Averages of Fourier coefficients of Siegel modular forms and representation of binary quadratic forms by quadratic forms in four variables
Sign Up to like & getrecommendations! Published in 2017 at "Mathematische Annalen"
DOI: 10.1007/s00208-016-1448-4
Abstract: Let $$-d$$-d be a a negative discriminant and let T vary over a set of representatives of the integral equivalence classes of integral binary quadratic forms of discriminant $$-d$$-d. We prove an asymptotic formula for… read more here.
Keywords: averages fourier; siegel modular; coefficients siegel; binary quadratic ... See more keywords
Theoretical and computational study of several linearisation techniques for binary quadratic problems
Sign Up to like & getrecommendations! Published in 2019 at "Annals of Operations Research"
DOI: 10.1007/s10479-018-3118-2
Abstract: We perform a theoretical and computational study of the classical linearisation techniques (LT) and we propose a new LT for binary quadratic problems (BQPs). We discuss the relations between the linear programming (LP) relaxations of… read more here.
Keywords: quadratic problems; theoretical computational; binary quadratic; computational study ... See more keywords
Intersections of binary quadratic forms in primes and the paucity phenomenon
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Number Theory"
DOI: 10.1016/j.jnt.2021.06.035
Abstract: Abstract. The number of solutions to a+b = c+d ≤ x in integers is a well-known result, while if one restricts all the variables to primes Erdős [4] showed that only the diagonal solutions, namely,… read more here.
Keywords: binary quadratic; primes paucity; paucity; quadratic forms ... See more keywords
Fast decoding of binary quadratic residue codes
Sign Up to like & getrecommendations! Published in 2019 at "Electronics Letters"
DOI: 10.1049/el.2019.2143
Abstract: In a recent study, Li et al. proposed an algorithm for the decoding of binary quadratic residue codes with tiny memory requirements. In this Letter, this algorithm is modified in order to dramatically improve the… read more here.
Keywords: quadratic residue; residue codes; binary quadratic; fast decoding ... See more keywords
A relaxed binary quadratic function negative-determination lemma and its application to neutral systems with interval time-varying delays and nonlinear disturbances
Sign Up to like & getrecommendations! Published in 2022 at "International Journal of Systems Science"
DOI: 10.1080/00207721.2022.2065705
Abstract: This paper considers the stability problem of neutral systems with interval time-varying delays and nonlinear disturbances. Firstly, an augmented vector containing two double integral terms is introduced into the Lyapunov-Krasovskii functional (LKF). In this case,… read more here.
Keywords: systems interval; time; function; binary quadratic ... See more keywords