Showing 1 - 20 of 151

1

Rigorous Methods for Computational Number Theory
de Boer, Koen ; Pellet-Mary, Alice ; Wesolowski, Benjamin ; et al.

algorithmic number theor... class group and unit gro... analysis of algorithms a... [MATH.MATH-NT]Mathematic... Number Theory [math.NT] [INFO.INFO-CR]Computer S...
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2

Correctly rounded evaluation of a function: why, how, and at what cost?
Brisebarre, Nicolas ; Hanrot, Guillaume ; Muller, Jean-Michel ; et al.
ACM Computing Surveys. 58(1)

Correct rounding Table maker's dilemma LLL algorithm approximation theory lattice basis reduction algorithmic number theor...
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3

Recursive Class Field Theory: A Computable Framework for Abelian Extensions
Lakshmanan, K ; Indian Institute of Technology [BHU Varanasi] (IIT BHU)

Recursive class field th... Computable number fields Recursive field extensio... Algorithmic number theor... MSC 2020 Classification:... [MATH]Mathematics [math]
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4

Correctly-rounded evaluation of a function: why, how, and at what cost?
Brisebarre, Nicolas ; Hanrot, Guillaume ; Muller, Jean-Michel ; et al.

Computer arithmetic floating-point arithmeti... elementary functions standardization algorithmic number theor... lattice basis reduction
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5

Correctly-rounded evaluation of a function: why, how, and at what cost?
Brisebarre, Nicolas ; Hanrot, Guillaume ; Muller, Jean-Michel ; et al.

Computer arithmetic floating-point arithmeti... elementary functions standardization algorithmic number theor... lattice basis reduction
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6

Advances in asymmetric cryptographic algorithms
Smith, Benjamin ; Geometry, arithmetic, algorithms, codes and encryption (GRACE) ; Laboratoire d'informatique de l'École polytechnique [Palaiseau] (LIX) ; et al.
Cryptography and Security [cs.CR]. Institut polytechnique de Paris, 2023

Public-key cryptography Post-quantum Cryptograph... Algorithmic number theor... Cryptographie à clef pub... Théorie algorithmique de... Cryptographie post-quant...
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7

The Discrete Logarithm Problem in Finite Fields with Extensions
Le problème du logarithme discret dans les corps finis avec extensions

Al Aswad, Haetham ; Cryptology, arithmetic : algebraic methods for better algorithms (CARAMBA) ; Centre Inria de l'Université de Lorraine ; et al.
Computer Science [cs]. Université de Lorraine, 2024. English. ⟨NNT : 2024LORR0192⟩

Finite fields Algorithmic Cryptanalysis Discrete logarithm Algorithmic number theor... Cryptography
Dissertation/ Thesis
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8

Integer points close to a transcendental curve and correctly-rounded evaluation of a function
Brisebarre, Nicolas ; Hanrot, Guillaume ; Laboratoire de l'Informatique du Parallélisme (LIP) ; et al.

Computer arithmetic algorithmic number theor... lattice basis reduction approximation theory LLL algorithm correct rounding
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9

Computation of Euclidean minima in totally definite quaternion fields
Cerri, Jean-Paul ; Lezowski, Pierre ; Lithe and fast algorithmic number theory (LFANT) ; et al.
International Journal of Number Theory. 15(1):43-66

Quaternion algebras Norm-Euclidean minimum Algorithmic number theor... Norm-Euclidean orders MSC: 11Y40, 11R04, 13F07 [MATH.MATH-NT]Mathematic...
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10

Every Constructive Prime Generator: A Finite Classification within Classical Mathematics
Daniels, Justin

Prime numbers Mathematics Pure mathematics Applied mathematics Mathematics/classificati... Mathematics/education
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12

Integer points close to a transcendental curve and correctly-rounded evaluation of a function
Brisebarre, Nicolas ; Hanrot, Guillaume ; Arithmetic and Computing (ARIC) ; et al.

Computer arithmetic algorithmic number theor... lattice basis reduction approximation theory LLL algorithm correct rounding
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13

Special Residual Hypothesis (SRH)
Vô, Pseudonym

Prime numbers Combinatorial number the... Algorithmic number theor... Mathematical modeling Computational combinator...
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14

Sum Cover Hypothesis – SCH
Vô, Pseudonym

Prime numbers Combinatorial number the... Recursive decomposition Algorithmic number theor... Computational combinator...
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15

McCrackn's Prime Law: An Explicit, Deterministic, Recursive Equation for the Prime Sequence ; Prime Sequence Generation by Finite Regime–Motif Recursion
Budd McCrackn ; orcid:0009-0001-4400-

Prime numbers Prime law Deterministic prime gene... Recursive algorithm Explicit prime sequence Prime gaps
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16

Perfect numbers, Wieferich primes and the solutions of \binom{2n}{n} ≡ 2ⁿ mod n
Gabriel Guedes ; Ricardo Machado
Notes on Number Theory and Discrete Mathematics, Vol 29, Iss 4, Pp 705-712 (2023)

perfect numbers wieferich primes binomial coefficient algorithmic number theor... wolstenholme converse pr... Mathematics
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17

Abelian lifts of polynomials
Wong, Siman
In Journal of Number Theory May 2023 246:265-278

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18

Certified lattice reduction
Espitau, Thomas ; Joux, Antoine ; Joux, Antoine
Advances in Mathematics of Communications

FOS: Computer and inform... Mathematics - Number The... [INFO.INFO-DS] Computer... Numerical Analysis (math... 11H06, 11H55, 11R04 Quadratic forms reductio...
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19

Trinity Bridge Architecture: Algorithmic Prime Distribution Through Harmonic Constant Interactions
Needham, Eric J

parallel processing bootstrap initialization FOS: Physical sciences Trinity Bridge algorithm scale invariance computational mathematic...
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20

Un peu de théorie des nombres et de calcul formel au service de l'arithmétique des ordinateurs
Brisebarre, Nicolas ; Laboratoire de l'Informatique du Parallélisme (LIP) ; École normale supérieure de Lyon (ENS de Lyon) ; et al.
Arithmétique des ordinateurs. École Normale Supérieure de Lyon, 2017

Algorithmic Number Theor... Computer Algebra Approximation Theory Euclidean Lattice Basis... Computer Arithmetic Théorie algorithmique de...
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