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» Weighted forms of Euler's theorem
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DM
2007
135views more  DM 2007»
13 years 5 months ago
Heavy fans, cycles and paths in weighted graphs of large connectivity
A set of paths joining a vertex y and a vertex set L is called (y, L)-fan if any two of the paths have only y in common, and its width is the number of paths forming it. In weight...
Jun Fujisawa
EM
2010
154views Management» more  EM 2010»
13 years 9 days ago
Higher-Weight Heegner Points
In this paper we formulate a conjecture which partially generalizes the Gross-Kohnen-Zagier theorem to higher weight modular forms. For f S2k(N) satisfying certain conditions, we c...
Kimberly Hopkins
NA
2007
81views more  NA 2007»
13 years 5 months ago
Positive weight quadrature on the sphere and monotonicities of Jacobi polynomials
In 2000, Reimer proved that a positive weight quadrature rule on the unit sphere Sd ⊂ Rd+1 has the property of quadrature regularity. Hesse and Sloan used a related property, ca...
Paul C. Leopardi
DCG
2006
163views more  DCG 2006»
13 years 5 months ago
Isometry-Invariant Valuations on Hyperbolic Space
Abstract. Hyperbolic area is characterized as the unique continuous isometry invariant simple valuation on convex polygons in H2 . We then show that continuous isometry invariant s...
Daniel A. Klain
COMBINATORICS
1998
100views more  COMBINATORICS 1998»
13 years 5 months ago
Lattice Paths Between Diagonal Boundaries
A bivariate symmetric backwards recursion is of the form d[m, n] = w0(d[m− 1, n]+d[m, n−1])+ω1(d[m−r1, n−s1]+d[m−s1, n−r1])+· · ·+ωk(d[m−rk, n−sk] +d[m−sk, ...
Heinrich Niederhausen