How Euler Did It by Ed Sandifer A false logarithm series DecemberSolving a good research question should open more doors than it closes. One of Euler’s lesser

Source URL: eulerarchive.maa.org

• Mathematical analysis
• Mathematics
• Inverse trigonometric functions
• Ratios
• Trigonometry
• Mathematical series
• Asymptotic analysis
• Contributions of Leonhard Euler to mathematics
• EulerMaclaurin formula

Asymptotic formulæ in combinatory analysis∗ Proceedings of the London Mathematical Society, 2, XVII, 1918, 75 — Introduction and summary of results 1.1 The present paper is the outcome of an attempt to apply

Source URL: ramanujan.sirinudi.org

• Mathematical analysis
• Mathematics
• Asymptotic analysis
• Arithmetic functions
• Analytic functions
• Meromorphic functions
• Combinatorics
• Partition
• Prime number theorem
• Asymptotic formula
• Divisor function
• Riemann zeta function

How Euler Did It by Ed Sandifer Sums of powers June 2009 Many people have been interested in summing powers of integers. Most readers of this column know, for example, that

Source URL: eulerarchive.maa.org

• Mathematical analysis
• Mathematics
• Asymptotic analysis
• Summability methods
• Number theory
• Calculus
• Bernoulli number
• Topology
• EulerMaclaurin formula
• Series
• 1 2 + 3 4 +
• Divisor function

The Hardy-Ramanujan Asymptotic Partition Formula

Source URL: www.theoremoftheday.org

• Number theorists
• Srinivasa Ramanujan
• Fellows of the Royal Society
• Combinatorics
• Number theory
• Partition
• G. H. Hardy
• Atle Selberg
• George Andrews
• Ramanujan
• 1729
• Asymptotic formula

AN ASYMPTOTIC FORMULA FOR THE NUMBER OF NON-NEGATIVE INTEGER MATRICES WITH PRESCRIBED ROW AND COLUMN SUMS Alexander Barvinok and J.A. Hartigan March 2011

Source URL: www.math.lsa.umich.edu

• Mathematics
• Algebra
• Mathematical analysis
• Matrix theory
• Linear algebra
• Normal distribution
• Determinant
• Matrix
• Central limit theorem
• Random permutation statistics
• Matrix exponential

Chapter 1: Stirling’s Formula The voyage of discovery lies not in seeking new horizons, but in seeking with new eyes. – Marcel Proust Surely the most beautiful asymptotic formula in all of mathematics is Stirling’s

Source URL: cs.nyu.edu

Heat equation asymptotic of option pricing Akeju A. Olu University of Ibadan The evaluation of option pricing in the financial market, over the years has largely been carried out by the Black-Scholes formula such that, a

Source URL: icsaa.iam.uni-bonn.de

Lecture Notes: Convergence of Infinite Sums Homer Reid February 6, 2014 Consider a convergent infinite sum S=

Source URL: homerreid.dyndns.org

• Mathematical analysis
• Mathematics
• Analysis
• Functions and mappings
• Asymptotic analysis
• Numerical integration
• EulerMaclaurin formula
• Hilbert space
• Summation
• Integral
• Series
• Derivative

A NEW APPROACH TO THE RENORMALIZATION OF UV DIVERGENCES USING ZETA REGULARIZATION TECHNIQUES Jose Javier Garcia Moreta Graduate student of Physics at the UPV/EHU (University of Basque country) In Solid State Physics Addr

Source URL: empslocal.ex.ac.uk

• Quantum field theory
• Number theory
• Asymptotic analysis
• Mathematical series
• Zeta function regularization
• Riemann zeta function
• Bernoulli polynomials
• Euler–Maclaurin formula
• Bernoulli number
• Mathematical analysis
• Mathematics
• Summability methods

Mathematical Notes, Vol. 64, No. 2, 98 On the Number of Summands in the Asymptotic Formula for the Number of Solutions to Waring’s Equation A. V. Ustinov

Source URL: iam.khv.ru