On the Andrews congruence for the Fibonacci quotient

We show that a congruence discovered by George E. Andrews in 1969 for the Fibonacci quotient directly implies a simpler congruence found by Hugh C. Williams in 1991

Extended calculations of a special Harmonic number

The search for values of $p$ for which the Harmonic numbers $H_{\lfloor p/6 \rfloor}$ vanish mod $p$, carried to $p < 600,000$ by Schwindt in 1983, is extended here to $p < 16,949,000,000,000$, and two new solutions are reported

Schoenberg and the Gesamtkunstwerk path to abstraction

In the years before 1914, the Austrian composer and artist Arnold Schoenberg (1874-1951) produced abstract images for a planned Gesamtkunstwerk (synthesis of the arts) based on Balzac’s (1799-1850) novella, Seraphita, a fictionalized version of the religious ideas of Emanuel Swedenborg (1688-1772). The images were intended to be transformed into a fully abstract synthesis of music and moving pictures: a film with synchronous sound. This concept presented technical challenges which might be insoluble even with modern technology; it was never fully realized. This thesis contributes to the current art-historical discourse on the genesis of abstraction and offers an alternative to the more usual narrative of “coloured paint on a flat canvas”

A Characterization of Wilson-Lerch Primes

This note presents criteria in terms of Bernoulli numbers for a prime to be simultaneously a Wilson prime and a Lerch prime.http://www.integers-ejcnt.org/q51/q51.Abstract.htm

A matrix variation on Ramus's identity for lacunary sums of binomial coefficients

We study the well-known lacunary sums of binomial coefficients considered, most notably, by Christian Ramus, and their connection to a special kind of harmonic number associated with the first case of Fermat's Last Theorem. For one case of Ramus's famous identity we obtain a variation in which some of the parameters are replaced by square matrices of arbitrary dimension.http://ijmcs.future-in-tech.net/12.1/R-Dobson.pd

Van Dongen: a new name in the ancestry of the Verveelen family

A power-of-attorney granted by the New Netherland colonist Daniel Verveelen in 1658 mentions his "great-grandmother Catharina Jans van Dongen." This article examines the question of whether she was the same as his known great-grandmother, Catharina Jans Oliviers

The parentage of Sir Justus Beck

Advance Access version published 31 March 2012This note demonstrates that Sir Justus Beck (1679–1722), 1st Baronet, was baptized 8 November 1679 at Amsterdam, as Joost, son of Jacob George Beck and Margaretha de Smeth.https://academic.oup.com/nq/article/59/2/188/123039

The fraudulent Coligny-Rapalje descent

Jerome B. Holgate, in his American Genealogy (fictitiously dated 1848), derives the Rapalje family from an alleged Gaspard Colet de Rapalje "born in France, at Châtillon, sur Loire, in 1505." We suggest that this personage was manufactured from the record of an actual Gaspard de Coligny born at Châtillon, but who never used the additional surname de Rapalje, and who was in fact born in 1554 and died (unmarried) as a youth.http://www.genlit.org/agr/viewarticle.php?id=1