The Critical Strips of the Sums | Zendy

G. Mora | Zendy; J. M. Sepulcre | Zendy

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The Critical Strips of the Sums

Author(s) -

G. Mora,

J. M. Sepulcre

Publication year - 2011

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2011/909674

Subject(s) - mathematics , partition (number theory) , bounded function , riemann zeta function , generalization , riemann hypothesis , class (philosophy) , spectrum (functional analysis) , pure mathematics , partition function (quantum field theory) , combinatorics , mathematical analysis , physics , quantum mechanics , artificial intelligence , computer science

We give a partition of the critical strip, associated with each partial sum 1+2+⋯+ of the Riemann zeta function for Re <−1, formed by infinitely many rectangles for which a formula allows usto 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 ofalmost-periodic functions with bounded spectrum

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