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» Generating Kummer Type Formulas for Hypergeometric Functions
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97
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DAGSTUHL
2003
15 years 4 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»
15 years 6 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
128
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EJC
2011
14 years 9 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»
15 years 2 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
122
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TAP
2010
Springer
132views Hardware» more  TAP 2010»
15 years 7 months 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