November 22, 2025Mathematische NachrichtenOpen Access

On the Lindelöf hypothesis for the Riemann zeta function and Piltz divisor problem

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Significant findings reveal necessary conditions for the Lindelöf hypothesis within the context of the Riemann zeta function and its coefficients.
The analysis incorporates Fourier coefficients and Laguerre polynomials to address the behavior of the zeta function in analytic number theory.
Utilizing Fourier expansion, the research looks into conditions for the critical strip where the zeta function is defined.
These findings may enhance understanding of classic problems in number theory linked to divisor functions and analytic properties.

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Analytical analysis shows necessary conditions for the Lindelöf hypothesis in zeta function behavior, suggesting links to divisor problems.

Lahoucine Elaissaoui (2025) studied this question.

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Analytical analysis shows necessary conditions for the Lindelöf hypothesis in zeta function behavior, suggesting links to divisor problems.