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Published April 9, 2026 | Version v1

An Explicit Bound for the Logarithmic Integral Derived via Linear Forms in Logarithms

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Description

This paper establishes an explicit conditional upper bound for the Eulerian logarithmic integral by bridging transcendental and analytic number theory. Specifically, we apply the Baker-Matveev method for linear forms in logarithms to a primorial-based Diophantine system. 

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An_Explicit_Bound_for_the_Logarithmic_Integral_Derived_via_Linear_Forms_in_Logarithms.pdf

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References

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