On Some General Tornheim-Type Series
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DOI: 10.3390/math12121867
Abstract: In this paper, we solve the open problem posed by Kuba by expressing ∑j,k≥1Hk(u)Hj(v)Hj+k(w)jrks(j+k)t as a linear combination of multiple zeta values. These sums include Tornheim’s double series as a special case. Our approach is… read more here.
Keywords: type series; tornheim type; series; general tornheim ... See more keywords
On General Alternating Tornheim-Type Double Series
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DOI: 10.3390/math12172621
Abstract: In this paper, we express ∑n,m≥1ε1nε2mMn(u)Mm(v)nrms(n+m)t as a linear combination of alternating multiple zeta values, where εi∈{1,−1} and Mk(u)∈{Hk(u),H¯k(u)}, with Hk(u) and H¯k(u) being harmonic and alternating harmonic numbers, respectively. These sums include Subbarao and… read more here.
Keywords: tornheim type; general alternating; series; type double ... See more keywords