Limit Representations of Riemanns Zeta Function
Apstrakt
In this article, it is shown that Riemanns zeta function zeta(s) admits two limit representations when R(s) GT 1. Each of these limit representations is deduced by using simple arguments based upon the classical Tannerys (limiting) theorem for series.
Izvor:
American Mathematical Monthly, 2012, 119, 4, 324-330
DOI: 10.4169/amer.math.monthly.119.04.324
ISSN: 0002-9890; 1930-0972
WoS: 000310395100007
Scopus: 2-s2.0-84860682738
Kolekcije
Institucija/grupa
VinčaTY - JOUR AU - Cvijović, Đurđe AU - Srivastava, Hari M. PY - 2012 UR - https://vinar.vin.bg.ac.rs/handle/123456789/5126 AB - In this article, it is shown that Riemanns zeta function zeta(s) admits two limit representations when R(s) GT 1. Each of these limit representations is deduced by using simple arguments based upon the classical Tannerys (limiting) theorem for series. T2 - American Mathematical Monthly T1 - Limit Representations of Riemanns Zeta Function VL - 119 IS - 4 SP - 324 EP - 330 DO - 10.4169/amer.math.monthly.119.04.324 ER -
@article{ author = "Cvijović, Đurđe and Srivastava, Hari M.", year = "2012", abstract = "In this article, it is shown that Riemanns zeta function zeta(s) admits two limit representations when R(s) GT 1. Each of these limit representations is deduced by using simple arguments based upon the classical Tannerys (limiting) theorem for series.", journal = "American Mathematical Monthly", title = "Limit Representations of Riemanns Zeta Function", volume = "119", number = "4", pages = "324-330", doi = "10.4169/amer.math.monthly.119.04.324" }
Cvijović, Đ.,& Srivastava, H. M.. (2012). Limit Representations of Riemanns Zeta Function. in American Mathematical Monthly, 119(4), 324-330. https://doi.org/10.4169/amer.math.monthly.119.04.324
Cvijović Đ, Srivastava HM. Limit Representations of Riemanns Zeta Function. in American Mathematical Monthly. 2012;119(4):324-330. doi:10.4169/amer.math.monthly.119.04.324 .
Cvijović, Đurđe, Srivastava, Hari M., "Limit Representations of Riemanns Zeta Function" in American Mathematical Monthly, 119, no. 4 (2012):324-330, https://doi.org/10.4169/amer.math.monthly.119.04.324 . .