EULER’S CONCORDANT FORMS Ken Ono 1. Introduction In [6] Euler asks for a classification of those pairs of distinct non-zero integers M and N

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ON THE RANK OF HIGHER INCLUSION MATRICES ´ CODRUT ¸ GROSU, YURY PERSON, TIBOR SZABO Abstract. Let r ≥ s ≥ 0 be integers and G be an r-graph. The higher inclusion matrix Msr (G) is a {0, 1}-matrix with rows indexed

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ON THE POSITIVITY OF THE NUMBER OF t−CORE PARTITIONS Ken Ono Abstract. A partition of a positive integer n is a nonincreasing sequence of positive integers whose sum is n. A Ferrers graph represents a partition in the

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Introduction to Number Theory Supplement on Gaussian Integers Spring 2016 Last Updated: April 10, 2016 This is a brief supplemental note on the Gaussian integers, written for my

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• Mathematics
• Algebra
• Abstract algebra
• Ring theory
• Algebraic number theory
• Commutative algebra
• Integer factorization algorithms
• Greatest common divisor
• Euclidean algorithm
• Unique factorization domain
• Factorization
• Gaussian integer

Power integral bases in algebraic number …elds István Gaál A number …eld is called monogenic if its ring of integers is a simple ring extension of the ring of rational integers. This is a classical topic of algebra

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VILNIUS UNIVERSITY UNDERGRADUATE MATHEMATICS COMPETITIONFind all non-empty finite sets S of positive integers such that if m, n ∈ S, then (m + n)/GCD(m, n) ∈ S. 2. Suppose that a 6 × 6 square grid of unit s

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Π01 ENCODABILITY AND OMNISCIENT REDUCTIONS BENOIT MONIN AND LUDOVIC PATEY Abstract. A set of integers A is computably encodable if every infinite set of integers has an infinite subset computing A. By a result of Solova

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• Computability theory
• 01 class
• Riemann surfaces
• Probability theory
• Measure theory
• Differential forms on a Riemann surface
• Modulus of continuity

INTEGERS Conference 2016 October 6-9, 2016 University of West Georgia Carrollton, Georgia The Editors of Integers are pleased to announce Integers ConferenceThe Integers conferences are international conferences i

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Intersection properties of subsets of integers Tibor Szab´o The Ohio State University, Columbus, Ohio, 231 W 18th Ave, Columbus, Ohio, 43210, USA and E¨ otv¨

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THE 2-ADIC BEHAVIOR OF THE NUMBER OF PARTITIONS INTO DISTINCT PARTS Ken Ono and David Penniston Abstract. Let Q(n) denote the number of partitions of an integer n into distinct parts. For positive integers j, the first a

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