Results 21 to 30 of about 500,615 (284)

On some extensions of Gauss’ work and applications

open access: yesOpen 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
doaj   +1 more source

Scalable set of reversible parity gates for integer factorization

open access: yesCommunications Physics, 2023
Classical microprocessors operate on irreversible gates, that, when combined with AND, half-adder and full-adder operations, execute complex tasks such as multiplication of integers.
Martin Lanthaler   +2 more
doaj   +1 more source

Accelerating Falcon on ARMv8

open access: yesIEEE Access, 2022
Falcon is one of the promising digital-signature algorithms in NIST’s ongoing Post-Quantum Cryptography (PQC) standardization finalist. Computational efficiency regarding software and hardware is also the main criteria for PQC standardization.
Youngbeom Kim   +2 more
doaj   +1 more source

Complexity and multiple complexes

open access: yesMathematische Zeitschrift, 1987
Let G be a finite group and let R be a commutative ring with unit. One of the most basic problems in group cohomology is that of finding suitable projective resolutions for RG-modules. The main result of this paper shows that if \(R=k\) is a field of characteristic \(p>0\), and if M is any finitely generated kG-module then there exists a projective ...
Carlson, Jon F., Benson, David J.
openaire   +1 more source

Some Mirror partners with Complex multiplication [PDF]

open access: yes, 2010
In this note we provide examples of families of Calabi-Yau 3-manifolds over Shimura varieties, whose mirror families contain subfamilies over Shimura varieties.
For Eckart Viehweg, Jan Christian Rohde
core   +1 more source

On the interrelation of multiplication and division in secondary school children

open access: yesFrontiers in Psychology, 2013
Multiplication and division are conceptually inversely related: Each division problem can be transformed into as a multiplication problem and vice versa.
Stefan eHuber   +4 more
doaj   +1 more source

High performance and resource efficient FFT processor based on CORDIC algorithm

open access: yesEURASIP Journal on Advances in Signal Processing, 2022
Fast Fourier Transform is widely used in communication and signal processing. I propose an improved multipath delay commutator pipelining architecture based on the radix-2 time decimation algorithm.
Yupu Zhao, Hong Lv, Jun Li, Lulu Zhu
doaj   +1 more source

High-Performance Waveguide-Integrated Ge/Si Avalanche Photodetector with Lateral Multiplication Region

open access: yesMicromachines, 2022
High-performance waveguide-integrated Ge/Si APDs in separate absorption, charge, and multiplication (SACM) schemes have been exploited to facilitate energy-efficient optical communication and interconnects. However, the charge layer design is complex and
Daoqun Liu   +4 more
doaj   +1 more source

Complex Gaussian Multiplicative Chaos [PDF]

open access: yesCommunications in Mathematical Physics, 2015
66 pages, 5 figures, contains open problems and application in 2 dimensional string theory.
Lacoin, Hubert   +2 more
openaire   +2 more sources

ρ — Adic Analogues of Ramanujan Type Formulas for 1/π

open access: yesMathematics, 2013
Following Ramanujan’s work on modular equations and approximations of π, there are formulas for 1/π of the form [PLEASE CHECK FORMULA IN THE PDF] for d = 2, 3, 4, 6, where λd are singular values that correspond to elliptic curves with complex ...
Sarah Chisholm   +4 more
doaj   +1 more source

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