Yoshikatsu Yashiro

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20132017

most citedMertens' theorem and prime number theorem for Selberg class

4 citations · 7 across the 5 of their papers we have counts for

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math.NT2017

Approximate functional equation for the derivatives of functions in Selberg class

Yoshikatsu Yashiro

Let $F (s)$ be a function belonging to Selberg class. Chandrasekharan and Narasiman proved the approximate functional equation for $F (s)$ . In this paper, we shall generalize this fo…

math.NT2014★ 1 cited

Distribution of zeros and zero-density estimates for the derivatives of $L$ -functions attached to cusp forms

Yoshikatsu Yashiro

Let $f$ be a holomorphic cusp form of weight $k$ with respect to $S L_{2} (Z)$ which is a normalized Hecke eigenform, $L_{f} (s)$ the $L$ -function attached to the form $f$ . In th…

math.NT2014

Approximate functional equation and mean value formula for the derivatives of $L$ -functions attached to cusp forms

Yoshikatsu Yashiro

Let $f$ be a holomorphic cusp form of weight $k$ with respect to full modular group $S L_{2} (Z)$ satisfying a normalized Hecke eigenform, $L_{f} (s)$ the $L$ -function attached t…

math.NT2013★ 4 cited

Mertens' theorem and prime number theorem for Selberg class

Yoshikatsu Yashiro

In 1874, Mertens proved the approximate formula for partial Euler product for Riemann zeta function at $s = 1$ , which is called Mertens' theorem. In this paper, we generalize Mertens…

math.NT2013★ 2 cited

Zero-density estimates for L-functions attached to cusp forms

Yoshikatsu Yashiro

Let $S_{k}$ be the space of holomorphic cusp forms of weight $k$ with respect to $S L_{2} (Z)$ . Let $f \in S_{k}$ be a normalized Hecke eigenform, $L_{f} (s)$ the $L$ -function attach…

Approximate functional equation for the derivatives of functions in Selberg class

Distribution of zeros and zero-density estimates for the derivatives of L-functions attached to cusp forms

Approximate functional equation and mean value formula for the derivatives of L-functions attached to cusp forms

Mertens' theorem and prime number theorem for Selberg class

Zero-density estimates for L-functions attached to cusp forms

Distribution of zeros and zero-density estimates for the derivatives of $L$ -functions attached to cusp forms

Approximate functional equation and mean value formula for the derivatives of $L$ -functions attached to cusp forms