Add to ORKGAbstract. 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. 1
We study intermediate sums, interpolating between integrals and discrete sums, which were introduced...
We study intermediate sums, interpolating between integrals and discrete sums, which were introduced...
Abstract. We study intermediate sums, interpolating between integrals and discrete sums, which were ...
It is known that Shintani zeta functions, which generalise multiple zeta functions, extend to meromo...
. A hyperplane arrangement is said to satisfy the "Riemann hypothesis" if all roots of its...
Hyperplane arrangements with a lattice of regions / Anders Björner, Paul H. Edelman, and Günter M. Z...
Hyperplane arrangements with a lattice of regions / Anders Björner, Paul H. Edelman, and Günter M. Z...
International audienceWe describe some particular finite sums of multiple zeta values which arise fr...
Hyperplane arrangements with a lattice of regions / Anders Björner, Paul H. Edelman, and Günter M. Z...
The convex hull of the roots of a classical root lattice is called a root polytope. We determine exp...
The convex hull of the roots of a classical root lattice is called a root polytope. We determine exp...
Abstract. We prove that for any finite real hyperplane arrangement the av-erage projection volumes o...
We study central hyperplane arrangements with integral coefficients modulo positive integers q. We p...
We study intermediate sums, interpolating between integrals and discrete sums, which were introduced...
We study intermediate sums, interpolating between integrals and discrete sums, which were introduced...
We study intermediate sums, interpolating between integrals and discrete sums, which were introduced...
We study intermediate sums, interpolating between integrals and discrete sums, which were introduced...
Abstract. We study intermediate sums, interpolating between integrals and discrete sums, which were ...
It is known that Shintani zeta functions, which generalise multiple zeta functions, extend to meromo...
. A hyperplane arrangement is said to satisfy the "Riemann hypothesis" if all roots of its...
Hyperplane arrangements with a lattice of regions / Anders Björner, Paul H. Edelman, and Günter M. Z...
Hyperplane arrangements with a lattice of regions / Anders Björner, Paul H. Edelman, and Günter M. Z...
International audienceWe describe some particular finite sums of multiple zeta values which arise fr...
Hyperplane arrangements with a lattice of regions / Anders Björner, Paul H. Edelman, and Günter M. Z...
The convex hull of the roots of a classical root lattice is called a root polytope. We determine exp...
The convex hull of the roots of a classical root lattice is called a root polytope. We determine exp...
Abstract. We prove that for any finite real hyperplane arrangement the av-erage projection volumes o...
We study central hyperplane arrangements with integral coefficients modulo positive integers q. We p...
We study intermediate sums, interpolating between integrals and discrete sums, which were introduced...
We study intermediate sums, interpolating between integrals and discrete sums, which were introduced...
We study intermediate sums, interpolating between integrals and discrete sums, which were introduced...
We study intermediate sums, interpolating between integrals and discrete sums, which were introduced...
Abstract. We study intermediate sums, interpolating between integrals and discrete sums, which were ...
