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A matrix variation on Ramus's identity for lacunary sums of binomial coefficients
(International Journal of Mathematics and Computer Science / Lebanese University, Beirut, 2017-01)
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. ...
A Characterization of Wilson-Lerch Primes
(Integers, 2016-07)
This note presents criteria in terms of Bernoulli numbers for a prime to be simultaneously a Wilson prime and a Lerch prime.
The fraudulent Coligny-Rapalje descent
(Annals of Genealogical Research, 2006)
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 ...
The ver Veelen family in Cologne and Amsterdam
(New York Genealogical and Biographical Society, 2004)
The Family of Hendrick Cock of Amsterdam
(New York Genealogical and Biographical Society, 2011)
On the Andrews Congruence for the Fibonacci Quotient
(Fibonacci Association, 2015-11)
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.
Lenaerts and Sassenbroeck, ancestors of the Nevius Family of New Netherland
(New York Genealogical and Biographical Society, 2009)
The German Origin of Andreas Flach, of Flocktown, German Valley, Roxbury Township, Morris County, New Jersey
(Genealogical Society of New Jersey, 2017)
While previously known records of Andreas Flach (1711-1779) of Flocktown contain no direct clue as to his place of origin, the basic structure of his family is established by the account in Chambers's Early Germans of New ...
Some Erroneous Marriages in Bergen's Kings County
(New Netherland Connections, 2001)
A number of alleged marriages in Teunis G. Bergen's Register ... of the early settlers of Kings County (1881) derive from the misreading of a single source, namely the seventeenth-century membership lists of the Flatbush ...
Recent Literature on the Duncanson Sisters of New Netherland
(New York Genealogical and Biographical Society, 2013)