The Diophantine problem for rings of exponential polynomials

Chompitaki, Dimitra; Garcia-Fritz, Natalia; Pasten, Hector; Pheidas, Thanases; Vidaux, Xavier

doi:10.48550/arxiv.2004.00612

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2021

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“…From the view points of studying the algebraic structure of the exponential polynomials, it basically says that the radical of an exponential polynomial is also an exponential polynomial. We refer to [10], [7], and [8] for other expositions in this direction; and [2] for related results in logic.…”

Section: Introductionmentioning

confidence: 99%

A truncated second main theorem for algebraic tori with moving targets and applications

Guo¹,

Sun²,

Wang³

2021

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We establish a second main theorem for algebraic tori with slow growth moving targets with truncation to level 1. As the first application of this result, we prove the Green-Griffith-Lang conjecture for projective spaces with n + 1 components in the context of moving targets of slow growth. Then we discuss the integrability of the ring of exponential polynomials in the ring of entire functions as another application.

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Section: Introductionmentioning

confidence: 99%