among different models for runoff estimation in watershed management, the soil conservation services-curve number (scs-cn) method along with its modifications have been widely applied to ungauged watersheds because of quickly and more accurate estimation of surface runoff. this approach has been widely accepted by hydrologists, water resources planners, foresters, and engineers, as well. theref...

In this paper we study the equation m−n = py,where p is a prime natural number, p≥ 3. Using the above result, we study the equations x + 6pxy + py = z and the equations ck(x 4 + 6pxy + py) + 4pdk(x y + pxy) = z, where the prime number p ∈ {3, 7, 11, 19} and (ck, dk) is a solution of the Pell equation, either of the form c −pd = 1 or of the form c − pd = −1. I. Preliminaries. We recall some nece...

In this paper, we introduce a new approach to the generation of binary sequences by applying trace functions to elliptic curves over GF (2). We call these sequences elliptic curve pseudorandom sequences (EC-sequence). We determine their periods, distribution of zeros and ones, and linear spans for a class of EC-sequences generated from supersingular curves. We exhibit a class of EC-sequences wh...

For an elliptic curve E over Q and an integer r let πr E(x) be the number of primes p ≤ x of good reduction such that the trace of the Frobenius morphism of E/Fp equals r. We consider the quantity π r E(x) on average over certain sets of elliptic curves. More in particular, we establish the following: If A,B > x1/2+ε and AB > x3/2+ε, then the arithmetic mean of πr E(x) over all elliptic curves ...

The specializations of the motivic elliptic polylogarithm on the universal elliptic curve to the modular curve are referred to as Eisenstein classes. In this paper, we prove that the syntomic realization of the Eisenstein classes restricted to the ordinary locus of the modular curve may be expressed using p-adic Eisenstein series of negative weight, which are p-adic modular forms defined using ...

We present a generalized model to assess the impact of regionalization on patient care outcomes in the presence of heterogeneity in provider learning. The model characterizes best regionalization policies as optimal allocations of patients across providers with heterogeneous learning abilities. We explore issues that arise when solving for best regionalization, which depends on statistically es...