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  1. No Access

    Article

    A \(\mathrm {GL}_3\) analog of Selberg’s result on S(t)

    Let \(S(t,F):=\pi ^{-1}\arg L\big (\frac{1}{2}+it,F\big ),\) S ...

    Sheng-Chi Liu, Shenhui Liu in The Ramanujan Journal (2021)

  2. No Access

    Article

    Mollification and non-vanishing of automorphic L-functions On GL(3)

    We prove a non-vanishing result for central values of L-functions on GL(3), by using the mollification method and the Kuznetsov trace formula.

    Bingrong Huang, Shenhui Liu, Zhao Xu in Israel Journal of Mathematics (2018)

  3. No Access

    Article

    The first moment of central values of symmetric square L-functions in the weight aspect

    We establish an asymptotic formula with arbitrary power saving for the first moment of the symmetric square L-functions $$L(s,\mathrm{...

    Shenhui Liu in The Ramanujan Journal (2018)

  4. No Access

    Article

    On central L-derivative values of automorphic forms

    We study the average and nonvanishing of the central L-derivative values of L(s, f) and \(L(s,f_{K_{\scriptscriptstyle D}})\) ...

    Shenhui Liu in Mathematische Zeitschrift (2018)