Concept

Fermat's theorem on sums of two squares

Related publications (6)

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Compact high order finite volume method on unstructured grids IV: Explicit multi-step reconstruction schemes on compact stencil

Qian Wang

In the present paper, a multi-step reconstruction procedure is proposed for high order finite volume schemes on unstructured grids using compact stencil. The procedure is a recursive algorithm that can eventually provide sufficient relations for high order ...

2019

Petersson inner products of weight-one modular forms

Maryna Viazovska

In this paper we study the regularized Petersson product between a holomorphic theta series associated to a positive definite binary quadratic form and a weakly holomorphic weight-one modular form with integral Fourier coefficients. In [18], we proved that ...

2019

Equidistribution of Heegner points and ternary quadratic forms

Dimitar Petkov Jetchev

We prove new equidistribution results for Galois orbits of Heegner points with respect to single reduction maps at inert primes. The arguments are based on two different techniques: primitive representations of integers by quadratic forms and distribution ...

Springer Verlag2011

Cryptographic Hash Functions in Groups and Provable Properties

Juraj Sarinay

We consider several "provably secure" hash functions that compute simple sums in a well chosen group (G,*). Security properties of such functions provably translate in a natural way to computational problems in G that are simple to define and possibly also ...

EPFL2011

Hoo optimality of the LMS algorithm

Ali H. Sayed

We show that the celebrated least-mean squares (LMS) adaptive algorithm is H/sup /spl infin// optimal. The LMS algorithm has been long regarded as an approximate solution to either a stochastic or a deterministic least-squares problem, and it essentially a ...

Institute of Electrical and Electronics Engineers1996

A unified derivation of square-root multichannel least-squares filtering algorithms

Ali H. Sayed

The authors present a new derivation of exact least-squares multichannel and multidimensional adaptive algorithms, based on explicitly formulating the problem as a state-space estimation problem and then using different square-root versions of the Kalman, ...

IEEE1993