Editor\u27s Note

Page 4

The Jean Cocteau Collection: How \u27Astonishing\u27?

Between 1963 and 1971, the Syracuse University Library acquired more than two hundred fifty holograph manuscripts by Jean Cocteau. These are now to be found in the George Arents Research Library for Special Collections, where they enhance an already rich assortment of French manuscripts that have been thoroughly listed in a previous article in the Courier. An abridged history of their acquisition might be told here. The story is interesting, for it includes several of those ironical twists that made so much of Cocteau\u27s life seem like a chassé-croisé with Death, choreographed by the artist himself

An Interview with Emmanuel Le Roy Ladurie

The renowned historian Le Roy Ladurie dicusses his influences, his writing, his career as scholar and director of the Bibliotheque Nationale, and his views on Europe\u27s religious, economic, and political inheritance

Bronze in Negative Space

Photographs of bronze castings and related drawings, with comments by the artist about his methods and background

An Original note on Fermat numbers, on numbers of the form Wn and on numbers of the form 10k + 8 + Fn [ where Wn ∈ {22 + Fn, 2 n + Fn}, n is an integer ≥ 0, Fn is a Fermat number and k is an integer ≥ 0]

A Fermat number is a number of the form Fn = 2^2^ n+ 1, where n is an integer ≥ 0. A Fermat composite (see [1] or [2] or [4] ) is a non prime Fermat number. Fermat composites and Fermat primes are characterized via divisibility in [4] and [5] (A Fermat prime (see [1] or [2] or [4] ) is a prime Fermat number). It is known (see [4]) that for every j ∈ {0, 1, 2, 3, 4}, Fj is a Fermat prime and it is also known (see [2] or [3]) that F5 and F6 are Fermat composites. In this paper, we show [via elementary arithmetic congruences] the following result (T.). For every integer n ≥ 2, Fn − 1 ≡ 1 mod[j] (where j ∈ {3, 5}). Result (T) immediately implies that for every fixed integer k ≥ 0, there exists at most two primes of the form 10k + 8 + Fn [in particular , for every fixed integer k ≥ 0, the numbers of the form 10k + 8 + Fn (where n is an integer ≥ 2) are all composites]. Result (T.) also implies that there are infinitely many composite numbers of the form 2n + Fn and there exists no prime number of form 22+Fn. Result (T.) coupled with a special case of a Theorem of Dirichlet help us to explain why it is natural to conjecture that there are infinitely many Fermat primes

An Hour of Last Things: An Interview with George P. Elliott

In an interview with the editor, George P. Elliott discusses nihilism , science fiction, erotic language, the intricacies of human relationships, and his conservative liberalism\u27.\u2

F.A.R.O.G. FORUM, Vol. 5 No. 4

https://digitalcommons.library.umaine.edu/francoamericain_forum/1017/thumbnail.jp

Three-loop QCD corrections and b-quark decays

We present three-loop (NNNLO) corrections to the heavy-to-heavy quark transitions in the limit of equal initial and final quark masses. In analogy with the previously found NNLO corrections, the bulk of the result is due to the beta_0^2 alpha_s^3 corrections. The remaining genuine three-loop effects for the semileptonic b --> c decays are estimated to increase the decay amplitude by 0.2(2)%. The perturbative series for the heavy-heavy axial current converges very well.Comment: 5 page