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In this section we give examples that illustrate how to use Theorem 5.4.2 to prove existence of elements of the Shafarevich–Tate group of a newform sub- variety of J 0( N ) (for 767
In this section we will consider constructing optimal jumping patterns to infinity along the real numbers for certain weight functions.. Our main result will be to show that
When L is a Riordan matrix (see Section 2) using ordinary or exponential generating functions, our method will find a closed form expression for the generating function of the
In this section, we will prove Theorem 1, but first we note the following lemma, which is a direct consequence of the definitions of the Stern sequence and its twist..
EJQTDE, 2004 No.. We will deal with a first order func- tional boundary value problem on an infinite interval, seeking positive non-zero solutions. In Section 1 we state the
The necessary and sufficient condition in Theorem 1.1 seems stronger than that from [1, Th.3.2], but they are equivalent in our case, as we will see in Section 3.. And in Section
In this section, we develop methods of obtaining the Gaussian quadrature rules for strong exten- sions of moment distribution functions obtained via the transformation theorem.. The
By arguments of De Vylder and Goovaerts (1999, Section 6) the validity of results in the classical model can often be extended to any homogeneous model.. By the discussion at the end
