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Creators/Authors contains: "Li, Xiannan"

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  1. ; ; ; (, Duke Mathematical Journal)
    We prove an asymptotic formula for the eighth moment of Dirichlet L-functions averaged over primitive characters χ modulo q, over all moduli q≤Q and with a short average on the critical line. Previously the same result was shown conditionally on the Generalized Riemann Hypothesis by the first two authors. 
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    Free, publicly-accessible full text available December 1, 2025
  2. (, Inventiones mathematicae)
    We prove an asymptotic for the second moment of quadratic twists of a modular L-function. This was previously known conditionally on GRH by the work of Soundararajan and Young. 
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  3. ; ; ; (, Proceedings of the American Mathematical Society)
    We provide a criterion to determine whether a real multiplicative function is a strong Benford sequence. The criterion implies that the k k -divisor functions, where k ≠<#comment/> 10 j k \neq 10^j , and Hecke eigenvalues of newforms, such as Ramanujan tau function, are strong Benford. In contrast to some earlier work, our approach is based on Halász’s Theorem. 
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  4. ; ; (, Mathematische Zeitschrift)
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  5. ; ; ; (, Journal of the European Mathematical Society)
    null (Ed.)
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