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Publication - Dr Andrew Booker

    Rapid computation of L-functions attached to Maass forms

    Citation

    Booker, AR & Then, HL, 2018, ‘Rapid computation of L-functions attached to Maass forms’. International Journal of Number Theory, vol 14., pp. 1459-1485

    Abstract

    Let L be a degree-2 L-function associated to a Maass cusp form.We explore an algorithm that evaluates t values of L on the critical line in time O(t1+ε). We use this algorithm to rigorously compute an abundance of consecutive zeros and investigate their distribution.

    Full details in the University publications repository