Editing De Bruijn–Newman constant (section)

== History ==
De Bruijn showed in 1950 that <math>H</math> has only real zeros if <math>\lambda\geq 1/2</math>, and moreover, that if <math>H</math> has only real zeros for some <math>\lambda</math>, <math>H</math> also has only real zeros if <math>\lambda</math> is replaced by any larger value.<ref name="de Bruijn roots">{{cite journal|last1=de Bruijn|first1=N.G.|author-link=Nicolaas Govert de Bruijn|year=1950|title=The Roots of Triginometric Integrals|url=https://pure.tue.nl/ws/files/1769368/597490.pdf|journal=Duke Math. J.|volume=17|issue=3|pages=197–226|doi=10.1215/s0012-7094-50-01720-0|zbl=0038.23302}}</ref> Newman proved in 1976 the existence of a constant <math>\Lambda</math> for which the "if and only if" claim holds; and this then implies that <math>\Lambda</math> is unique. Newman also conjectured that <math>\Lambda\geq 0</math>,<ref>{{cite journal|last1=Newman|first1=C.M.|year=1976|title=Fourier Transforms with only Real Zeros|journal=Proc. Amer. Math. Soc.|volume=61|issue=2|pages=245–251|doi=10.1090/s0002-9939-1976-0434982-5|zbl=0342.42007|doi-access=free}}</ref> which was proven forty years later, by Brad Rodgers and Terence Tao in 2018.