Unsolved problems in number theory | Transcendental numbers | Exponentials | Conjectures

Four exponentials conjecture

In mathematics, specifically the field of transcendental number theory, the four exponentials conjecture is a conjecture which, given the right conditions on the exponents, would guarantee the transcendence of at least one of four exponentials. The conjecture, along with two related, stronger conjectures, is at the top of a hierarchy of conjectures and theorems concerning the arithmetic nature of a certain number of values of the exponential function. (Wikipedia).

Four exponentials conjecture
Video thumbnail

Solving an exponential equation using the one to one property 16^x + 2 = 6

👉 Learn how to solve exponential equations. An exponential equation is an equation in which a variable occurs as an exponent. To solve an exponential equation, we isolate the exponential part of the equation. Then we take the log of both sides. Note that the base of the log should correspo

From playlist Solve Exponential Equations with Logarithms

Video thumbnail

Using one to one property when exponents do not have the same base, 25^(x+3) = 5

👉 Learn how to solve exponential equations. An exponential equation is an equation in which a variable occurs as an exponent. To solve an exponential equation, we isolate the exponential part of the equation. Then we take the log of both sides. Note that the base of the log should correspo

From playlist Solve Exponential Equations without a Calculator

Video thumbnail

Solving exponential equations using the one to one property

👉 Learn how to solve exponential equations. An exponential equation is an equation in which a variable occurs as an exponent. To solve an exponential equation, we isolate the exponential part of the equation. Then we take the log of both sides. Note that the base of the log should correspo

From playlist Solve Exponential Equations with Logarithms

Video thumbnail

Learn how to solve an exponential equation 2^(x-3) = 32

👉 Learn how to solve exponential equations. An exponential equation is an equation in which a variable occurs as an exponent. To solve an exponential equation, we isolate the exponential part of the equation. Then we take the log of both sides. Note that the base of the log should correspo

From playlist Solve Exponential Equations without a Calculator

Video thumbnail

Solve an exponential equation using one to one property and isolating the exponent

👉 Learn how to solve exponential equations. An exponential equation is an equation in which a variable occurs as an exponent. To solve an exponential equation, we isolate the exponential part of the equation. Then we take the log of both sides. Note that the base of the log should correspo

From playlist Solve Exponential Equations with Logarithms

Video thumbnail

Solving an equation using the one to one property of exponents 5^(x+1) = 125^x

👉 Learn how to solve exponential equations. An exponential equation is an equation in which a variable occurs as an exponent. To solve an exponential equation, we isolate the exponential part of the equation. Then we take the log of both sides. Note that the base of the log should correspo

From playlist Solve Exponential Equations without a Calculator

Video thumbnail

Learn how to solve an exponential equation when the base is three

👉 Learn how to solve exponential equations. An exponential equation is an equation in which a variable occurs as an exponent. To solve an exponential equation, we isolate the exponential part of the equation. Then we take the log of both sides. Note that the base of the log should correspo

From playlist Solve Exponential Equations with Logarithms

Video thumbnail

Rewriting a exponential equation to solve using one to one properties (2/3)^x = 4/9

👉 Learn how to solve exponential equations. An exponential equation is an equation in which a variable occurs as an exponent. To solve an exponential equation, we isolate the exponential part of the equation. Then we take the log of both sides. Note that the base of the log should correspo

From playlist Solve Exponential Equations without a Calculator

Video thumbnail

Ciprian Demeter (Bloomington): Restriction of exponential sums to hypersurfaces

We discuss moment inequalities for exponential sums with respect to singular measures, whose Fourier decay matches those of curved hypersurfaces. Our emphasis will be on proving estimates that are sharp with respect to the scale parameter N apart from Nϵ losses. Joint work with Bartosz Lan

From playlist Seminar Series "Harmonic Analysis from the Edge"

Video thumbnail

"Transcendental Number Theory: Recent Results and Open Problem​s" by Prof. Michel Waldschmidt​

This lecture will be devoted to a survey of transcendental number theory, including some history, the state of the art and some of the main conjectures.

From playlist Number Theory Research Unit at CAMS - AUB

Video thumbnail

New Developments in Hypergraph Ramsey Theory - D. Mubayi - Workshop 1 - CEB T1 2018

Dhruv Mubayi (UI Chicago) / 30.01.2018 I will describe lower bounds (i.e. constructions) for several hypergraph Ramsey problems. These constructions settle old conjectures of Erd˝os–Hajnal on classical Ramsey numbers as well as more recent questions due to Conlon–Fox–Lee–Sudakov and othe

From playlist 2018 - T1 - Model Theory, Combinatorics and Valued fields

Video thumbnail

Dependent random choice - Jacob Fox

Marston Morse Lectures Topic: Dependent random choice Speaker: Jacob Fox, Stanford University Date: October 26, 2016 For more videos, visit http://video.ias.edu

From playlist Mathematics

Video thumbnail

A geometric view on Iwasawa theory - Mladen Dimitrov

Joint IAS/Princeton University Number Theory Seminar Topic: A geometric view on Iwasawa theory Speaker: Mladen Dimitrov Affiliation: Université de Lille Date: May 14, 2020 For more video please visit http://video.ias.edu

From playlist Mathematics

Video thumbnail

Stanley-Wilf limits are typically exponential - Jacob Fox

Jacob Fox Massachusetts Institute of Technology October 7, 2013 For a permutation p, let Sn(p) be the number of permutations on n letters avoiding p. Stanley and Wilf conjectured that, for each permutation p, Sn(p)1/n tends to a finite limit L(p). Marcus and Tardos proved the Stanley-Wilf

From playlist Mathematics

Video thumbnail

Advances on Ramsey numbers - Jacob Fox

https://www.math.ias.edu/seminars/abstract?event=83564

From playlist Computer Science/Discrete Mathematics

Video thumbnail

Learn how to use the equality property of exponents to solve with negative exponents

👉 Learn how to solve exponential equations involving fractions. An exponential equation is an equation in which a variable occurs as an exponent. To solve an exponential equation, we make the base of both sides of the equation to be equal so that we can then equate the exponents. When the

From playlist Solve Exponential Equations with Fractions

Video thumbnail

Ilya Shkredov: Zaremba’s conjecture and growth in groups

CIRM VIRTUAL CONFERENCE Recorded during the meeting "​ Diophantine Problems, Determinism and Randomness" the November 25, 2020 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide

From playlist Virtual Conference

Video thumbnail

A Breakthrough in Graph Theory - Numberphile

A counterexample to Hedetniemi's conjecture - featuring Erica Klarreich. Get 3 months of Audible for just $6.95 a month. Visit https://www.audible.com/numberphile or text "numberphile" to 500 500 More links & stuff in full description below ↓↓↓ Read Erica Klarreich's Quanta article on th

From playlist Graph Theory on Numberphile

Video thumbnail

Sebastian Eterović, UC Berkeley

April 12, Sebastian Eterović, UC Berkeley Existential Closedness and Differential Algebra

From playlist Spring 2022 Online Kolchin seminar in Differential Algebra

Video thumbnail

Solving an exponential equation using the one to one property

👉 Learn how to solve exponential equations. An exponential equation is an equation in which a variable occurs as an exponent. To solve an exponential equation, we isolate the exponential part of the equation. Then we take the log of both sides. Note that the base of the log should correspo

From playlist Solve Exponential Equations with Logarithms

Related pages

Transcendental number | Gelfond–Schneider theorem | Vector space | Linear algebra | Conjecture | Homogeneous polynomial | Algebraic number | Kanakanahalli Ramachandra | Six exponentials theorem | Exponential function | Transcendental number theory | E (mathematical constant) | Serge Lang | Nome (mathematics) | Complex logarithm | Atle Selberg | Euler's identity | Leonidas Alaoglu | Mathematics | Integer | Real number | Pi | Baker's theorem | Number theory | Superior highly composite number | J-invariant | Srinivasa Ramanujan | Prime number | Colossally abundant number | Irrational number | Paul Erdős | Matrix (mathematics) | Rank (linear algebra) | Carl Ludwig Siegel