The n-queens completion problem [0.03%]
n后问题
Stefan Glock,David Munhá Correia,Benny Sudakov
Stefan Glock
An n-queens configuration is a placement of n mutually non-attacking queens on an n × n chessboard. The n-queens completion problem, introduced by Nauck in 1850, is to decide whether a given partial configuration can be completed to a...
Jan Draisma,Felipe Rincón
Jan Draisma
Every tropical ideal in the sense of Maclagan-Rincón has an associated tropical variety, a finite polyhedral complex equipped with positive integral weights on its maximal cells. This leads to the realisability question, ubiquitous in trop...
Mikko Salo,Henrik Shahgholian
Mikko Salo
We study a question arising in inverse scattering theory: given a penetrable obstacle, does there exist an incident wave that does not scatter? We show that every penetrable obstacle with real-analytic boundary admits such an incident wave....
Joseph J Klobusicky,John Fricks,Peter R Kramer
Joseph J Klobusicky
Analytical formulas for effective drift, diffusivity, run times, and run lengths are derived for an intracellular transport system consisting of a cargo attached to two cooperative but not identical molecular motors (for example, kinesin-1 ...
On coefficients of Poincaré series and single-valued periods of modular forms [0.03%]
关于普赫莱系列的系数及模形式单值周期的研究
Tiago J Fonseca
Tiago J Fonseca
We prove that the field generated by the Fourier coefficients of weakly holomorphic Poincaré series of a given level Γ 0 ( N ) and integral weight k ≥ 2 coincides with the field generated by the single-valued periods of a ce...
Georg Loho,Matthias Schymura
Georg Loho
We introduce a novel intrinsic volume concept in tropical geometry. This is achieved by developing the foundations of a tropical analog of lattice point counting in polytopes. We exhibit the basic properties and compare it to existing measu...
Søren Galatius,Oscar Randal-Williams
Søren Galatius
We construct certain operations on stable moduli spaces and use them to compare cohomology of moduli spaces of closed manifolds with tangential structure. We obtain isomorphisms in a stable range provided the p-adic valuation of the Euler c...
Charles F Doran,Tyler L Kelly,Adriana Salerno et al.
Charles F Doran et al.
We study the hypergeometric functions associated to five one-parameter deformations of Delsarte K3 quartic hypersurfaces in projective space. We compute all of their Picard-Fuchs differential equations; we count points using Gauss sums and ...
Residue class biases in unrestricted partitions, partitions into distinct parts, and overpartitions [0.03%]
剩余类在无限制分割、不同部分的分割和过度分割中的偏差
We prove specific biases in the number of occurrences of parts belonging to two different residue classes a and b, modulo a fixed nonnegative integer m, for the sets of unrestricted partitions, partitions into distinct parts, and overpartit...