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RIEMANN ZETA ZEROS AND PRIME NUMBER SPECTRA IN QUANTUM FIELD THEORY
(World Scientific Publ Co Pte Ltd, 2013-10-20)
The Riemann hypothesis states that all nontrivial zeros of the zeta function lie in the critical line Re(s) = 1/2. Hilbert and Polya suggested that one possible way to prove the Riemann hypothesis is to interpret the ...
RIEMANN ZETA ZEROS AND PRIME NUMBER SPECTRA IN QUANTUM FIELD THEORY
(World Scientific Publ Co Pte Ltd, 2014)
RIEMANN ZETA ZEROS AND PRIME NUMBER SPECTRA IN QUANTUM FIELD THEORY
(World Scientific Publ Co Pte Ltd, 2014)
ZETA DETERMINANT AND OPERATOR DETERMINANTS
(OSAKA JOURNAL OF MATHEMATICS, 2011)
We apply techniques of zeta functions and regularized products theory to study the zeta determinant of a class of abstract operators with compact resolvent, and in particular the relation with other spectral functions.
Discrepancies of products of zeta-regularized products
(International Press of Boston, Inc., 2012)
Zeta-regularized products Πmam are known not to commute with finite products, so one studies the discrepancy Fn given by exp(Fn) := {equation presented}. For a rather general class of products, associated to polynomials ...
DISCREPANCIES OF PRODUCTS OF ZETA-REGULARIZED PRODUCTS
(INT PRESS BOSTON, INC, 2012)
Zeta-regularized products (Pi) over cap (m) a(m) are known not to commute with finite products, so one studies the discrepancy F-n given by
Discrepancies of products of zeta-regularized products
(INT PRESS BOSTON, 2012)
Effective action for QED4 through ζ function regularization
(American Institute of Physics, 2001-08)
We obtain, through ζ function methods, the one-loop effective action for massive Dirac fields in the presence of a uniform, but otherwise general, electromagnetic background. After discussing renormalization, we compare ...