I have used the book of kahane and salem 21 and ka

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I have used the book of Kahane and Salem [21] and Ka- hane’s eries de Fourier Absolument Convergentes [18] as gen- eral sources of information. Sections 1 to 3 are based on [14], Section 4 is based on the treatment of Malliavin’s theorem in [15] whilst section 5 is a composite from both sources. The proof of Theorem 6 is taken from [16] but I have modified it substantially. The proofs of Lemmas 3 and 4 are my own, though they may well exist elsewhere in the literature. 6.2 Secondary references Suppose that the paper of Y [17] you consult says ‘X has shown [18] that all left principles are right principles’. The obvious thing to do is to repeat the reference. However the obvious thing to do may be the wrong thing. Never cite a reference that you have not read. It may not exist, it may not say what you think it says and, in any case, by citing it you claim to have done something you have not done. The best thing to do is to get hold of the reference, verify that it does what Y says it does and then cite it. If you cannot get hold of the reference then what you do depends on whether you know by other means that all left principles are right principles. If you know that the result is true you are simply acknowledging priority and you can write ‘X (see citation in [17]) has shown that all left principles are right principles’ where [17] is your reference to Y’s paper. If you do not know whether the result is true you should consider very carefully whether to include any mention of it at all. If you do decide to refer to it you must 25
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proceed with the utmost caution. The words ‘X claims to have proved .... may annoy X. Perhaps honesty ‘In [17] Y reports a proof of X that left principles are right principles but I have not been able to obtain the original paper [18]’ is the best policy. 6.3 Data A rose by any other name would smell as sweet, and, presumably, the Air on a G String would sound as sweet if we did not know that it was by Bach. The fact that Stokes’s Theorem was first discovered by Kelvin (and first published as a Cambridge examination problem) does not affect its truth. We acknowledge the authorship of poems, music and proofs out of courtesy (and in the hope that others will extend the same courtesy to us). Data, on the other hand, is like evidence in court, valueless without a provenance. Compare the effect of ‘Someone said that the knave of hearts stole the tarts’ with ‘X said that the knave of hearts stole the tarts’, ‘X told me that he saw the knave of hearts steal the tarts’, and ‘I saw the knave of hearts steal the tarts’. For this reason data must always be accompanied by references such as ‘The graph of wing span against speed is taken from [19].’ From the point of view of your essay points where you quote data may well be points where you have the opportunity to add something. At its simplest you may be able to gather data from other papers but if your essay is about a statistical technique you could try it out on data from another source or obtained by Monte Carlo simulation.
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