Abstract
It is shown that an $L$ function is unimodal if its Levy spectral function has support on $(-\infty, 0\rbrack$ or on $\lbrack 0, \infty)$, and that this implies that every $L$ function is the convolution of at most two unimodal $L$ functions. Other results concerning the unimodality of $L$ functions and other infinitely divisible distribution functions are also obtained.
Citation
Stephen James Wolfe. "On the Unimodality of $L$ Functions." Ann. Math. Statist. 42 (3) 912 - 918, June, 1971. https://doi.org/10.1214/aoms/1177693320
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