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math.NT2013★ 3 cited
Subgroups of the additive group of real line
Jitender Singh
Without assuming the field structure on the additive group of real numbers with the usual order we explore the fact that every proper subgroup of is…
math.NT2013
Sums of products of power sums
Jitender Singh
For any two arithmetic functions let be the commutative and associative arithmetic convolution $(f\bullet g)(k):=\sum_{m=0}^k \left( \begin{array}{c} k m \end{array…
math.NT2013★ 2 cited
Sums of products involving power sums of integers
Jitender Singh
A sequence of rational numbers as a generalization of the sequence of Bernoulli numbers is introduced. Sums of products involving the terms of this generalized sequence are then ob…