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Exponential Sums Equations and the Schanuel Conjecture
Author(s) -
Zilber Boris
Publication year - 2002
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/s0024610701002861
Subject(s) - mathematics , exponential function , conjecture , pure mathematics , mathematical analysis
A uniform version of the Schanuel conjecture is discussed that has some model‐theoretical motivation. This conjecture is assumed, and it is proved that any ‘non‐obviously‐contradictory’ system of equations in the form of exponential sums with real exponents has a solution.