Results 21 to 30 of about 190,474 (279)
On some extensions of Gauss’ work and applications
Open Mathematics, 2020 Let K be an imaginary quadratic field of discriminant dK{d}_{K} with ring of integers OK{{\mathcal{O}}}_{K}, and let τK{\tau }_{K} be an element of the complex upper half plane so that OK=[τK,1]{{\mathcal{O}}}_{K}={[}{\tau }_{K},1].
Jung Ho Yun, Koo Ja Kyung, Shin Dong Hwa
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Secure Groups for Threshold Cryptography and Number-Theoretic Multiparty Computation
Cryptography, 2023 In this paper, we introduce secure groups as a cryptographic scheme representing finite groups together with a range of operations, including the group operation, inversion, random sampling, and encoding/decoding maps.
Berry Schoenmakers, Toon Segers
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Represented Value Sets for Integral Binary Quadratic Forms and Lattices [PDF]
, 2007 A characterization is given for the integral binary quadratic forms for which the set of represented values is closed under products. It is also proved that for an integral binary quadratic lattice over the ring of integers of a global field, the product
Earnest, A. G., Fitzgerald, Robert W.
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Quaternions and binary quadratic forms [PDF]
Proceedings of the American Mathematical Society, 1971 Methods are discussed for studying binary quadratic forms by use of quaternions derived from the ternary quadratic form f = x 2 − y z f = {x^2} - yz .
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Quadratic involutions on binary forms
Michigan Mathematical Journal, 2012 There is a classical geometric construction which uses a binary quadratic form to define an involution on the space of binary d-ics. We give a complete characterization of a general class of such involutions which are definable using compound transvectant formulae. We also study the associated varieties of forms which are preserved by such involutions.
Abdesselam, Abdelmalek +1 more
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Totally real Thue inequalities over imaginary quadratic fields [PDF]
, 2018 Let $F(x,y)$ be an irreducible binary form of degree $\geq 3$ with integer coefficients and with real roots. Let $M$ be an imaginary quadratic field, with ring of integers $Z_M$. Let $K>0$.
Gaál, István +2 more
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The inhomogeneous minima of binary quadratic forms (III) [PDF]
Acta Mathematica, 1952 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Barnes, E. S., Swinnerton-Dyer, H. P. F.
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Period Change of W UMa Type Contact Binary AB And [PDF]
Journal of Astronomy and Space Sciences, 1997 The CCD photometric observations of W UMa-type eclipsing binary AB And were made from September 1994 to October 1996. New four primary minimum times were obtained form these observations.
Ho Jin +4 more
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Using Machine Learning for Quantum Annealing Accuracy Prediction
Algorithms, 2021 Quantum annealers, such as the device built by D-Wave Systems, Inc., offer a way to compute solutions of NP-hard problems that can be expressed in Ising or quadratic unconstrained binary optimization (QUBO) form.
Aaron Barbosa +3 more
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On prime values of binary quadratic forms with a thin variable
, 2018 In this paper we generalize the result of Fouvry and Iwaniec dealing with prime values of the quadratic form $x^2 + y^2$ with one input restricted to a thin subset of the integers.
Lam, Peter Cho-Ho +2 more
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