From Symmetries to Number Theory via Finite Operator Theory
... • Fermat’s Last Theorem and class field theory (Kummer) • Theory of Riemann and Riemann-Hurwitz zeta functions • Measure theory in p-adic analysis (Mazur) Interpolation theory (Boas and Buck) ...
... • Fermat’s Last Theorem and class field theory (Kummer) • Theory of Riemann and Riemann-Hurwitz zeta functions • Measure theory in p-adic analysis (Mazur) Interpolation theory (Boas and Buck) ...
9649 Further Mathematics H2 for 2017
... including those from sciences and engineering. Each question will carry at least 12 marks and may require concepts and skills from more than one topic. Candidates will be expected to answer all questions. ...
... including those from sciences and engineering. Each question will carry at least 12 marks and may require concepts and skills from more than one topic. Candidates will be expected to answer all questions. ...
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... An alternate statement of the problem is to ask for all triangular numbers which are squares. ...
... An alternate statement of the problem is to ask for all triangular numbers which are squares. ...
Algebra A
... Consecutive Integers – Consecutive integers are integers in counting order. Number Theory – The study of numbers and the relationships between them. ...
... Consecutive Integers – Consecutive integers are integers in counting order. Number Theory – The study of numbers and the relationships between them. ...
![[Part 2]](http://s1.studyres.com/store/data/008795795_1-c00648edd6f578e3e44ef8aca9f22ea2-300x300.png)
[Part 2]
... 1. H. W. Gould, "Equal Products of Generalized Binomial Coefficients," Fibonacci Quarterly, Vol. 9, No. 4 (1971), pp. 337-346. 2. H. W. Gould, D. C. Rine, and W. L. Scharff, "Algorithm and Computer P r o g r a m for the Determination of Equal Products of Generalized Binomial Coefficients, Tf to be p ...
... 1. H. W. Gould, "Equal Products of Generalized Binomial Coefficients," Fibonacci Quarterly, Vol. 9, No. 4 (1971), pp. 337-346. 2. H. W. Gould, D. C. Rine, and W. L. Scharff, "Algorithm and Computer P r o g r a m for the Determination of Equal Products of Generalized Binomial Coefficients, Tf to be p ...
Lecture 5
... ‚ The points of intersection of a line and circle are the simultaneous solutions of a linear and a quadratic equation. ‚ The points of intersection of two circles are the simultaneous solutions to a pair of quadratic equations. Thus, the co-ordinates of points in P (and therefore the constructible n ...
... ‚ The points of intersection of a line and circle are the simultaneous solutions of a linear and a quadratic equation. ‚ The points of intersection of two circles are the simultaneous solutions to a pair of quadratic equations. Thus, the co-ordinates of points in P (and therefore the constructible n ...
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... 1. INTRODUCTION AND BACKGROUND. In the present note we shall give two proofs of a property of the poly-Bernoulli numbers, the closed formula for negative index poly-Bernoulli numbers given by Arakawa and Kaneko [1]. The first proof uses weighted Stirling numbers of the second kind (see [2], [3]). Th ...
... 1. INTRODUCTION AND BACKGROUND. In the present note we shall give two proofs of a property of the poly-Bernoulli numbers, the closed formula for negative index poly-Bernoulli numbers given by Arakawa and Kaneko [1]. The first proof uses weighted Stirling numbers of the second kind (see [2], [3]). Th ...
(pdf)
... The zeta function, usually referred to as the Riemann zeta function today, has been studied in many different forms for centuries. The harmonic series, ζ(1), was proven to be divergent as far back as the 14th century [1]. In the 18th century, the Swiss mathematician Leonhard Euler found a closed for ...
... The zeta function, usually referred to as the Riemann zeta function today, has been studied in many different forms for centuries. The harmonic series, ζ(1), was proven to be divergent as far back as the 14th century [1]. In the 18th century, the Swiss mathematician Leonhard Euler found a closed for ...
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... Now let s = Z/'4M' + 'B'. Clearly, 4oo = X£/°° = xz°°. If z/ is a repeating portion, then, so is s. The string s consists of groups of B*A*Ts; hence, if we can show that groups of B*A%' s repeat only if 5 = BE9 we will be done. By renaming "Anu to be "AQ9" we may use the result given in Theorem 2 to ...
... Now let s = Z/'4M' + 'B'. Clearly, 4oo = X£/°° = xz°°. If z/ is a repeating portion, then, so is s. The string s consists of groups of B*A*Ts; hence, if we can show that groups of B*A%' s repeat only if 5 = BE9 we will be done. By renaming "Anu to be "AQ9" we may use the result given in Theorem 2 to ...
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... The indices have been compiled using WORDPERFECT. Should you wish to order a copy of the indices for another wordprocessor or for a non-compatible IBM machine, please explain your situation to Dr. Cook when you place your order and he will try to accommodate you. DO NOT SEND PAYMENT WITH YOUR ORDER. ...
... The indices have been compiled using WORDPERFECT. Should you wish to order a copy of the indices for another wordprocessor or for a non-compatible IBM machine, please explain your situation to Dr. Cook when you place your order and he will try to accommodate you. DO NOT SEND PAYMENT WITH YOUR ORDER. ...
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.