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Equivalents of the Riemann Hypothesis: Volume 1, Arithmetic Equivalents (Hardcover)
Loot Price: R3,405
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Equivalents of the Riemann Hypothesis: Volume 1, Arithmetic Equivalents (Hardcover)
Series: Encyclopedia of Mathematics and its Applications
Expected to ship within 12 - 17 working days
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The Riemann hypothesis (RH) is perhaps the most important
outstanding problem in mathematics. This two-volume text presents
the main known equivalents to RH using analytic and computational
methods. The book is gentle on the reader with definitions
repeated, proofs split into logical sections, and graphical
descriptions of the relations between different results. It also
includes extensive tables, supplementary computational tools, and
open problems suitable for research. Accompanying software is free
to download. These books will interest mathematicians who wish to
update their knowledge, graduate and senior undergraduate students
seeking accessible research problems in number theory, and others
who want to explore and extend results computationally. Each volume
can be read independently. Volume 1 presents classical and modern
arithmetic equivalents to RH, with some analytic methods. Volume 2
covers equivalences with a strong analytic orientation, supported
by an extensive set of appendices containing fully developed
proofs.
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