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...[Riemann zeta function]]. It describes the multiplication of two Dirichlet series in terms of their coefficients: ...ments|denote this]] as <math>\zeta</math> because the associated Dirichlet series is the [[Riemann zeta function]].) ...

== Mathematical Properties == ...2–343 |doi=10.1007/3-540-68339-9_29 |publisher=Springer Berlin Heidelberg |series=Lecture Notes in Computer Science |isbn=978-3-540-61186-8 |doi-access=free ...

...iction stories often use different worlds. Frank Herbert's famous ''Dune'' series focused on a world called Arrakis that produces a rare chemical substance. ...science-fiction story will be involve multiple worlds. The ''Foundation'' series by Isaac Asimov was set in a galaxy with thousands of populated worlds. The ...

...ce, denoted <math>\widehat{F}(z)</math>, are defined by the [[formal power series]] ...[Dirichlet generating function]]s (DGFs), [[Lambert series]], and [[Newton series]]. In this article we focus on transformations of generating functions in m ...

Frank Herbert's famous ''Dune'' series focused on a world called Arrakis, which produced a very rare and very impo The ''Foundation'' series by Isaac Asimov was set in a galaxy with thousands of populated worlds. ...

The number '''{{pi}}''' is a [[mathematical constant]], the [[ratio]] of a [[circle]]'s [[circumference]] to its [[diam ...or3=Peter Borwein|author4=Simon Plouffe|title=The Quest for Pi|journal=The Mathematical Intelligencer|year=1997|volume=19|issue=1|pages=50–56|doi=10.1007/bf0302434 ...

...a Due Nuove Scienze", Leida: Appresso gli Elsevirii, 1638; "Discourses and Mathematical Demonstrations Concerning Two New Sciences", Leiden: Elsevier Press, 1638</ ...rnia: University of California Press, 1934; Newton, Isaac; "The Principia: Mathematical Principles of Natural Philosophy", translated by I. Bernard Cohen and Anne ...

...the [[Secure Hash Algorithm (disambiguation)|Secure Hash Algorithm]] (SHA) series, are very hard to reverse, so an attacker who gets hold of the hash value c ...attacks|9/11]])</sup>, 314159... ^([[pi]]), 27182... ^{([[E (mathematical constant)|e]])}, 112 <sup>([[112 (emergency telephone number)|1-1-2]]) ...