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Smooth numbers and the quadratic sieve
Smooth numbers and the quadratic sieve

Andras Prekopa (Budapest) (Presented by A. Renyi)
Andras Prekopa (Budapest) (Presented by A. Renyi)

... A. N. Kolmogorov 14] 15] and discussed from a general point of view by A. Obukhov 17]. These integrals were later generalized by J. L. Doob 5]. Another generalization is due to S. Bochner 1] for the case of an abstract space and for an additive random set function. Recently V. Fabian 6] has de ...
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Week 1: First Examples

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Lesson 16: Rational and Irrational Numbers

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... Fibonacci sequence if and only if an = bn for all n, where b is a Fibonacci primitive root. The new results of this paper concern the case κ = 3. Because of the specific recurrence satisfied by Φ3 -sequences (an+3 = an+1 + an ), complete Φ3 -sequences will be called complete Padovan sequences [4]. S ...
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Catalan Numbers, Their Generalization, and Their Uses

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Algebra I - Hickman County Schools

... in problem solving. 3102.2.3 Describe and/or order a given set of real numbers including both rational and irrational numbers. 3102.3.1 Express a generalization of a pattern in various representations including algebraic and function notation. 3102.3.5 Write and/or solve linear equations, inequaliti ...
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List of important publications in mathematics



This is a list of important publications in mathematics, organized by field.Some reasons why a particular publication might be regarded as important:Topic creator – A publication that created a new topicBreakthrough – A publication that changed scientific knowledge significantlyInfluence – A publication which has significantly influenced the world or has had a massive impact on the teaching of mathematics. Among published compilations of important publications in mathematics are Landmark writings in Western mathematics 1640–1940 by Ivor Grattan-Guinness and A Source Book in Mathematics by David Eugene Smith.
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