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math.NT2015★ 11 cited
Character analogues of certain Hardy-Berndt sums
Mümün Can, Veli Kurt
In this paper we consider transformation formulas for \[ B\left( z,s:χ\right) =\sum\limits_{m=1}^{\infty}\sum\limits_{n=0} ^{\infty}χ(m)χ(2n+1)\left( 2n+1\right) ^{s-1}e^{πim(2n+1)…
math.NT2015★ 6 cited
Periodic analogues of Dedekind sums and transformation formulas of Eisenstein series
M. Cihat Dağlı, Mümün Can
In this paper, a transformation formula under modular substitutions is derived for a large class of generalized Eisenstein series. Appearing in the transformation formulae are gene…