Computation of Hilbert sequence for composite quadratic extensions using different type of primes in .
Investigations of zeros near the central point of elliptic curve -functions (with an appendix by Eduardo Dueñez).
An identity for sums of polylogarithm functions.
Weak cartesian product of graphs
Lower order terms in the 1-level density for families of holomorphic cuspidal newforms
Normed spaces of generalized functions
The n-level densities of low-lying zeros of quadratic Dirichlet L-functions
Previous work by Rubinstein and Gao computed the n-level densities for families of quadratic Dirichlet L-functions for test functions f̂₁, ..., f̂ₙ supported in , and showed agreement with random matrix theory predictions in this range for n ≤ 3 but only in a restricted range for larger n. We extend these results and show agreement for n ≤ 7, and reduce higher n to a Fourier transform identity. The proof involves adopting a new combinatorial perspective to convert all terms to a canonical form,...
An orthogonal test of the L-functions Ratios Conjecture, II
Benford's law, values of L-functions and the 3x+1 problem
An analysis of the Scharfetter-Gummel box method for the stationary semiconductor device equations
A triangular mixed finite element method for the stationary semiconductor device equations
En ε-uniformly convergent non-conforming finite element method for a singularly perturbed elliptic problem in two dimensions
Modeling and simulation of a blood pump for the development of a left ventricular assist system controller
A mathematical model describing the pressure-volume relationship of the Novacor left ventricular assist system (LVAS) was developed. The model consisted of lumped resistance, capacitance, and inductance elements with one time-varying capacitor to simulate the cyclical pressure generation of the system. The ejection and filling portions of the pump cycle were modeled with two separate functions. The corresponding model parameters were estimated by least squares fit to experimental data obtained in...
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