American Mathematical Monthly Problem 11391 by Marian Tetiva (edited)

American Mathematical Monthly Problem

Let p be a prime number, and s a positive integer. Let k be an integer, and let n be an integer such that n ≥ k ≥ p s − p s−1 .

The Hankel Determinant of Exponential Polynomials: A Very Short Proof and a New Result Concerning Euler Numbers

NOTES Warren P. Johnson Combinatorics of Higher Derivatives 273 of Inverses Christian Radoux The Hankel Determinant of Exponential 277 Polynomials: A Very Short Proof and a New Result Concerning Euler Numbers Karl Dilcher Dedekind Sums and Uniform Distributions 279 Kurt Girstmair Robbert Fokkink R3 Has No Root 285 THE EVOLUTION OF... John Stillwell The Continuum Problem 286 PROBLEMS AND 298 SOL...

A Polynomial Parent to a Fibonacci-Lucas Relation

faculty there in 1969. He has held other faculty positions and visiting positions at many universities and research institutes around the world. He has written more than 1000 papers and has collaborated with over 400 co-authors. His other publications include (for example) 21 books, monographs, and edited volumes. See http://www.math.uvic.ca/faculty/harimsri/. Department of Mathematics and Stat...

The Problem of Squarable Lunes

An Elementary Problem Equivalent to the Riemann Hypothesis

The problem is: Let Hn = n ∑ j=1 1 j be the n-th harmonic number. Show, for each n ≥ 1, that