Research output: Contribution to journal › Article › peer-review

**A fast algorithm to compute L(1/2, f x χ_{q}).** / Vishe, Pankaj.

Research output: Contribution to journal › Article › peer-review

Vishe, P 2013, 'A fast algorithm to compute *L*(1/2, *f* x χ_{q})', *Journal of Number Theory*, vol. 133, no. 5, pp. 1502-1524. https://doi.org/10.1016/j.jnt.2012.10.005

Vishe, P. (2013). A fast algorithm to compute *L*(1/2, *f* x χ_{q}). *Journal of Number Theory*, *133*(5), 1502-1524. https://doi.org/10.1016/j.jnt.2012.10.005

Vishe P. A fast algorithm to compute *L*(1/2, *f* x χ_{q}). Journal of Number Theory. 2013 May;133(5):1502-1524. https://doi.org/10.1016/j.jnt.2012.10.005

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title = "A fast algorithm to compute L(1/2, f x χq)",

abstract = "Let $f$ be a fixed (holomorphic or Maass) modular cusp form. Let $\cq$ be a Dirichlet character mod $q$. We describe a fast algorithm that computes the value $L(1/2,f\times\chi_q)$ up to any specified precision. In the case when $q$ is smooth or highly composite integer, the time complexity of the algorithm is given by $O(1+|q|^{5/6+o(1)})$.",

keywords = "math.NT",

author = "Pankaj Vishe",

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N2 - Let $f$ be a fixed (holomorphic or Maass) modular cusp form. Let $\cq$ be a Dirichlet character mod $q$. We describe a fast algorithm that computes the value $L(1/2,f\times\chi_q)$ up to any specified precision. In the case when $q$ is smooth or highly composite integer, the time complexity of the algorithm is given by $O(1+|q|^{5/6+o(1)})$.

AB - Let $f$ be a fixed (holomorphic or Maass) modular cusp form. Let $\cq$ be a Dirichlet character mod $q$. We describe a fast algorithm that computes the value $L(1/2,f\times\chi_q)$ up to any specified precision. In the case when $q$ is smooth or highly composite integer, the time complexity of the algorithm is given by $O(1+|q|^{5/6+o(1)})$.

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