Results 21 to 30 of about 500,615 (284)
On some extensions of Gauss’ work and applications
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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Scalable set of reversible parity gates for integer factorization
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
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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
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Complexity and multiple complexes
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.
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Some Mirror partners with Complex multiplication [PDF]
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
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
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High performance and resource efficient FFT processor based on CORDIC algorithm
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
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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
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Complex Gaussian Multiplicative Chaos [PDF]
66 pages, 5 figures, contains open problems and application in 2 dimensional string theory.
Lacoin, Hubert +2 more
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ρ — Adic Analogues of Ramanujan Type Formulas for 1/π
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
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