Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Approximate functional equations for the Hurwitz and Lerch
  zeta-functions   As one of the asymptotic formulas for the zeta-function, Hardy and Littlewood
gave asymptotic formulas called the approximate functional equation. In 2003,
R. Garunk\v{s}tis, A. Laurin\v{c}ikas, and J. Steuding (in [1]) proved the
Riemann-Siegel type of the approximate functional equation for the Lerch
zeta-function $ \zeta_L (s, \alpha, \lambda ) = \sum_{n=0}^\infty e^{2\pi i n
\lambda}(n + \alpha)^{-s} $. In this paper, we prove another type of
approximate functional equations for the Hurwitz and Lerch zeta-functions. R.
Garunk\v{s}tis, A. Laurin\v{c}ikas, and J. Steuding (in \cite{GLS2}) obtained
the results on the mean square values of $ \zeta_L (\sigma + it, \alpha ,
\lambda) $ with respect to $ t $. We obtain the main term of the mean square
values of $ \zeta_L (1/2 + it, \alpha , \lambda) $ using a simpler method than
their method in [2].

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The categories of this paper are: nucl-th
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The categories of this paper are: adap-org
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The categories of this paper are: acc-phys
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The categories of this paper are: atom-ph
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The categories of this paper are: math-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-lat
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The categories of this paper are: plasm-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: nlin
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The categories of this paper are: mtrl-th
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The categories of this paper are: astro-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: eess
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The categories of this paper are: alg-geom