Infinite-series representations of correlation functions

2002 ◽  
pp. 153-174
2007 ◽  
Vol 6 (12) ◽  
pp. 4320-4328 ◽  
Author(s):  
Prathapasinghe Dharmawansa ◽  
Nandana Rajatheva ◽  
Chinthananda Tellambura

2017 ◽  
Vol 11 (2) ◽  
pp. 386-398 ◽  
Author(s):  
Horst Alzer ◽  
Junesang Choi

We present one-parameter series representations for the following series involving the Riemann zeta function ??n=3 n odd ?(n)/n sn and ??n=2 n even ?(n) n sn and we apply our results to obtain new representations for some mathematical constants such as the Euler (or Euler-Mascheroni) constant, the Catalan constant, log 2, ?(3) and ?.


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