Publication

On the distribution of squarefree integers in arithmetic progressions

Related publications (78)

ActiveAx(ADD): Toward non-parametric and orientationally invariant axon diameter distribution mapping using PGSE

Jean-Philippe Thiran, David Paul Roger Romascano, Alessandro Daducci, Muhamed Barakovic, Tim Bjørn Dyrby

Purpose Non-invasive axon diameter distribution (ADD) mapping using diffusion MRI is an ill-posed problem. Current ADD mapping methods require knowledge of axon orientation before performing the acquisition. Instead, ActiveAx uses a 3D sampling scheme to e ...

2019

An Analysis of the Distribution of Inter-Flash Time Intervals in the Area of the Santis Tower

Marcos Rubinstein, Antonio Sunjerga

In this paper we analyzed the time intervals between flashes in the Santis area for three highly active storms and also for a period of 21 months. The overall distributions of inter-flash time interval are found to be very similar and reasonably represente ...

IEEE2018

Design Space of Modular Slab Systems with Discrete Stiffness Distribution and Irregular Column Layout

Corentin Jean Dominique Fivet, Jan Friedrich Georg Brütting, Dario Redaelli, Alex-Manuel Muresan

A known challenge of modular structural systems is to avoid the oversizing of its elements while allowing a wide variety of spatial layouts. Considering any given floor outline and the availability of square slab elements with three discrete bending and sh ...

2018

, ,

All organisms leave traces of DNA in their environment. This environmental DNA (eDNA) is often used to track occurrence patterns of target species. Applications are especially promising in rivers, where eDNA can integrate information about populations upst ...

2018

Demonstration of Multiple Kerr-Frequency-Comb Generation Using Different Lines from Another Kerr Comb Located up to a 50 km Distance

Tobias Kippenberg, Maxim Karpov, Martin Hubert Peter Pfeiffer, Arne Kordts, Fatemeh Alishahi, Lin Zhang, Ahmad Fallahpour

We experimentally demonstrate multiple Kerr-frequency-comb generation using different lines from another Kerr comb located up to a 50 km distance. The master and generated slave combs are mutually coherent and have a small variance of frequency error. ...

IEEE2018

Bilinear forms with Kloosterman sums and applications

Philippe Michel

We prove nontrivial bounds for general bilinear forms in hyper-Kloosterman sums when the sizes of both variables may be below the range controlled by Fourier-analytic methods (Polya-Vinogradov range). We then derive applications to the second moment of cus ...

Annal Mathematics2017

The structural role of the core literature in history

Giovanni Colavizza

The intellectual landscapes of the humanities are mostly uncharted territory. Little is known on the ways published research of humanist scholars defines areas of intellectual activity. An open question relates to the structural role of core literature: hi ...

Springer Verlag2017

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Complex fenestration systems (CFS) designed to collect and redirect daylight from the sky-vault are generally placed on the upper part of a window in order to improve the distribution of indoor daylight. Due to their additional function as solar protection ...

Taylor & Francis2017

On The Least Squarefree Number In An Arithmetic Progression

Ramon Moreira Nunes

We prove an asymptotic formula for squarefree numbers in arithmetic progressions, improving previous results by Prachar and Hooley. As a consequence we improve a lower bound of Heath-Brown for the least squarefree number in an arithmetic progression. ...

London Math Soc2017

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Lightning location systems (LLSs) are often used to obtain parameters of lightning flashes. However, the imperfect detection efficiency (DE) of these systems affects the accuracy of the results. In this paper, we focus on the effects of the imperfect DE on ...

Ieee2016

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