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Residue field
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21	Factorization of a 768-bit RSA modulus version 1.4, February 18, 2010 Thorsten Kleinjung1 , Kazumaro Jens Franke3 , Arjen K. Lenstra1 , Emmanuel Thomé4 , Add to Reading List Source URL: eprint.iacr.org Language: English - Date: 2010-02-18 11:19:25 Number theory Quadratic sieve Special number field sieve General number field sieve Quadratic residue Prime number Factor base Lattice sieving RSA Integer factorization algorithms Cryptography Mathematics
22	Asia Pacific Mathematics Newsletter 1 ClassicalReciprocity Reciprocity Laws Classical Add to Reading List Source URL: www.asiapacific-mathnews.com Language: English - Date: 2014-11-28 01:26:36 Algebraic number theory Modular arithmetic Field theory Number theory Quadratic residue Reciprocity law Algebraic number field Quadratic reciprocity Quartic reciprocity Abstract algebra Mathematics Algebra
23	Sudex Borders have Great Impact on Fruit Flies R. Pandey It has been a little more than a year since the fruit fly management program was launched at central Oahu. Male annihilation with cuelure, field sanitation by plow Add to Reading List Source URL: www.extento.hawaii.edu Language: English - Date: 2003-10-24 13:55:25 Native American cuisine Bactrocera Cucurbitaceae Melon fly Crops Pumpkin Maize Squash Crop residue Food and drink Agriculture Staple foods
24	Chemical use in chestnut production systems Steven Field Senior Chemical Standards Officer Timeline of events Add to Reading List Source URL: www.chestnutsaustralia.com.au Language: English - Date: 2013-04-28 21:30:50 Agriculture Pesticides Soil contamination Benzimidazoles Organic chemistry Maximum Residue Limit Carbendazim Chestnut Iprodione Fungicides Endocrine disruptors Chemistry
25	RIMS Kˆ okyˆ uroku Bessatsu B19 (2010), 35–43 Ramification of truncated discrete valuation rings: a Add to Reading List Source URL: www.kurims.kyoto-u.ac.jp Language: English - Date: 2010-06-05 19:28:52 Commutative algebra Localization Ring theory Algebraic number theory Valuation Discrete valuation ring Ramification Discrete valuation Residue field Abstract algebra Algebra Field theory
26	ON A THEOREM OF AUBRY-THUE ALFRED BRAUER AND R. L. REYNOLDS 1. Introduction. In 1913 L. Aubry [1] proved the following theorem: Add to Reading List Source URL: www.math.uga.edu Language: English - Date: 2011-09-25 15:53:25 Modular arithmetic Quadratic residue Linear congruence theorem Algebraic number field Prime number Coprime Quadratic reciprocity Wieferich prime Abstract algebra Mathematics Number theory
27	THE DEVELOPMENT OF THE PRINCIPAL GENUS THEOREM FRANZ LEMMERMEYER Introduction Genus theory belongs to algebraic number theory and, in very broad terms, deals with the part of the ideal class group of a number field that Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2003-09-11 11:19:38 Algebraic number theory Quadratic forms Modular arithmetic Number theory Quadratic residue Binary quadratic form Quadratic reciprocity Ideal class group Algebraic number field Abstract algebra Mathematics Algebra
28	SELMER GROUPS AND QUADRATIC RECIPROCITY FRANZ LEMMERMEYER Abstract. In this article we study the 2-Selmer groups of number fields F as well as some related groups, and present connections to the quadratic reciprocity law Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2005-03-14 17:20:19 Algebraic number theory Modular arithmetic Quadratic residue Class field theory Quadratic reciprocity Reciprocity law Selmer group Algebraic number field Artin reciprocity law Abstract algebra Mathematics Number theory
29	MAPREDUCE FOR INTEGER FACTORIZATION arXiv:1001.0421v1 [cs.DC] 4 Jan 2010 JAVIER TORDABLE Abstract. Integer factorization is a very hard computational problem. Currently no efficient algorithm for integer factorization i Add to Reading List Source URL: arxiv.org Language: English - Date: 2010-01-03 19:17:14 Number theory Quadratic sieve General number field sieve MapReduce Integer factorization Quadratic residue Factor base Factorization RSA Integer factorization algorithms Cryptography Mathematics
30	Use of SIMD-Based Data Parallelism to Speed up Sieving in Integer-Factoring Algorithms ? Binanda Sengupta and Abhijit Das Department of Computer Science and Engineering Indian Institute of Technology Kharagpur, West Beng Add to Reading List Source URL: eprint.iacr.org Language: English - Date: 2015-01-20 08:14:47 Theoretical computer science Quadratic sieve General number field sieve Rational sieve Quadratic residue Lattice sieving Integer factorization Prime number RSA Integer factorization algorithms Mathematics Cryptography

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