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Mathematical Notes
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#	Item
721	Mathematical publications, G.J.O. Jameson Books Ordered Linear Spaces, Springer Lecture Notes no[removed]Springer, [removed]194p.) A First Course on Complex Functions (Chapman and Hall, London, [removed]148p.) Topology and No Add to Reading List Source URL: www.maths.lancs.ac.uk Language: English - Date: 2013-10-16 10:38:44 IP Fourier analysis Number theorists Complex analysis Riesz–Thorin theorem Per Enflo Mathematical analysis Mathematics Operator theory
722	Notes on the Economics of Infinity Add to Reading List Source URL: www.karlshell.com Language: English - Date: 2009-06-12 12:00:51 Mathematical optimization Economic theories Pareto efficiency General equilibrium theory Competitive equilibrium Overlapping generations model Game theory Economics Welfare economics
723	INTEGRATING THE ERROR IN THE DIVISOR PROBLEM Notes by Tim Jameson Let Bk be the k th Bernoulli polynomial. In particular B1 (x) = x − 21 and B2 (x) = x2 − ˜k (x) = Bk ({x}). x + 1 . Write bxc for the integer part of Add to Reading List Source URL: www.maths.lancs.ac.uk Language: English - Date: 2013-12-02 05:16:52 Polynomials Bernoulli polynomials Number theory Integration by parts Mathematical series Mathematical analysis Mathematics Calculus
724	Elliptic integrals, the arithmetic-geometric mean and the Brent-Salamin algorithm for π Notes by G.J.O. Jameson Contents 1. Add to Reading List Source URL: www.maths.lancs.ac.uk Language: English - Date: 2013-04-16 11:09:47 Mathematical fallacy Factorial Proof that π is irrational Transcendental number Mathematics Polar coordinate system Valuation
725	THE INGHAM-HUXLEY ZERO-DENSITY THEOREM Notes by Tim Jameson Introduction We show that for σ ≥ 12 , T ≥ 2, the number of zeros (counting multiplicity) ρ = β + iγ of ζ(s) with σ ≤ β ≤ 1 and 0 < γ ≤ T is N Add to Reading List Source URL: www.maths.lancs.ac.uk Language: English - Date: 2013-12-02 05:16:45 Analytic number theory Riemann zeta function Explicit formula Integral calculus Multivariable calculus Operator theory Symbol Holomorphic functional calculus Mathematical analysis Mathematics Calculus
726	THE FOURTH POWER MOMENT OF ζ( 12 + it) Notes by Tim Jameson Introduction The following result was obtained by Ingham in[removed]Ing]: THEOREM 1. We have Add to Reading List Source URL: www.maths.lancs.ac.uk Language: English - Date: 2014-03-10 05:53:52 Functional analysis Convolution Fourier analysis Image processing Matrix exponential Heat equation Mathematical analysis Mathematics Algebra
727	DABOUSSI’S VERSION OF VINOGRADOV’S BOUND FOR THE EXPONENTIAL SUM OVER PRIMES (slightly simplified) Notes by Tim Jameson (recalled on a busman’s holiday in Oslo, [removed]Vinogradov’s method to estimate an exponenti Add to Reading List Source URL: www.maths.lancs.ac.uk Language: English - Date: 2013-12-02 05:16:52 Operator theory Complex analysis Logarithms Exponentiation Lerch zeta function Vertex operator algebra Mathematical analysis Mathematics Abstract algebra
728	THE GAUSS CIRCLE PROBLEM (the classical exponent 13 ) Notes by Tim Jameson Notation We write bxc for the integer part of x, the unique integer such that bxc ≤ x < bxc + 1, and {x} for the fractional part x − bxc. On Add to Reading List Source URL: www.maths.lancs.ac.uk Language: English - Date: 2013-12-02 05:16:51 Fourier analysis Bessel function Bernoulli polynomials Continuous function Derivative Exponentiation Heat equation Multiple integral Mathematical analysis Mathematics Polynomials
729	PUBLICATIONS ALEXANDRU BUIUM 1. Research Monographs [1] Differential Function Fields and Moduli of Algebraic Varieties, Lecture Notes in Math. 1226, Springer 1986. Add to Reading List Source URL: www.math.unm.edu Language: English - Date: 2014-04-03 16:02:10 Analytic number theory Differential calculus Algebraic geometry Differential topology Differential geometry Differential algebra Shimura variety Number theory Jet bundle Abstract algebra Mathematical analysis Mathematics
730	POLYLOGARITHMS, MULTIPLE ZETA VALUES, AND THE SERIES OF HJORTNAES AND COMTET Notes by Tim Jameson (December[removed]edited by Graham Jameson, with references added, March[removed]Introduction The polylogarithm function is d Add to Reading List Source URL: www.maths.lancs.ac.uk Language: English - Date: 2014-03-10 05:53:48 Logarithms Integration by substitution Inverse trigonometric functions Number theory Mathematics Special functions Mathematical analysis

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