scholarly journals Double shuffle relations of double zeta values and the double Eisenstein series at levelN

2015 ◽  
Vol 92 (3) ◽  
pp. 520-546 ◽  
Author(s):  
Haiping Yuan ◽  
Jianqiang Zhao
Keyword(s):  
Eisenstein Series ◽  
Double Zeta ◽  
Zeta Values ◽  
Double Eisenstein Series

scholarly journals On Lara Rodríguez’ full conjecture for double zeta values in function fields

2018 ◽  
Vol 14 (04) ◽  
pp. 1081-1092 ◽  
Author(s):  
Ryotaro Harada
Keyword(s):  
Power Series ◽  
Function Fields ◽  
Product Formula ◽  
Double Zeta ◽  
Zeta Values

This paper discusses four formulae conjectured by Lara Rodríguez on certain power series in function fields, which yield a “harmonic product” formula for Thakur’s double zeta values. We prove affirmatively the first two formulae, detect and correct errors in the last two formulae, and prove the corrected ones.

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