved by Schanuel's conjecture – a currently unproven generalization of the Lindemann–Weierstrass theorem. It is conjectured that e is normal...

satisfies the equivalent formulation of Schanuel's conjecture with the field's exponential function. It is conjectured that this exponential field is actually...

Closedness conjecture have also been proven. Schanuel's conjecture Zilber-Pink conjecture Zilber, Boris (2002), "Exponential sums equations and the Schanuel conjecture"...

(1933–2014), American mathematician Schanuel's conjecture Schanuel's lemma This page lists people with the surname Schanuel. If an internal link intending...

because e and π are not known to be algebraically independent. Schanuel's conjecture would imply that all of the above numbers are irrational and even...

at University of Chicago, he discovered Schanuel's lemma, an essential lemma in homological algebra. Schanuel received his Ph.D. in mathematics from Columbia...

showed that Schanuel's conjecture implies such a procedure exists, and hence gave a conditional solution to Tarski's problem. Schanuel's conjecture deals with...

be an approach to the full four exponentials conjecture via the modular function j. Schanuel's conjecture Waldschmidt, (2006). Alaoglu and Erdős, (1944)...

109. At least one of the numbers ee and ee2 is transcendental. Schanuel's conjecture would imply that all of the above numbers are transcendental and...

multiplication, and exponentiation. Moreover, in this abstract structure Schanuel's conjecture does indeed hold. Unfortunately it is not yet known that this structure...

power basis. Can integer factorization be done in polynomial time? Schanuel's conjecture on the transcendence degree of certain field extensions of the rational...

{E}}\left(x^{\frac {1}{x}}\right)=\mathbb {Q} \setminus \{0\}.} A consequence of Schanuel's conjecture in transcendental number theory would be that E ( e e x ) = ∅ ....

independent ("relatively transcendental"). This would be resolved by Schanuel's conjecture – a currently unproven generalization of the Lindemann–Weierstrass...

and the Schanuel conjecture", J. London Math. Soc., 65 (2): 27–44, doi:10.1112/S0024610701002861. Rémond, Gaël (2009), "Autour de la conjecture de Zilber–Pink"...

conjecture Kelvin's conjecture Kouchnirenko's conjecture Mertens conjecture Pólya conjecture, 1919 (1958) Ragsdale conjecture Schoenflies conjecture (disproved...

University press. p. 60. Lin, Ferng-Ching (1983). "Schanuel's conjecture implies Ritt's conjectures". Chin. J. Math. 11 (1): 41–50. Chow, Timothy (1999)...

is not known whether e and π are algebraically independent (see Schanuel's conjecture). If S is a compact Riemann surface, the field C(S) of meromorphic...

2 e , 3 e , … {\displaystyle e,{}^{2}e,{}^{3}e,\dots } , given Schanuel's conjecture. It is not known whether nq is rational for any positive integer...

Existential Closedness conjecture Schanuel's conjecture Boris Zilber Zilber, Boris (2002), "Exponential sums equations and the Schanuel conjecture", J. London Math...

that e is irrational representations of e Lindemann–Weierstrass theorem People John Napier Leonhard Euler Related topics Schanuel's conjecture v t e...

is the Gelfond–Schneider theorem, and a major open question is Schanuel's conjecture. For purposes of numeric computations, being in closed form is not...

still unproven Schanuel's conjecture, and does not imply the six exponentials theorem nor, clearly, the still open four exponentials conjecture. The main reason...

that e is irrational representations of e Lindemann–Weierstrass theorem People John Napier Leonhard Euler Related topics Schanuel's conjecture v t e...

that e is irrational representations of e Lindemann–Weierstrass theorem People John Napier Leonhard Euler Related topics Schanuel's conjecture v t e...

independence Transcendental number Lindemann-Weierstrass theorem Schanuel's conjecture Patrick Morandi (1996). Field and Galois Theory. Springer. p. 174...

that e is irrational representations of e Lindemann–Weierstrass theorem People John Napier Leonhard Euler Related topics Schanuel's conjecture v t e...

that e is irrational representations of e Lindemann–Weierstrass theorem People John Napier Leonhard Euler Related topics Schanuel's conjecture v t e...

conclusions about the transcendence of πe. However the currently unproven Schanuel's conjecture would imply its transcendence. Using the principal value of the...