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

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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

Shimura Curves and Special Values of p-adic L-functions

Ernest Hunter Brooks

We construct "generalized Heegner cycles" on a variety fibered over a Shimura curve, defined over a number field. We show that their images under the p-adic Abel-Jacobi map coincide with the values (outside the range of interpolation) of a p-adic L-functio ...

Oxford University Press2015

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

Bounds for the Euclidean minima of function fields

Piotr Aleksander Maciak

In this paper, we define Euclidean minima for function fields and give some bound for this invariant. We furthermore show that the results are analogous to those obtained in the number field case. (C) 2013 The Authors. Published by Elsevier Inc. All rights ...

Academic Press Inc Elsevier Science2014

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

Modular Functions and Special Cycles

Maryna Viazovska

In this thesis we study algebraic cycles on Shimura varieties of orthogonal type. Such varieties are a higher dimensional generalization of modular curves and their important feature is that they have natural families of algebraic cycles in all codimesions ...

Rheinische Friedrich-Wilhelms-Universität Bonn2013

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

Multiple phase estimation in digital holographic interferometry using product cubic phase function

Pramod Rastogi, Rishikesh Dilip Kulkarni

Digital holographic interferometry (DHI) involves multi-directional illumination of an object to measure the in-plane and out-of plane displacements simultaneously. This results in multiple interference phases which have to be reliably estimated. The paper ...

Elsevier2013

On the size of Satake parameters for unitary cuspidal automorphic representations for GL(4)

Nahid Walji

Let Pi be a cuspidal automorphic representation for GL(4) over a number field F. We obtain unconditional lower bounds on the number of places at which the Satake parameters are not "too large". In the case of self-dual Pi with non-trivial central character ...

Academic Press Inc Elsevier Science2013

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

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Isometries of quadratic spaces

Shimura Curves and Special Values of p-adic L-functions

Lower bounds for Pythagoras numbers of function fields

Sesquilinear forms over rings with involution

Bounds for the Euclidean minima of function fields

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

Modular Functions and Special Cycles

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

Multiple phase estimation in digital holographic interferometry using product cubic phase function

On the size of Satake parameters for unitary cuspidal automorphic representations for GL(4)

Shimura Curves and Special Values of p-adic L-functions

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

Modular Functions and Special Cycles

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

Multiple phase estimation in digital holographic interferometry using product cubic phase function

Lower bounds for Pythagoras numbers of function fields

Bounds for the Euclidean minima of function fields

Isometries of quadratic spaces

Sesquilinear forms over rings with involution

On the size of Satake parameters for unitary cuspidal automorphic representations for GL(4)