Sur un Problème de Rényi.
Nombres 𝓑-libres dans les petits intervalles
On the average number of unitary factors of finite abelian groups
Chen's double sieve, Goldbach's conjecture and the twin prime problem, 2
Power sums of Hecke eigenvalues and application
Chen's double sieve, Goldbach's conjecture and the twin prime problem
Distribution of values of Euler's function over integers free of large prime factors
The Selberg-Delange method in short intervals with an application
We establish a general mean value result for arithmetic functions over short intervals with the Selberg-Delange method. As an application, we generalize the Deshouillers-Dress-Tenenbaum arcsine law on divisors to the short interval case.
The prime number theorem in short intervals for automorphic L-functions
Patterns, Memory and Periodicity in Two-Neuron Delayed Recurrent Inhibitory Loops
We study the coexistence of multiple periodic solutions for an analogue of the integrate-and-fire neuron model of two-neuron recurrent inhibitory loops with delayed feedback, which incorporates the firing process and absolute refractory period. Upon receiving an excitatory signal from the excitatory neuron, the inhibitory neuron emits a spike with a pattern-related delay, in addition to the synaptic delay. We present a theoretical framework to view...
On the Exponential Divisor Function
Sums of some multiplicative functions over a special set of integers
Extreme values of symmetric power L-functions at 1
Small gaps in coefficients of -functions and -free numbers in short intervals.
Integral power sums of Hecke eigenvalues
Spread Pattern Formation of H5N1-Avian Influenza and its Implications for Control Strategies
Mechanisms contributing to the spread of avian influenza seem to be well identified, but how their interplay led to the current worldwide spread pattern of H5N1 influenza is still unknown due to the lack of effective global surveillance and relevant data. Here we develop some deterministic models based on the transmission cycle and modes of H5N1 and focusing on the interaction among poultry, wild birds and environment. Some of the model parameters are obtained from existing literatures, and others...
Level sets of univalent functions.
Pre-symptomatic Influenza Transmission, Surveillance, and School Closings: Implications for Novel Influenza A (H1N1)
Early studies of the novel swine-origin 2009 influenza A (H1N1) epidemic indicate clinical attack rates in children much higher than in adults. Non-medical interventions such as school closings are constrained by their large socio-economic costs. Here we develop a mathematical model to ascertain the roles of pre-symptomatic influenza transmission as well as symptoms surveillance of children to assess the utility of school closures. Our model analysis...
Monotone semiflows generated by neutral equations with different delays in neutral and retarded parts.
Geometric finiteness theorem via controlled topology (Erratum).
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