The Critical Strips of the Sums 1+2(z) + ... + n(z)

作者：Mora G; Sepulcre J M^*

来源：Abstract and Applied Analysis, 2011, 909674.

DOI：10.1155/2011/909674

We give a partition of the critical strip, associated with each partial sum 1 + 2(z) + ... + n(z) of the Riemann zeta function for Re z < -1, formed by infinitely many rectangles for which a formula allows us to count the number of its zeros inside each of them with an error, at most, of two zeros. A generalization of this formula is also given to a large class of almost-periodic functions with bounded spectrum.

• 出版日期2011