Abstract
For 0 < α ≤ 1 and 0 < λ ≤ 1, λ rational, we consider the sum of values of the Lerch zeta-function L(λ, α, s) taken at the nontrivial zeros of the Dirichlet L-function L(s, χ), where \(\chi \bmod Q\), Q ≥ 1, is a primitive Dirichlet character.
Dedicated to the memory of Professor Wolfgang Schwarz
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Acknowledgement
The authors are supported by grant No. MIP-049/2014 from the Research Council of Lithuania.
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Garunkštis, R., Kalpokas, J. (2016). Sum of the Lerch Zeta-Function over Nontrivial Zeros of the Dirichlet \(\boldsymbol{L}\)-Function. In: Sander, J., Steuding, J., Steuding, R. (eds) From Arithmetic to Zeta-Functions. Springer, Cham. https://doi.org/10.1007/978-3-319-28203-9_10
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DOI: https://doi.org/10.1007/978-3-319-28203-9_10
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