Editing Riemann zeta function (section)

==Sources==
{{refbegin|colwidth=25em|small=yes}}
* {{dlmf
 |first=T.M. |last=Apostol
 |title=Zeta and Related Functions
 |id=25
 |mode=cs1
}}
* {{cite journal
 | first1=Jonathan | last1=Borwein   | author1-link=Jonathan Borwein
 | first2=David M. | last2=Bradley
 | first3=Richard  | last3=Crandall  | author3-link=Richard Crandall
 | title = Computational Strategies for the Riemann Zeta Function
 | journal=J. Comput. Appl. Math.
 | year=2000
 | volume=121 | issue=1–2 | pages=247–296
 | doi=10.1016/S0377-0427(00)00336-8  | doi-access=free
 | bibcode = 2000JCoAM.121..247B
 }}
* {{cite journal
 | first1=Djurdje |last1= Cvijović
 | first2=Jacek   |last2= Klinowski
 | year=2002
 | title = Integral representations of the Riemann zeta function for odd-integer arguments
 | journal=J. Comput. Appl. Math.
 | volume=142 | issue=2 | pages=435–439
 | doi = 10.1016/S0377-0427(02)00358-8  | doi-access=free
 | mr=1906742  | bibcode=2002JCoAM.142..435C
}}
* {{cite journal
 | first1=Djurdje | last1= Cvijović
 | first2= Jacek  | last2= Klinowski
 | year=1997
 | title = Continued-fraction expansions for the Riemann zeta function and polylogarithms
 | journal=Proc. Amer. Math. Soc.
 | volume=125 | issue=9  | pages=2543–2550
 | doi = 10.1090/S0002-9939-97-04102-6 | doi-access=free
}}
* {{cite book
 |first=H.M. |last=Edwards |author-link=Harold Edwards (mathematician)
 |year=1974
 |title=Riemann's Zeta Function
 |publisher=Academic Press
 |isbn=0-486-41740-9
 |url=https://archive.org/details/riemannszetafunc00edwa_0
 |url-access=registration |via=archive.org
}} Has an English translation of Riemann's paper.
* {{cite journal
 | last1 = Hadamard | first1 = Jacques | author-link = Jacques Hadamard
 | year = 1896
 | title = Sur la distribution des zéros de la fonction {{math|''ζ''(''s'')}} et ses conséquences arithmétiques  |language=fr
 | trans-title = Regarding the distribution of the zeros of the function {{math|''ζ''(''s'')}} and the arithmetical consequences
 | journal = Bulletin de la Société Mathématique de France
 | volume = 14 | pages = 199–220
 | doi = 10.24033/bsmf.545 | doi-access = free
}}
* {{cite book
 |first=G.H. |last=Hardy  |author-link=G. H. Hardy
 |year=1949
 |title=Divergent Series
 |publisher=Clarendon Press
 |place=Oxford, UK
}}
* {{cite journal
 |first = Helmut |last = Hasse  |author-link = Helmut Hasse
 |year=1930
 |title=Ein Summierungsverfahren für die Riemannsche {{mvar|ζ}}-Reihe  |language=de
 |trans-title=A summation method for the Riemann {{mvar|ζ}} series
 |journal=Math. Z.
 |volume=32  |pages=458–464
 |mr=1545177 |s2cid=120392534
 |doi=10.1007/BF01194645
}} (Globally convergent series expression.)
* {{cite book
 |first=Aleksandar |last=Ivic | author-link=Aleksandar Ivić
 |year=1985
 |title=The Riemann Zeta Function
 |publisher=John Wiley & Sons
 |isbn=0-471-80634-X
}}
*{{cite book
 | first=Y. |last=Motohashi
 | year=1997
 | title=Spectral Theory of the Riemann Zeta-Function
 | publisher= Cambridge University Press
 | isbn=0521445205
}}
* {{cite book
 |first1=A.A. |last1= Karatsuba |author1-link=A. A. Karatsuba
 |first2=S.M. |last2= Voronin
 |year=1992
 |title=The Riemann Zeta-Function
 |publisher= W. de Gruyter
 |location= Berlin, DE
}}
* {{cite book
 | first1=Hugh L.   |last1= Montgomery |author-link=Hugh Montgomery (mathematician)
 | first2=Robert C. |last2=Vaughan     |author-link2=Robert Charles Vaughan (mathematician)
 | year=2007
 | title=Multiplicative Number Theory. I. Classical theory
 | series=Cambridge tracts in advanced mathematics  | volume=97
 | publisher=Cambridge University Press
 | isbn=978-0-521-84903-6
 | at=Chapter&nbsp;10
}}
* {{cite book
 | first1=Donald J. |last1=Newman   | author-link=Donald J. Newman
 | year=1998
 | title=Analytic Number Theory
 | series=[[Graduate Texts in Mathematics]]  | volume=177
 | publisher=Springer-Verlag
 | isbn=0-387-98308-2
 |at=Ch. 6}}
* {{cite journal
 |first1=Guo |last1=Raoh
 |year=1996
 |title=The distribution of the logarithmic derivative of the Riemann zeta function
 |journal=Proceedings of the London Mathematical Society
 |volume=S3–72 |pages=1–27
 |doi=10.1112/plms/s3-72.1.1
}}
* {{cite journal
 |first=Bernhard  |last=Riemann |author-link=Bernhard Riemann
 |year=1859
 |title=Über die Anzahl der Primzahlen unter einer gegebenen Grösse
 |language=de, en
 |journal=Monatsberichte der Berliner Akademie
 |url=http://www.maths.tcd.ie/pub/HistMath/People/Riemann/Zeta/
 |via=[[Trinity College, Dublin]] (maths.tcd.ie)
}} Also available in {{cite book
 |first=Bernhard  |last=Riemann |author-link=Bernhard Riemann
 |orig-year=1892  |year=1953
 |title=Gesammelte Werke |language=de
 |trans-title=Collected Works
 |editor=
 |edition=reprint
 |publisher=Dover (1953) / Teubner (1892)
 |place= New York, NY / Leipzig, DE
}}
* {{cite journal
 |first=Jonathan |last=Sondow
 |year=1994
 |title= Analytic continuation of Riemann's zeta function and values at negative integers via Euler's transformation of series
 |journal = [[Proceedings of the American Mathematical Society]]
 |volume=120  |issue=2  |pages=421–424
 |doi=10.1090/S0002-9939-1994-1172954-7  |doi-access=free
 |url=https://www.ams.org/journals/proc/1994-120-02/S0002-9939-1994-1172954-7/S0002-9939-1994-1172954-7.pdf
 |via=[[American Mathematical Society]] (ams.org)
}}
* {{cite book
 |first=E.C. |last=Titchmarsh  |author-link=Edward Charles Titchmarsh
 |year= 1986
 |title=The Theory of the Riemann Zeta Function |edition=2nd rev.
 |editor-last=Heath-Brown
 |publisher=Oxford University Press
}}
* {{cite book
 |first1=E.T. |last1=Whittaker  |author1-link=E. T. Whittaker
 |first2=G.N. |last2=Watson     |author2-link=G. N. Watson
 |date=1927
 |title=A Course in Modern Analysis |edition=4th
 |publisher=Cambridge University Press
 |at=Chapter&nbsp;13
}}
* {{cite journal
 | first =Jianqiang |last =Zhao
 | year=1999
 | title = Analytic continuation of multiple zeta functions
 | journal=[[Proceedings of the American Mathematical Society]]
 | volume=128 | issue=5 | pages=1275–1283
 | doi=10.1090/S0002-9939-99-05398-8  | doi-access=free
 | mr=1670846
}}
{{refend}}