A. Sankaranarayanan

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20222026

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math.NT2026

On the counting function of square-full numbers

Ayyadurai Sankaranarayanan, P. Akhilesh

We study the distribution of square-full numbers under the assumptions of Riemann hypothesis and that the zeros of $ζ (s)$ are simple. Thus the error term is improved to a considera…

math.NT2026

On the discrete mean square of certain hybrid sum involving $a_{K} (n)$

Ekta Soni, M. S. Datt, A. Sankaranarayanan

Let $K$ be a non-normal algebraic number field of cubic degree given by the polynomial $x^{3} + a x^{2} + b x + c$ of discriminant $D_{K} < 0$ . For sufficiently large $x$ ,…

On the counting function of square-full numbers

On the discrete mean square of certain hybrid sum involving aK​(n)

On the discrete mean square of certain hybrid sum involving $a_{K} (n)$