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» Weighted forms of Euler's theorem
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DM
2007
135views more  DM 2007»
14 years 11 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»
14 years 6 months 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
85
Voted
NA
2007
81views more  NA 2007»
14 years 11 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»
14 years 11 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»
14 years 11 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