• Suche: "Modular arithmetic"

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RISC-V Word-Size Modular Instructions for Residue Number Systems
Instructions modulaires RISC-V pour Residue Number System
Didier, Laurent-Stéphane ; Robert, Jean-Marc ; Institut de Mathématiques de Toulon - EA 2134 (IMATH) ; et al.
Future Technologies Conference (FTC) 2024. :68-86

London, United Kingdom High performance number... High performance number... Residue Number Systems modular multiplication word-size modular arithm... …
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2

Galois representations modulo p that do not lift modulo p^2.
Merkurjev, Alexander ; Scavia, Federico
Journal of the American Mathematical Society. 2026, Vol. 39 Issue 1, p73-94. 22p.

GALOIS theory MODULAR arithmetic FINITE groups MATHEMATICS
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3

Class numbers, congruent numbers and umbral moonshine.
Cheng, Miranda C.N. ; Duncan, John F.R. ; Mertens, Michael H.
Journal of Number Theory. Dec2025, Vol. 277, p201-235. 35p.

FINITE groups MODULAR arithmetic CLASSIFICATION
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4

MONOTONIC COLLATZ SUBSEQUENCES WITH TERMS CONGRUENT MODULO A FIXED POWER OF TWO.
LONGSTAFF, W. E.
Bulletin of the Australian Mathematical Society. Dec2025, Vol. 112 Issue 3, p418-429. 12p.

MODULAR arithmetic MATHEMATICAL sequences INTEGERS NUMBER theory
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5

Well-distribution modulo one and the primes.
Champagne, J. ; Lê, T. H. ; Liu, Y.-R. ; et al.
Proceedings of the American Mathematical Society. Dec2025, Vol. 153 Issue 12, p5069-5074. 6p.

PRIME numbers MODULAR arithmetic MATHEMATICS IRRATIONAL numbers MATHEMATICAL sequences DISTRIBUTION (Probabilit...
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6

Congruences modulo powers of 5 for 5k -regular bipartitions.
Chen, Zhuohang ; Tang, Dazhao
QM - Quaestiones Mathematicae. Nov2025, p1-11. 11p.

MODULAR arithmetic GENERATING functions NUMBER theory PARTITIONS (Mathematics) CONGRUENCE lattices MATHEMATICAL sequences
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7

Some q-supercongruences modulo the product of cyclotomic polynomials.
Ni, He-Xia
International Journal of Number Theory. Nov2025, p1-7. 7p.

CYCLOTOMIC fields MODULAR arithmetic MATHEMATICS CONGRUENCES & residues
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8

NIRECP: An ECC Processor Over 256‐Bit NIST Prime Field Using New Iterative Reduction.
Xie, Yujun ; Yan, Riheng ; Lan, Bohan ; et al.
International Journal of Circuit Theory & Applications. Nov2025, Vol. 53 Issue 11, p6652-6664. 13p.

ELLIPTIC curve cryptogra... MODULAR arithmetic MATHEMATICAL optimizatio... APPLICATION-specific int... FINITE fields FIELD programmable gate... …
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9

Proof of a supercongruence modulo p2r.
Guo, Victor J. W.
Bulletin of the London Mathematical Society. Nov2025, Vol. 57 Issue 11, p3522-3535. 14p.

CONGRUENCES & residues MODULAR arithmetic MATHEMATICS HYPOTHESIS MATHEMATICIANS
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10

Some new Andrews–Beck-type congruences for k-colored partitions.
Yang, Lin ; Yao, Olivia X. M.
International Journal of Number Theory. Nov2025, Vol. 21 Issue 10, p2427-2439. 13p.

LIN, Jeremy, 1988- MODULAR arithmetic PARTITIONS (Mathematics) HYPOTHESIS CONGRUENCE lattices
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11

The 7-dissections of some infinite q-series expansions.
Vandna ; Kaur, Mandeep
AIP Conference Proceedings. 10/31/2025, Vol. 3343 Issue 1, p1-6. 6p.

INFINITE series (Mathema... MODULAR arithmetic PARAMETERIZATION MATHEMATICIANS ARITHMETIC series
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12

Algorithmic thinking in problem solving between Mathematics and Computer Science: a case study in modular arithmetic
Crippa, Marta ; Branchetti, Laura ; Lonati, Violetta ; et al.
Proceedings of the Fourteenth Congress of the European Society for Research in Mathematics Education (CERME14).

Bozen-Bolzano, Italy modular arithmetic interdisciplinarity Algorithmic thinking [MATH]Mathematics [math] [SHS.EDU]Humanities and... …
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13

Usage of Low‐Cost Auxiliary Moduli for Optimization of Modular Exponentiation Operations.
Rocha, Paulo ; Fernandes, Gabriel B. M. ; Kieslich, Lucas R. ; et al.
International Journal of Circuit Theory & Applications. Oct2025, p1. 14p. 12 Illustrations.

CRYPTOGRAPHY MODULAR arithmetic PROGRAM transformation COMPUTER hardware descri... FIELD programmable gate...
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14

Optimized Implementation of Multi-channel Parallel Polynomial Multipliers for Crystal-Kyber.
Yihao Zhang ; Xiaoting Hu ; Hanpeng Zhu ; et al.
Engineering Letters. Oct2025, Vol. 33 Issue 10, p4256-4264. 9p.

CRYPTOGRAPHY MODULAR arithmetic PARALLEL computers PARALLEL processing
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15

Non-vanishing mod p of theta lifts for (O2n+1, Mp4n )
Zhang, Xiaoyu
Forum Mathematicum. Aug2025, p1. 51p.

AUTOMORPHIC forms MODULAR arithmetic SYMPLECTIC groups MATHEMATICS TORIC varieties
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16

Design of modular arithmetic acceleration for privacy computing.
LIU, Hongwei ; ZHI, Liang ; QIN, Mengyuan ; et al.
Computer Engineering & Science / Jisuanji Gongcheng yu Kexue. Aug2025, Vol. 47 Issue 8, p1331-1342. 12p.

MODULAR arithmetic DATA security EXPONENTIATION QUANTUM computing MODULAR design
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17

Characterization and enumeration on Lame equations with finite monodromy.
Chou, You-Cheng ; Wang, Chin-Lung ; Wu, Po-Sheng
Transactions of the American Mathematical Society. Aug2025, Vol. 378 Issue 8, p5279-5304. 26p.

MONODROMY groups MODULAR arithmetic FINITE groups EQUATIONS TORUS ARITHMETIC series
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18

Symbolic transformation of expressions in modular arithmetic
Boillot, Jérôme ; Feret, Jérôme ; Université Paris Sciences et Lettres (PSL) ; et al.
Static Analysis: 30th International Symposium. :84-113

Cascais, Portugal Modular Arithmetic Program Transformation Symbolic Propagation Abstract Intepretation Interpolation …
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19

The Collatz Conjecture: Conquered by a Finite State Machine and Structural Confinement
Nwankpa, Amarachukwu ; Shehu Musa Yar'Adua Foundation (SMYF)

Collatz Conjecture 3x+1 problem number theory dynamical systems boundedness cycle uniqueness …
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20

A Proof of the Collatz Conjecture via Complete Set Classification and Unique Cycle Analysis
Nwankpa, Amarachukwu ; Shehu Musa Yar'Adua Foundation (SMYF)

Collatz Conjecture 3x+1 problem number theory dynamical systems boundedness cycle uniqueness …
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