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Concept

Somme (arithmétique)

Publications associées (11)

Succinct ordering and aggregation constraints in algebraic array theories

Viktor Kuncak, Rodrigo Raya

We discuss two extensions to a recently introduced theory of arrays, which are based on considerations coming from the model theory of power structures. First, we discuss how the ordering relation on the index set can be expressed succinctly by referring t ...

Elsevier Science Inc2024

Loops in AdS: from the spectral representation to position space

Din Carmi

We compute a family of scalar loop diagrams in AdS. We use the spectral representation to derive various bulk vertex/propagator identities, and these identities enable to reduce certain loop bubble diagrams to lower loop diagrams, and often to tree- level ...

Springer Nature2020

Propagation of fluid driven fractures in transversely isotropic material

Fatima-Ezzahra Moukhtari

The propagation of fluid driven fractures is used in a number of industrial applications (well stimulation of unconventional reservoirs, development of deep geothermal systems) but also occurs naturally (magmatic dyke intrusion). While the mechanics of hyd ...

EPFL2020

On Short Sums Of Trace Functions

Philippe Michel, Chandra Sekhar Raju

We consider sums of oscillating functions on intervals in cyclic groups of size close to the square root of the size of the group. We first prove non-trivial estimates for intervals of length slightly larger than this square root (bridging the "Polya-Vinog ...

Annales Inst Fourier2017

Some applications of smooth bilinear forms with Kloosterman sums

Philippe Michel

We revisit a recent bound of I. Shparlinski and T. Zhang on bilinear forms with Kloosterman sums, and prove an extension for correlation sums of Kloosterman sums against Fourier coefficients of modular forms. We use these bounds to improve on earlier resul ...

Maik Nauka/Interperiodica/Springer2017

Partition function on spheres: How to use zeta function regularization

Alexander Monin

It is known that not all summation methods are linear and stable. Zeta function regularization is in general nonlinear. However, in some cases formal manipulations with zeta function regularization (assuming linearity of sums) lead to correct results. We c ...

American Physical Society2016

Algebraic Trace Functions Over The Primes

Philippe Michel

We study sums over primes of trace functions of l-adic sheaves. Using an extension of our earlier results on algebraic twists of modular forms to the case of Eisenstein series and bounds for Type II sums based on similar applications of the Riemann hypothe ...

Duke Univ Press2014

Obligatory averaging in mean size perception

Aire Raidvee

The perception of ensemble characteristics is often regarded as an antidote to an established bottleneck in focused attention and working memory, both of which appear to be limited in capacity to a few objects only. In order to test the associative law of ...

Elsevier2014

The weighted averages method for semi-infinite range integrals involving products of Bessel functions

Juan Ramon Mosig, Ruzica Golubovic

An efficient and accurate method, based on the weighted averages (WA) extrapolation technique, is presented for the evaluation of semi-infinite range integrals involving products of Bessel functions of arbitrary order. The method requires splitting the int ...

Institute of Electrical and Electronics Engineers2013

Discrete choice models with multiplicative error terms

Michel Bierlaire

The conditional indirect utility of many random utility maximization (RUM) discrete choice models is specified as a sum of an index V depending on observables and an independent random term. In general, the universe of RUM consistent models is much larger, ...

2009

Discrete choice models with multiplicative error terms

Michel Bierlaire

The conditional indirect utility of many random utility maximization (RUM) discrete choice models is specified as a sum of an index V depending on observables and an independent random term P. In general, the universe of RUM consistent models is much large ...

2007

Publications associées (11)

Succinct ordering and aggregation constraints in algebraic array theories

Viktor Kuncak, Rodrigo Raya

Elsevier Science Inc2024

Loops in AdS: from the spectral representation to position space

Din Carmi

Springer Nature2020

Propagation of fluid driven fractures in transversely isotropic material

Fatima-Ezzahra Moukhtari

EPFL2020

On Short Sums Of Trace Functions

Philippe Michel, Chandra Sekhar Raju

Annales Inst Fourier2017

Some applications of smooth bilinear forms with Kloosterman sums

Philippe Michel

Maik Nauka/Interperiodica/Springer2017

Partition function on spheres: How to use zeta function regularization

Alexander Monin

American Physical Society2016

Algebraic Trace Functions Over The Primes

Philippe Michel

Duke Univ Press2014

Obligatory averaging in mean size perception

Aire Raidvee

Elsevier2014

The weighted averages method for semi-infinite range integrals involving products of Bessel functions

Juan Ramon Mosig, Ruzica Golubovic

Institute of Electrical and Electronics Engineers2013

Discrete choice models with multiplicative error terms

Michel Bierlaire

2009

Discrete choice models with multiplicative error terms

Michel Bierlaire

The conditional indirect utility of many random utility maximization (RUM) discrete choice models is specified as a sum of an index V depending on observables and an independent random term P. In general, the universe of RUM consistent models is much large ...

2007