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- W1869534626 abstract "We introduce certain lattice sums associated with hyperplane arrangements, which are (multiple) sums running over integers, and can be regarded as generalizations of certain linear combinations of zeta-functions of root systems. We also introduce generating functions of special values of those lattice sums, and study their properties by virtue of the theory of convex polytopes. Consequently we evaluate special values of those lattice sums, especially certain special values of zeta-functions of root systems and their affine analogues. In some special cases it is possible to treat sums running over positive integers, which may be regarded as zeta-functions associated with hyperplane arrangements." @default.
- W1869534626 created "2016-06-24" @default.
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- W1869534626 date "2014-08-08" @default.
- W1869534626 modified "2023-10-14" @default.
- W1869534626 title "Lattice sums of hyperplane arrangements" @default.
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- W1869534626 doi "https://doi.org/10.14992/00010883" @default.
- W1869534626 hasPublicationYear "2014" @default.
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