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» Generating Kummer Type Formulas for Hypergeometric Functions
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DAGSTUHL
2003
13 years 8 months ago
Generating Kummer Type Formulas for Hypergeometric Functions
Abstract. Kummer type formulas are identities of hypergeometric series. A symmetry by the permutations of n-letters yields these formulas. We will present an algorithmic method to ...
Nobuki Takayama
ANTS
2010
Springer
216views Algorithms» more  ANTS 2010»
13 years 10 months ago
Efficient Pairing Computation with Theta Functions
In this paper, we present a new approach based on theta functions to compute Weil and Tate pairings. A benefit of our method, which does not rely on the classical Miller's alg...
David Lubicz, Damien Robert
EJC
2011
13 years 2 months ago
Enumeration of connected Catalan objects by type
Noncrossing set partitions, nonnesting set partitions, Dyck paths, and rooted plane trees are four classes of Catalan objects which carry a notion of type. There exists a product f...
Brendon Rhoades
ADCM
2010
129views more  ADCM 2010»
13 years 7 months ago
Construction of positive definite cubature formulae and approximation of functions via Voronoi tessellations
Let Rd be a compact convex set of positive measure. In a recent paper, we established a definiteness theory for cubature formulae of order two on . Here we study extremal propert...
Allal Guessab, Gerhard Schmeisser
TAP
2010
Springer
132views Hardware» more  TAP 2010»
14 years 12 days ago
Relational Analysis of (Co)inductive Predicates, (Co)algebraic Datatypes, and (Co)recursive Functions
This paper presents techniques for applying a finite relational model finder to logical specifications that involve (co)inductive predicates, (co)algebraic datatypes, and (co)re...
Jasmin Christian Blanchette