«Ռիմանի զետա ֆունկցիա»–ի խմբագրումների տարբերություն

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Տող 40.
 
== Գրականության ցանկ ==
* {{dlmf|id=25|first=T. M.|last=Apostol|title=Zeta and Related Functions}}
* {{cite journal|last1=Borwein|first1=Jonathan|last2=Bradley|first2=David M.|last3=Crandall|first3=Richard|author3-link=Richard Crandall|year=2000|title=Computational Strategies for the Riemann Zeta Function|url=http://www.maths.ex.ac.uk/~mwatkins/zeta/borwein1.pdf|format=PDF|journal=J. Comp. App. Math.|volume=121|issue=1–2|pages=247–296|bibcode=2000JCoAM.121..247B|doi=10.1016/S0377-0427(00)00336-8|author1-link=Jonathan Borwein}}
* {{cite journal|last1=Cvijović|first1=Djurdje|last2=Klinowski|first2=Jacek|year=2002|title=Integral Representations of the Riemann Zeta Function for Odd-Integer Arguments|journal=J. Comp. App. Math.|volume=142|issue=2|pages=435–439|bibcode=2002JCoAM.142..435C|doi=10.1016/S0377-0427(02)00358-8|mr=1906742}}
* {{cite journal|last1=Cvijović|first1=Djurdje|last2=Klinowski|first2=Jacek|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}}
* {{math|''z'' {{=}} 1}} Has an English translation of Riemann's paper.
* {{cite journal|last1=Hadamard|first1=Jacques|authorlink=Jacques Hadamard|year=1896|title=Sur la distribution des zéros de la fonction {{math|''ζ''(''s'')}} et ses conséquences arithmétiques|url=|journal=Bulletin de la Societé Mathématique de France|volume=14|issue=|pages=199–220}}
* {{math|''z'' {{=}} 1}}
* {{math|''q'' {{=}} 1}} (Globally convergent series expression.)
* {{math|Cl<sub>''s''</sub>(''θ'')}}
* {{math|Li<sub>''s''</sub>(''e''{{isup|''iθ''}})}}
* {{cite book|title=The Riemann Zeta-Function|last1=Karatsuba|first1=A. A.|last2=Voronin|first2=S. M.|publisher=W. de Gruyter|year=1992|location=Berlin|author1-link=A. A. Karatsuba}}
* {{mvar|n}}
* {{cite book|title=Multiplicative number theory. I. Classical theory|last=Montgomery|first=Hugh L.|last2=Vaughan|first2=Robert C.|publisher=Cambridge University Press|year=2007|isbn=0-521-84903-9|series=Cambridge tracts in advanced mathematics|volume=97|at=Ch. 10|authorlink=Hugh Montgomery (mathematician)|authorlink2=Robert Charles Vaughan (mathematician)}}
* {{mvar|α}}
* {{cite book|title=Fractional derivative of the Riemann zeta function|last1=Guariglia|first1=E.|publisher=In: Fractional Dynamics (Cattani, C., Srivastava, H., and Yang, X. Y.). De Gruyter|year=2015|pages=357–368|doi=10.1515/9783110472097-022}}
* {{Cite journal|last=Riemann|first=Bernhard|year=1859|title=Über die Anzahl der Primzahlen unter einer gegebenen Grösse|url=http://www.maths.tcd.ie/pub/HistMath/People/Riemann/Zeta/|journal=Monatsberichte der Berliner Akademie}}. In ''Gesammelte Werke'', Teubner, Leipzig (1892), Reprinted by Dover, New York (1953).
* {{cite journal|last1=Sondow|first1=Jonathan|year=1994|title=Analytic continuation of Riemann's zeta function and values at negative integers via Euler's transformation of series|url=http://www.ams.org/journals/proc/1994-120-02/S0002-9939-1994-1172954-7/S0002-9939-1994-1172954-7.pdf|journal=Proc. Amer. Math. Soc.|volume=120|issue=2|pages=421–424|doi=10.1090/S0002-9939-1994-1172954-7}}
* {{mvar|α}}
* {{mvar|α}}
* {{Reflist|30em}}
 
== Արտաքին հղումներ ==