Some triple series and triple integral equations

The Study of Triple Integral Equations with Generalized Legendre Functions

Triple Integral Identities and Zeta Functions

Some new perfect Steiner triple systems

In a Steiner triple system STS(v)=(V,B), for each pair {a, b} ⊂ V , the cycle graph Ga,b can be defined as follows. The vertices of Ga,b are V \{a, b, c} where {a, b, c} ∈ B. {x, y} is an edge if either {a, x, y} or {b, x, y} ∈ B. The Steiner triple system is said to be perfect if the cycle graph of every pair is a single (v − 3)-cycle. Perfect STS(v) are known only for v = 7, 9, 25 and 33. We ...

Some bicyclic antiautomorphisms of directed triple systems

A transitive triple, (a, b, c), is defined to be the set {(a, b), (b, c), (a, c)} of ordered pairs. A directed triple system of order v, DTS(v), is a pair (D, β), where D is a set of v points and β is a collection of transitive triples of pairwise distinct points of D such that any ordered pair of distinct points of D is contained in precisely one transitive triple of β. An antiautomorphism of ...

INVARIANT TRIPLE PRODUCTS 2 1 Representations and Integral formulae

Let G = PGL2(R) and let π1, π2, π3 be irreducible admissible smooth representations of G. The the space of G-invariant trilinear forms on π1 ×π2 × π3 is at most one dimensional. This has, in different contexts, been proved by Loke [5], Molchanov [6] and Oksak [7]. In this paper we ask for such a uniqueness result in the context of arbitrary semisimple groups. We show that uniqueness for general...