number. The constant was mentioned in Hilbert's seventh problem alongside the Gelfond–Schneider constant 2√2 and the name "Gelfond's constant" stems from...

later extended to an arbitrary algebraic irrational b by Gelfond and by Schneider. Gelfond's constant Courant, R.; Robbins, H. (1996), What Is Mathematics...

{\sqrt {2}}^{\sqrt {2}}={\sqrt {2^{\sqrt {2}}}}=1.632526919\ldots } Gelfond's constant e π = ( e i π ) − i = ( − 1 ) − i = 23.14069263 … {\displaystyle e^{\pi...

Some of them are named in Gelfond's honor: 2√2 is known as the Gelfond–Schneider constant eπ is known as Gelfond's constant. Yandell, Ben (2001). The...

Eric W. "Gelfonds Constant". MathWorld. Weisstein, Eric W. "Gelfond-Schneider Constant". MathWorld. Weisstein, Eric W. "Favard Constants". MathWorld...

{a}{q^{n}-1}}+{\frac {b}{q^{2n}-1}}+{\frac {c}{q^{4n}-1}}\right),} where q is eπ (Gelfond's constant), k is an odd number, and a, b, c are certain rational numbers that...

with Euler's constant, a different constant typically denoted γ {\displaystyle \gamma } . Alternatively, e can be called Napier's constant after John Napier...

numbers like Hilbert's constant 2 2 {\displaystyle 2^{\sqrt {2}}} and Gelfond's constant e π {\displaystyle e^{\pi }} . The Gelfond–Schneider theorem follows...

Gelfond, author of Gelfond's theorem, provided means to obtain infinite number of transcendentals, including Gelfond–Schneider constant and Gelfond's...

explicitly Mathematics portal De Moivre's formula Exponential function Gelfond's constant The term "Euler's identity" (or "Euler identity") is also used elsewhere...

{\displaystyle n} is a positive integer; in particular Gelfond's constant e π {\displaystyle e^{\pi }} (by the Gelfond–Schneider theorem). Algebraic combinations...

is transcendental, nor other combinations of the two (except eπ, Gelfond's constant, which is known to be transcendental). Another major problem is dealing...

{\displaystyle n\in \mathbb {Q} ^{+}} , this gives algebraic approximations to Gelfond's constant e π {\displaystyle e^{\pi }} . When n ∈ Q + {\displaystyle {\sqrt...

compute. Bloch's constant (also 2nd Landau's constant): 0.4332 < B < 0.4719 1st Landau's constant: 0.5 < L < 0.5433 3rd Landau's constant: 0.5 < A ≤ 0.7853...

numbers, where C is an effectively computable constant: Schnirelmann obtained C < 800000. Schnirelmann's constant is the lowest number C with this property...

to the next." List of mathematical constants Square root of 3, √3 Square root of 5, √5 Gelfond–Schneider constant, 2√2 Silver ratio, 1 + √2 Fowler, David...

Gelfond, author of Gelfond's theorem, provided means to obtain infinite number of transcendentals, including Gelfond–Schneider constant and Gelfond's...

Gelfond, author of Gelfond's theorem, provided means to obtain infinite number of transcendentals, including Gelfond–Schneider constant and Gelfond's...

These functions have the following values for the reciprocal of Gelfond's constant and for the square of this reciprocal: G M [ exp ⁡ ( − π ) ] = 2 −...

affirmative by Aleksandr Gelfond in 1934, and refined by Theodor Schneider in 1935. This result is known as Gelfond's theorem or the Gelfond–Schneider theorem...

]{18}}+{\sqrt[{4}]{216}}}}\end{aligned}}} If the reciprocal of the Gelfond constant is raised to the power of the reciprocal of an odd number, then the...

logarithms of algebraic numbers. Nearly fifteen years earlier, Alexander Gelfond had considered the problem with only integer coefficients to be of "extraordinarily...

the above more general statement in 1885. The theorem, along with the Gelfond–Schneider theorem, is extended by Baker's theorem, and all of these would...

of not more than C prime numbers, where C is an effectively computable constant. His other fundamental work is joint with Lazar Lyusternik. Together, they...

problem Gelfond–Schneider theorem Erdős–Borwein constant Liouville number Irrationality measure Simple continued fraction Mathematical constant (sorted...

Best Picture. The post made fun of the fact that both films seemed to be constantly announcing new cast members. Neglia later said he did not remember writing...

enhanced sense of smell. She looks up to her elder sister, Winifred, and constantly seeks her approval. Nina Kitchen as young Mary Sanderson Sam Richardson...

mathematics, an expression or equation is in closed form if it is formed with constants, variables, and a set of functions considered as basic and connected by...

theorem Khinchin inequality Equidistribution theorem Khinchin's constant Khinchin–Lévy constant Khinchin's theorem on Diophantine approximations Law of the...

are transcendental. In particular, this result implies that Gelfond–Schneider constant 2 2 = 2.6651441426902251886502972498731 … {\displaystyle 2^{\sqrt...