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Creators/Authors contains: "Khan, Rizwanur"

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  1. (, Proceedings of the American Mathematical Society)
    We prove a reciprocity relation for the twisted second moment of the Riemann Zeta function. This provides an analogue to a formula of Conrey for Dirichlet L L -functions. 
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    Free, publicly-accessible full text available January 1, 2026
  2. ; (, Mathematische Annalen)
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  3. (, Transactions of the American Mathematical Society)
    We prove hybrid subconvexity bounds for twisted L L -functions L ( s , f × χ ) L(s,f\times \chi ) at the central point using a fourth moment estimate, including a new instance of the Burgess subconvexity bound. 
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  4. ; (, Mathematika)
    Abstract There has recently been some interest in optimizing the error term in the asymptotic for the fourth moment of DirichletL‐functions and a closely related mixed moment ofL‐functions involving automorphicL‐functions twisted by Dirichlet characters. We obtain an improvement for the error term of the latter. 
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  5. ; ; (, Mathematische Zeitschrift)
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  6. ; (, Journal of the Institute of Mathematics of Jussieu)
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  7. ; ; (, Journal of Number Theory)
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  8. (, The Quarterly Journal of Mathematics)
    null (Ed.)
    Abstract We prove hybrid subconvexity bounds for a wide class of twisted L-functions L(s, f × χ) at the central point, including a new instance of the Weyl subconvexity bound. 
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