Transcendental Number Theory
E772535
Transcendental Number Theory is a mathematical monograph by Alan Baker that develops methods for studying transcendental and algebraic numbers, particularly through linear forms in logarithms.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Transcendental Number Theory canonical | 1 |
Statements (42)
| Predicate | Object |
|---|---|
| instanceOf |
book
ⓘ
mathematical monograph ⓘ |
| author | Alan Baker NERFINISHED ⓘ |
| countryOfPublication | United Kingdom ⓘ |
| field |
number theory
ⓘ
transcendental number theory ⓘ |
| focusesOn |
Baker’s theory of linear forms in logarithms
ⓘ
Diophantine approximation NERFINISHED ⓘ applications to Diophantine equations ⓘ effective results in transcendence theory ⓘ lower bounds for linear forms in logarithms ⓘ |
| hasAudience |
graduate students in mathematics
ⓘ
researchers in number theory ⓘ |
| hasAuthorNationality | British ⓘ |
| hasTopic |
Baker-type bounds
ⓘ
algebraic independence ⓘ applications to exponential Diophantine equations ⓘ auxiliary functions in transcendence theory ⓘ estimates for logarithmic forms ⓘ heights of algebraic numbers ⓘ linear forms in complex logarithms ⓘ p-adic linear forms in logarithms ⓘ transcendence proofs ⓘ |
| influenced |
development of effective Diophantine methods
ⓘ
later research in transcendental number theory ⓘ |
| influencedBy |
Gelfond–Schneider theorem
NERFINISHED
ⓘ
work of Aleksandr Gelfond ⓘ work of Theodor Schneider ⓘ |
| language | English ⓘ |
| mainSubject |
algebraic numbers
ⓘ
linear forms in logarithms ⓘ transcendental numbers ⓘ |
| notableFor |
influencing proofs of finiteness results for Diophantine equations
ⓘ
providing effective bounds in transcendence problems ⓘ systematic development of linear forms in logarithms ⓘ |
| publicationYear | 1975 ⓘ |
| publisher | Cambridge University Press NERFINISHED ⓘ |
| relatedTo |
Diophantine equations
NERFINISHED
ⓘ
algebraic number theory ⓘ analytic number theory ⓘ |
| relatedWork | A. Baker’s papers on linear forms in logarithms ⓘ |
| series | Cambridge Tracts in Mathematics NERFINISHED ⓘ |
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.