Results 1 to 10 of about 117,201 (178)
Supercongruences involving Domb numbers and binary quadratic forms. [PDF]
Rev R Acad Cienc Exactas Fis Nat A Mat, 2022 AbstractIn this paper, we prove two recently conjectured supercongruences (modulo $$p^3$$ p 3 , where p is any prime greater than 3) of Zhi-Hong Sun on truncated sums involving the Domb numbers.
Mao GS, Schlosser MJ.
europepmc +6 more sources
Equivalent Binary Quadratic Form and the Extended Modular Group [PDF]
, 2012 Extended modular group $\bar{\Pi}=$, where $ R:z\rightarrow -\bar{z}, \sim T:z\rightarrow\frac{-1}{z},\simU:z\rightarrow\frac{-1}{z +1} $, has been used to study some properties of the binary quadratic forms whose base points lie in the point set ...
malik, M. Aslam, Riaz, Muhammad
core +3 more sources
The inhomogeneous minima of binary quadratic forms (I) [PDF]
Acta Mathematica, 1952 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Edwin Barnes, H. P. F. Swinnerton-Dyer
openalex +8 more sources
Jacobsthal sums, Legendre polynomials and binary quadratic forms [PDF]
, 2012 Let $p>3$ be a prime and $m,n\in\Bbb Z$ with $p\nmid mn$. Built on the work of Morton, in the paper we prove the uniform congruence: $$&\sum_{x=0}^{p-1}\Big(\frac{x^3+mx+n}p\Big) \equiv {-(-3m)^{\frac{p-1}4} \sum_{k=0}^{p-1}\binom{-\frac 1{12}}k\binom ...
Sun, Zhi-Hong
core +3 more sources
The representation of binary quadratic forms by positive definite quaternary quadratic forms [PDF]
Transactions of the American Mathematical Society, 1994 According to Dickson we call a positive definite integral quadratic form \(f\) on \(\mathbb{Z}^ n\) regular, if for every positive integer \(a\) a local representation of \(a\) by \(f\) at all completions of \(\mathbb{Z}^ n\) implies global representation of \(a\) by \(f\).
A. G. Earnest
openalex +3 more sources
, 2016 Let $-d$ 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 $-d$.
A Earnest +24 more
core +3 more sources
Neighbors Of Indefinite Binary Quadratic Forms
, 2011 {"references": ["J.Buchmann and U.Vollmer. Binary Quadratic Forms: An Algorithmic\nApproach. Springer-Verlag, Berlin, Heidelberg, 2007.", "D.A.Buell. Binary Quadratic Forms, Clasical Theory and Modern Computations.\nSpringer-Verlag, New York, 1989.", "D.E.Flath. Introduction to Number Theory. Wiley, 1989.", "R.A. Mollin.
Ahmet Tekcan
openalex +4 more sources
Representation of Binary Quadratic Forms by a Quaternary Form [PDF]
Journal of Mathematical Sciences, 2005 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
N. Yu. Kuranova
openalex +2 more sources
Transactions on Cryptographic Hardware and Embedded Systems, 2022 The extended GCD (XGCD) calculation, which computes Bézout coefficients ba, bb such that ba ∗ a0 + bb ∗ b0 = GCD(a0, b0), is a critical operation in many cryptographic applications.
Kavya Sreedhar +2 more
doaj +3 more sources
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
doaj +1 more source