Authors: Martin Nicholson
Several Fourier transformations of functions of one and two variables are evaluated andthen used to derive some integral and series identities. It is shown that certain double Mordellintegrals can be reduced to a sum of products of one-dimensional Mordell integrals. As aconsequence of this reduction, a quadratic polynomial identity is found connecting productsof certain one-dimensional Mordell integrals. An integral that depends on one real valuedparameter is calculated reminiscent of an integral previously calculated by Ramanujan andGlasser. Some connections to elliptic functions and lattice sums are discussed.
Comments: 12 Pages. 2 references and a new section is adde, presentation and notation improved, typos corrected, abstract rewritten to better reflect the contents of the paper.
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[v1] 2017-12-15 08:30:49
[v2] 2020-01-13 12:11:22
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