A sinc that sank

A sinc that sank
David Borwein, Jonathan M. Borwein, Armin Straub — American Mathematical Monthly — Volume 119, Number 7, 2012, Pages 535-549


We resolve and further study a sinc integral evaluation, first posed in the American Mathematical Monthly in [1967, p. 1015], which was solved in [1968, p. 914] and withdrawn in [1970, p. 657]. After a short introduction to the problem and its history, we give a general evaluation which we make entirely explicit in the case of the product of three sinc functions. Finally, we exhibit some general structure of the integrals in question.


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    author = {David Borwein and Jonathan M. Borwein and Armin Straub},
    title = {A sinc that sank},
    journal = {American Mathematical Monthly},
    year = {2012},
    volume = {119},
    number = {7},
    pages = {535--549},
    doi = {10.4169/amer.math.monthly.119.07.535},