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- W1596716743 abstract "Simple unsmoothed formulas to compute the Riemann zeta function, and Dirichlet $L$-functions to a power-full modulus, are derived by elementary means (Taylor expansions and the geometric series). The formulas enable square-root of the analytic conductor complexity, up to logarithmic loss, and have an explicit remainder term that is easy to control. The formula for zeta yields a convexity bound of the same strength as that from the Riemann-Siegel formula, up to a constant factor. Practical parameter choices are discussed." @default.
- W1596716743 created "2016-06-24" @default.
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- W1596716743 date "2015-10-15" @default.
- W1596716743 modified "2023-09-24" @default.
- W1596716743 title "An alternative to Riemann-Siegel type formulas" @default.
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- W1596716743 doi "https://doi.org/10.1090/mcom/3019" @default.
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