Second referee's report by Harold Jeffreys and Frank Smithies, on a paper 'Some remarks on integral equations with kernels: L (?1 -x1,..., ?n -xn; a)' by Georg Kreisel Sectional Committee: Mathematics The paper is now generally right, but there are still points of detail which require attention. The paper reads like a memorandum, with 'rather vague references to things that are in the author's mind but that probably won't be in the reader's', and with careless attention to details. However, the results are new and go in a new direction, with both theoretical and practical interest. Provides detailed criticism of the mathematics that requires attention. [Published in the 'Proceedings of the Royal Society of London'] No received date. 2 October 1948