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Height pairings attached to other p -adic linear functionals can be degenerate; in fact, given an elliptic curve defined over Q with good ordinary reduction at p , and K a
A packet contains fields if and only if the corresponding wild partition is isotypical; in this case, the fields in the packets have total mass 1/m and the non-fields total mass 1
In [H] Humbert describes a generaliza- tion of the reduction theory for quadratic forms over Z where he considers totally positive forms, called Humbert forms, with integral
In particular, the classification the- ory of primitive integral binary quadratic forms by SL(2 , Z) is recovered. Explicit fundamental domains for Γ( D, N ) allow the
The dimension of a vector subspace is denoted by dim( · ).. Main results for rectangular coefficient matrices. In this section we shall consider two important cases with many
Kusuoka and Stroock [25, 26] have developed asymptotic expansions of certain Wiener functionals with degenerate extrema for processes on abstract Wiener space whilst Rossignol [27]
Theorem 2.11. Let A and B be two random matrix ensembles which are asymptotically free. In contrast to the first order case, we have now to run over two disjoint cycles in the
Representation of integers (or primes) by binary quadratic forms has an impor- tant role on the theory of numbers and many authors considered this problem.. In fact, this
