EXPONENTIAL SUMS EQUATIONS AND THE SCHANUEL CONJECTURE

BORIS ZILBER

doi:10.1112/S0024610701002861

Abstract

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.

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EXPONENTIAL SUMS EQUATIONS AND THE SCHANUEL CONJECTURE

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