Concept
Pythagorean triple
Related publications (12)
Extractable Witness Encryption for the Homogeneous Linear Equations Problem
Serge Vaudenay, Bénédikt Minh Dang Tran
Witness encryption is a cryptographic primitive which encrypts a message under an instance of an NP language and decrypts the ciphertext using a witness associated with that instance. In the current state of the art, most of the witness encryption construc ...
Springer2023Geometric Algebra for Optimal Control With Applications in Manipulation Tasks
Many problems in robotics are fundamentally problems of geometry, which have led to an increased research effort in geometric methods for robotics in recent years. The results were algorithms using the various frameworks of screw theory, Lie algebra, and d ...
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC2023A short note on inadmissible coefficients of weight 2 and 2k+1 newforms
Malik Amir, Andreas Hatziiliou
Let f(z)=q+∑n≥2a(n)qn be a weight k normalized newform with integer coefficients and trivial residual mod 2 Galois representation. We extend the results of Amir and Hong in Amir and Hong (On L-functions of modular elliptic curves and certain K3 surfaces, R ...
2021On the Density of Coprime Tuples of the Form (n, ⌊f1(n)⌋, …, ⌊fk(n)⌋), Where f_1, …, f_k Are Functions from a Hardy Field
Let k∈Nk∈Nk \in \mathbb{N} and let f1, …, f k belong to a Hardy field. We prove that under some natural conditions on the k-tuple ( f1, …, f k ) the density of the set {n∈N:gcd(n,⌊f1(n)⌋,…,⌊fk(n)⌋)=1}{n∈N:gcd(n,⌊f1(n)⌋,…,⌊fk(n)⌋)=1}\displaystyle{\big{n \i ...
Springer International Publishing2017On The Exponent Of Distribution Of The Ternary Divisor Function
We show that the exponent of distribution of the ternary divisor function d(3) in arithmetic progressions to prime moduli is at least 1/2 + 1/46, improving results of Friedlander-Iwaniec and Heath-Brown. Furthermore, when averaging over a fixed residue cla ...
London Mathematical Society, Cambridge2015Unconventional quantum ordered and disordered states in the highly frustrated spin-1/2 Ising-Heisenberg model on triangles-in-triangles lattices
The spin-1/2 Ising-Heisenberg model on two geometrically related triangles-in-triangles lattices is exactly solved through the generalized star-triangle transformation, which establishes a rigorous mapping correspondence with the effective spin-1/2 Ising m ...
Amer Physical Soc2013Geometries and vibrational frequencies of small radicals: Performance of Coupled Cluster and more approximate methods
Jeremy Samuel Arey, Peter Rudolf Tentscher
We generated a new set of reference geometries of small radicals using experimental equilibrium structures, as well as a benchmark-quality coupled cluster additivity scheme including up to quadruples excitations (CCSDTQ). Using these geometries and a set o ...
2012Triangle generation of finite exceptional groups of low rank
Given a triple (p(1), p(2), p(3)) of primes, the object of this paper is the study of the space Hom(T-p1,T-p2,T-p3, G) of homomorphisms from the triangle group T-p1,T-p2,T-p3 to a finite simple exceptional group G of Lie type B-2(2), (2)G(2), G(2) or D-3(4 ...
Elsevier2011Vibration-Based Parameter Identification of Large Scale Offshore Structures
Structural health monitoring has increasingly become a hot research topic for engineering structures. While much improvement has been made in advances of sensing, communication and computer technologies, identification of structural parameters based on vib ...
2011Ideal knots and other packing problems of tubes
This thesis concerns optimal packing problems of tubes, or thick curves, where thickness is defined as follows. Three points on a closed space curve define a circle. Taking the infimum over all radii of pairwise-distinct point triples defines the thickness ...
EPFL2010