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On the Phragmen Lindel\"of Theorem in strips

math.CV · 2025-02-24 · unverdicted · novelty 4.0

Proves that convexity of 1/μ equals approximate concavity of p-abscissae for polynomially bounded analytic functions in strips, with equivalence to Lindelof hypothesis under Selberg-type functional equations when μ'(1/2) fails to exist.

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  • On the Phragmen Lindel\"of Theorem in strips math.CV · 2025-02-24 · unverdicted · none · ref 6

    Proves that convexity of 1/μ equals approximate concavity of p-abscissae for polynomially bounded analytic functions in strips, with equivalence to Lindelof hypothesis under Selberg-type functional equations when μ'(1/2) fails to exist.