Editing 1914 in science (section)

==Mathematics==
* In analysis of the [[Riemann hypothesis]]
** [[G. H. Hardy]] shows there are infinitely many [[Riemann hypothesis#Zeros on the critical line|zeros on the critical line]].<ref>{{cite journal|last=Hardy|first=G. H.|title=Sur les zéros de la fonction ζ(s) de Riemann|journal=Comptes rendus de l'Académie des sciences|location=Paris|volume=158|pages=1012–1014|year=1914|url=http://gallica.bnf.fr/ark:/12148/bpt6k3111d.image.f1014.langEN|jfm=45.0716.04}} Reprinted in {{cite book|isbn=978-0-387-72125-5|editor1-last=Borwein|title=The Riemann Hypothesis: A Resource for the {{sic|Af|ficionado|hide=y}} and Virtuoso Alike|series=CMS Books in Mathematics|publisher=Springer|place=New York|editor1-first=Peter|editor2-first=Stephen|editor2-last=Choi|editor3-first=Brendan|editor3-last=Rooney|editor4-first=Andrea|editor4-last=Weirathmueller|year=2008}}</ref> [[Harald Bohr]] and [[Edmund Landau]] show that for any positive ε, all but an infinitely small proportion of zeros lie within a distance ε of the critical line;<ref>{{cite journal|last1=Bohr|first1=H.|last2=Landau|first2=E.|title=Ein Satz über Dirichletsche Reihen mit Anwendung auf die ζ-Funktion und die ''L''-Funktionen | doi=10.1007/BF03014823|journal=[[Rendiconti del Circolo Matematico di Palermo]]|volume=37|issue=1|year=1914|pages=269–272|s2cid=121145912}}</ref> and R. J. Backlund introduces a better method of checking the zeros.
** [[J. E. Littlewood]] shows that the [[prime number theorem]] underestimates the cumulative total of [[prime number|primes]].<ref>{{cite journal|doi=10.2307/27641834|last1=Granville|first1=Andrew|last2=Martin|first2=Greg|authorlink=Andrew Granville|date=January 2006|title=Prime Number Races|journal=American Mathematical Monthly|volume=113|issue=1|pages=1–33|url=http://www.dms.umontreal.ca/%7Eandrew/PDF/PrimeRace.pdf|jstor=27641834}}</ref>