The Riemann Zeta Function

By P. Bateman, H. Diamond. 2004

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The Riemann hypothesis for certain integrals of Eisenstein series (解析的整数論とその周辺研究集会報告集) (2004, neutral): “His work was published posthumously [21].”
On sums of Fourier coefficients of cusp forms (2003, background): “n≤x t(2)j(n) = 12x π(2)αj +Oε(x R(x)) with (3) R(x) := κ 1 2−2α j x 1 2 +min ( κ 1+10α 3+6α j x 1 2 + x 3+6α 5 , κ−1 j x 1+2α ) .”
Bounding ζ(s) in the critical strip (2010, background): “With a refined calculation we can find the constant term when α = 1 and obtain Littlewood’s result [9] and [10] for bounds at Re(s) = 1.”
Joint universality for sums and products of Dirichlet L-functions (2006, background): “We give only a sketch of the proof since the argument is in principal well-known (for more details see, e.g., Karatsuba and Voronin [11] or Laurinčikas [12]).”