Publications related to Annihilating polynomials of excellent quadratic forms

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On Moments Of Twisted L-Functions

Philippe Michel

We study the average of the product of the central values of two L-functions of modular forms f and g twisted by Dirichlet characters to a large prime modulus q. As our principal tools, we use spectral theory to develop bounds on averages of shifted convol ...

Johns Hopkins Univ Press2017

Sampling and Reconstruction of Shapes with Algebraic Boundaries

Martin Vetterli, Arash Amini, Mitra Fatemi

We present a sampling theory for a class of binary images with finite rate of innovation (FRI). Every image in our model is the restriction of

\mathds{1}_{\{p\leq0\}}

to the image plane, where

\mathds{1}

denotes the indicator function and

p

is some r ...

2016

Quadratic Sieving

Thorsten Kleinjung

We propose an efficient variant for the initialisation step of quadratic sieving, the sieving step of the quadratic sieve and its variants, which is also used in sieving-based algorithms for computing class groups of quadratic fields. As an application we ...

American Mathematical Society2016

Isometries of quadratic spaces

Eva Bayer Fluckiger

Let k be a global field of characteristic not 2, and let f is an element of k[X] be an irreducible polynomial. We show that a non-degenerate quadratic space has an isometry with minimal polynomial f if and only if such an isometry exists over all the compl ...

European Mathematical Soc2015

Sesquilinear forms over rings with involution

Eva Bayer Fluckiger, Daniel Arnold Moldovan

Many classical results concerning quadratic forms have been extended to Hermitian forms over algebras with involution. However, not much is known in the case of sesquilinear forms without any symmetry property. The present paper will establish a Witt cance ...

Elsevier2014

Communication: Double-hybrid functionals from adiabatic-connection: The QIDH model

Eric Albert Georges Bremond

A new approach stemming from the adiabatic-connection (AC) formalism is proposed to derive parameter-free double-hybrid (DH) exchange-correlation functionals. It is based on a quadratic form that models the integrand of the coupling parameter, whose compon ...

Amer Inst Physics2014

On Sub-determinants and the Diameter of Polyhedra

Friedrich Eisenbrand, Martin Niemeier, Marco Di Summa, Nicolas Bonifas

We derive a new upper bound on the diameter of a polyhedron , where . The bound is polynomial in and the largest absolute value of a sub-determinant of , denoted by . More precisely, we show that the diameter of is bounded by . If is bounded, then we show ...

Springer2014

Continuation of equilibria and stability of slender elastic rods using an asymptotic numerical method

Pedro Miguel Nunes Pereira de Almeida Reis

We present a theoretical and numerical framework to compute bifurcations of equilibria and stability of slender elastic rods. The 3D kinematics of the rod is treated in a geometrically exact way by parameterizing the position of the centerline and making u ...

Elsevier2013

Sampling and Reconstruction of Shapes with Algebraic Boundaries

Martin Vetterli, Arash Amini, Mitra Fatemi

We present a sampling theory for a class of binary images with finite rate of innovation (FRI). Every image in our model is the restriction of

\mathds{1}_{\{p\leq0\}}

to the image plane, where

\mathds{1}

denotes the indicator function and

p

is some r ...

2016

Annihilating polynomials of excellent quadratic forms

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On Moments Of Twisted L-Functions

Sampling and Reconstruction of Shapes with Algebraic Boundaries

Quadratic Sieving

Isometries of quadratic spaces

CM values of higher Green's functions and regularized Petersson products

Sums Of Squares In Algebraic Function Fields Over A Complete Discretely Valued Field

Sesquilinear forms over rings with involution

Communication: Double-hybrid functionals from adiabatic-connection: The QIDH model

On Sub-determinants and the Diameter of Polyhedra

Continuation of equilibria and stability of slender elastic rods using an asymptotic numerical method

Sampling and Reconstruction of Shapes with Algebraic Boundaries

CM values of higher Green's functions and regularized Petersson products

Sesquilinear forms over rings with involution

Sums Of Squares In Algebraic Function Fields Over A Complete Discretely Valued Field

On Moments Of Twisted L-Functions

Quadratic Sieving

Isometries of quadratic spaces

Communication: Double-hybrid functionals from adiabatic-connection: The QIDH model

On Sub-determinants and the Diameter of Polyhedra

Continuation of equilibria and stability of slender elastic rods using an asymptotic numerical method