Results 1 to 10 of about 500,615 (284)

Imaginary in all directions: an elegant formulation of special relativity and classical electrodynamics

, 2003
A suitable parameterization of space-time in terms of one complex and three quaternionic imaginary units allows Lorentz transformations to be implemented as multiplication by complex-quaternionic numbers rather than matrices.
, Adler S, De Leo S, De Leo S, De Leo S, Dirk Schuricht, Dixon G M, Edmonds J D, Edmonds J D, Edmonds J D, Hamilton W R, Imaeda K, Martin Greiter, Morita K, Morita K, Morita K, Sharma C S, Synge J L, Weinberg S   +18 more
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A Rigorous Extension of the Schönhage-Strassen Integer Multiplication Algorithm Using Complex Interval Arithmetic [PDF]

Electronic Proceedings in Theoretical Computer Science, 2010
Multiplication of n-digit integers by long multiplication requires O(n^2) operations and can be time-consuming. In 1970 A. Schoenhage and V. Strassen published an algorithm capable of performing the task with only O(n log(n)) arithmetic operations over ...
Thomas Steinke, Raazesh Sainudiin
doaj   +1 more source

The complexity of iterated multiplication

[1989] Proceedings. Structure in Complexity Theory Fourth Annual Conference, 1995
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Immerman, N, LANDAU, S
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Noncommutative Geometry and Arithmetic [PDF]

, 2010
This is an overview of recent results aimed at developing a geometry of noncommutative tori with real multiplication, with the purpose of providing a parallel, for real quadratic fields, of the classical theory of elliptic curves with complex ...
Marcolli, Matilde
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A Description of Commutant of Multiplication Operators on Bergman Spaces of the Polydisk

پژوهش‌های ریاضی, 2021
We shall give a description of the commutant of a particular multiplication operator in the weighted Bergman spaces on n-dimensional complex polydisk../files/site1/files/71/1 ...
Ali Abkar
doaj  

Modular Forms and Weierstrass Mock Modular Forms

Mathematics, 2016
Alfes, Griffin, Ono, and Rolen have shown that the harmonic Maass forms arising from Weierstrass ζ-functions associated to modular elliptic curves “encode” the vanishing and nonvanishing for central values and derivatives of twisted Hasse-Weil L ...
Amanda Clemm
doaj   +1 more source

An Optimized Point Multiplication Strategy in Elliptic Curve Cryptography for Resource-Constrained Devices

Mathematics
Elliptic curve cryptography (ECC) is widely acknowledged as a method for implementing public key cryptography on devices with limited resources thanks to its use of small keys.
Nawras H. Sabbry, Alla B. Levina
doaj   +1 more source

Sato-Tate distributions of twists of y^2=x^5-x and y^2=x^6+1

, 2012
We determine the limiting distribution of the normalized Euler factors of an abelian surface A defined over a number field k when A is isogenous to the square of an elliptic curve defined over k with complex multiplication.
Andrew Sutherland, Francesc Fité, Gross, Serre, Serre   +4 more
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Complex Multiplicative Calculus

, 2011
In the present paper we extend the concepts of multiplicative de- rivative and integral to complex-valued functions of complex variable. Some drawbacks, arising with these concepts in the real case, are explained satis- factorily. Properties of complex multiplicative derivatives and integrals are studied.
Bashirov, Agamirza, Riza, Mustafa
openaire   +2 more sources

Complex Multiplication Tests for Elliptic Curves

, 2004
We consider the problem of checking whether an elliptic curve defined over a given number field has complex multiplication. We study two polynomial time algorithms for this problem, one randomized and the other deterministic. The randomized algorithm can
Charles, Denis
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