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Minimum saturated families of sets

1) Erd?os-Stewart-Tijdeman for function fields (cf [2], pp. 390-391). Let F be a field, S = {p1,...,ps} a set of primes. We set. X(S) = {x | x and 1 ? x are ...









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INTRODUCTION. Rudolf Ahlswede's seminal work in extremal combinatorics includes: ? the Ahlswede-Daykin (or Four Function) inequality [4, 5] which pro-.
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Chapter 1 ERD?OS-KO-RADO THEOREMS OF HIGHER ORDER
... 1). Erd?os's reasoning is developed in [EGPS90] and. [LP02], where it is ... Math. Soc. 50. (1944), 881?882. Page 10. 10. PAUL POLLACK AND CARL POMERANCE. [Bil95].
Erd?os?Hajnal-type results on intersection patterns of geometric ...
Thus in order to study the equation (1) Erd?os and Graham investigated the sets Fk ... Math. (N.S.) 23 (2012), 123?127. [3] W. Bosma, J. J. Cannon, C. Fieker and ...
Arithmetic Randonnée An introduction to probabilistic number theory
Conjecture 1. (Erd?os' Matching Conjecture) The largest subhypergraphs of K = (. [n] l. ) ... Math. 299 (2016), pp. 396?450. [5] N. A. Cook and A. Dembo. ?Large ...
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... 1). Erd?os and Rényi dis- covered that with probability 1, all G ? G(N, p) are ... [9] W.W. Boone, The word problem, Annals of Mathematics 70 (1959) 207?265.
Phi, Primorials, and Poisson - Dartmouth College Mathematics
The forbidden family in Theorem 1 comprises a pair of disjoint sets. A generalization of this structure, with geometric motivation is as follows ...
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Hough, Solution of the minimum modulus problem for covering systems, Ann. Math., 181 (2015),. 361?382. 1Erd?os asked this question immediately after stating the ...
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Trained in number theory, have worked on topics in both pure and applied mathematics, theo- retical computer science, operations research, and condensed ...