Results 81 to 90 of about 2,043 (239)
Congruences concerning Bernoulli numbers and Bernoulli polynomials
Let \(B_n(x)\), resp. \(B_n\), denote the classical Bernoulli polynomial, resp. number. In the paper under review the author proves some generalizations of Kummer's congruence by determining \[ \frac{B_{k(p-1)+b}(x)}{(k(p-1)+b)}\pmod{p^n} \] where \(p\) is an odd prime, \(x\) a \(p\)-integral rational number and \(p-1\nmid b\), while Kummer considered ...
openaire +1 more source
ABSTRACT Quantifying harvest of fish stocks is challenging as census data are often unavailable, so surveys are required. Traditional probability‐based surveys use random sampling to obtain representative data that can be scaled to estimate total impact.
Zachary Radford +8 more
wiley +1 more source
A short proof of the Almkvist-Meurman theorem
We give a short generating function proof of the Almkvist-Meurman theorem: For integers $h$ and $k\ne0$, define the numbers $M_n(h,k)$ by $kx(e^{hx}-1)/(e^{kx}-1)=\sum_{n=0}^\infty M_n(h,k) x^n/n!$.
Gessel, Ira M.
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Fungsi Zeta Riemann Genap Menggunakan Bilangan Bernoulli
In this article, we study about the value of Riemann Zeta Function for even numbers using Bernoulli number. First, we give some basic theory about Bernoulli number and Riemann Zeta function.
Ikhsan Maulidi +2 more
doaj +1 more source
A Horse Race of Machine‐Learning Methods to Predict Banking Crises
ABSTRACT To examine if one machine‐learning model can consistently elucidate financial vulnerabilities, both over time and across levels of development, this paper applies 13 machine‐learning algorithms to evaluate comparative forecasting performance across several banking crises.
Emile du Plessis
wiley +1 more source
Note on a numerical equality regarding the eta invariant on Berger spheres
The Dirac APS eta invariant on a Berger sphere of dimension $2n-1$ is discovered, numerically, to coincide, up to spin factors, with the Dirac conformal anomaly on a round sphere of even dimension, $n$.
Dowker, J. S.
core +1 more source
On New Proofs of Inequalities Involving Trigonometric Functions
In the note, some new proofs for inequalities invoving trigonometric functions are ...
Qi, Feng +3 more
core
A Conversation With David Bellhouse
Summary David Richard Bellhouse was born in Winnipeg, Manitoba, on 19 July 1948. He studied actuarial mathematics and statistics at the University of Manitoba (BA, 1970; MA, 1972) and completed his PhD at the University of Waterloo, Ontario, in 1975. After being an Assistant Professor for 1 year at his alma mater, he joined the University of Western ...
Christian Genest
wiley +1 more source
A joint model of cost and churn for the insurance industry
Abstract In insurance markets, claim costs are highly variable, heavy‐tailed, and difficult to predict. At the same time, policyholder retention and lapse behavior (customer churn) are critical determinants of long‐term profitability and solvency. Most existing models in the literature treat claim costs and lapses as independent, overlooking potential ...
Yumo Dong +4 more
wiley +1 more source
An analogue to a conjecture of S. Chowla and H. Walum
It is proved that (for every ε > 0) ∑n⩽T13 ...
Nowak, Werner Georg
core +1 more source

