Ankush Goswami

activity

20122026

most citedQuantum modularity of partial theta series with periodic coefficients

13 citations · 17 across the 15 of their papers we have counts for

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Showing 2018Show all

3 papers · 1 filter

math.NT2018★ 1 cited

On a partial sum related to the Euler totient function

Ankush Goswami

Recently, Bordellés, Dai, Heyman, Pan and Shparlinski in \cite{Igor} considered a partial sum involving the Euler totient function and the integer parts $⌊ x / n ⌋$ functi…

math.NT2018

A $q$ -analogue for Euler's evaluations of the Riemann zeta function

Ankush Goswami

We provide a $q$ -analogue of Euler's formula for $ζ (2 k)$ for $k \in Z^{+}$ . Our main results are stated in Theorems 3.1 and 3.2 below. The result generalizes a recent result o…

math.NT2018

A $q$ -analogue for Euler's $ζ (6) = π^{6} /945$

Ankush Goswami

We give a $q$ -analogue of $ζ (6) = π^{6} /945$ . Our main results are stated in Theorems 2.1 and 2.2 below.

On a partial sum related to the Euler totient function

A q-analogue for Euler's evaluations of the Riemann zeta function

A q-analogue for Euler's ζ(6)=π6/945

A $q$ -analogue for Euler's evaluations of the Riemann zeta function

A $q$ -analogue for Euler's $ζ (6) = π^{6} /945$