On the Unimodality of $L$ Functions

Wolfe, Stephen James

Ann. Math. Statist., Tome 42 (1971) no. 6, p. 912-918 / Harvested from Project Euclid

Résumé

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.

Publié le : 1971-06-14
Classification:

@article{1177693320,
     author = {Wolfe, Stephen James},
     title = {On the Unimodality of $L$ Functions},
     journal = {Ann. Math. Statist.},
     volume = {42},
     number = {6},
     year = {1971},
     pages = { 912-918},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1177693320}
}

Wolfe, Stephen James. On the Unimodality of $L$ Functions. Ann. Math. Statist., Tome 42 (1971) no. 6, pp.  912-918. http://gdmltest.u-ga.fr/item/1177693320/