Journal of the Ramanujan Mathematical Society

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A Mean Value Theorem for the Approximate Functional Equation of ζ2(s) for Short Intervals


Affiliations
1 Department of Mathematics, Yamaguchi University, Yoshida 1677-1, Yamaguchi 753-8512, Japan
2 Graduate School of Mathematics, Nagoya University, Chikusa-ku, Nagoya 464-8602, Japan
     

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As usual, let ((s) be the Riemann zeta-function, d{n) the number of positive divisors of n, k and I co-prime integers with 1 ≤ I ≤ k, and r = l/k.
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  • A Mean Value Theorem for the Approximate Functional Equation of ζ2(s) for Short Intervals

Abstract Views: 321  |  PDF Views: 0

Authors

Isao Kiuchi
Department of Mathematics, Yamaguchi University, Yoshida 1677-1, Yamaguchi 753-8512, Japan
Yoshio Tanigawa
Graduate School of Mathematics, Nagoya University, Chikusa-ku, Nagoya 464-8602, Japan

Abstract


As usual, let ((s) be the Riemann zeta-function, d{n) the number of positive divisors of n, k and I co-prime integers with 1 ≤ I ≤ k, and r = l/k.