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- W2951215619 abstract "We provide a general theorem for evaluating trigonometric Dirichlet series of the form $sum_{n geq 1} frac{f (pi n tau)}{n^s}$, where $f$ is an arbitrary product of the elementary trigonometric functions, $tau$ a real quadratic irrationality and $s$ an integer of the appropriate parity. This unifies a number of evaluations considered by many authors, including Lerch, Ramanujan and Berndt. Our approach is based on relating the series to combinations of derivatives of Eichler integrals and polylogarithms." @default.
- W2951215619 created "2019-06-27" @default.
- W2951215619 creator A5005873899 @default.
- W2951215619 date "2014-07-18" @default.
- W2951215619 modified "2023-09-27" @default.
- W2951215619 title "Special values of trigonometric Dirichlet series and Eichler integrals" @default.
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