## A fast algorithm to compute L(1/2, f x χq)

Research output: Contribution to journalArticlepeer-review

### Standard

A fast algorithm to compute L(1/2, f x χq). / Vishe, Pankaj.

In: Journal of Number Theory, Vol. 133, No. 5, 05.2013, p. 1502-1524.

Research output: Contribution to journalArticlepeer-review

### Harvard

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

### APA

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

### Vancouver

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

### Author

Vishe, Pankaj. / A fast algorithm to compute L(1/2, f x χq). In: Journal of Number Theory. 2013 ; Vol. 133, No. 5. pp. 1502-1524.

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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 $O(1+|q|^{5/6+o(1)})$.",
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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 $O(1+|q|^{5/6+o(1)})$.

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