Strassmann's theorem

Strassmann's theorem

In mathematics, Strassman's theorem is a result in field theory. It states that, for suitable fields, suitable formal power series with coefficients in the valuation ring of the field have only finitely many zeroes.

tatement of the theorem

Let "K" be a field with a non-Archimedean absolute value | · | and let "R" be the valuation ring of "K". Let "f"("x") be a formal power series with coefficients in "R" other than the zero series, with coefficients "a""n" converging to zero with respect to | · |. Then "f"("x") has only finitely many zeroes in "R".

References

*cite book|last = Murty|first = M. Ram|authorlink = M. Ram Murty|title = Introduction to P-Adic Analytic Number Theory|publisher = American Mathematical Society|date = 2002|pages = 35|isbn = 978-0-8218-3262-2|url = http://books.google.com/books?id=xi3ueDVuO7sC

External links

*


Wikimedia Foundation. 2010.

Игры ⚽ Нужна курсовая?

Look at other dictionaries:

  • List of mathematics articles (S) — NOTOC S S duality S matrix S plane S transform S unit S.O.S. Mathematics SA subgroup Saccheri quadrilateral Sacks spiral Sacred geometry Saddle node bifurcation Saddle point Saddle surface Sadleirian Professor of Pure Mathematics Safe prime Safe… …   Wikipedia

  • p-adic exponential function — In mathematics, particularly p adic analysis, the p adic exponential function is a p adic analogue of the usual exponential function on the complex numbers. As in the complex case, it has an inverse function named the p adic logarithm. Contents 1 …   Wikipedia

  • Timeline of microphysics — Timeline of quantum mechanics, molecular physics, atomic physics, nuclear physics, and particle physics* 585 BC Buddha stated that there were indivisible particles of mind and matter which vibrated 3 trillion times in the blink of an eye which he …   Wikipedia

  • Carl Eckart — Carl Henry Eckart (May 4, 1902 in St. Louis, Missouri ndash; October 23, 1973 in La Jolla, California) was an American physicist, physical oceanographer, geophysicist, and administrator. He co developed the Wigner Eckart theorem and is also known …   Wikipedia

  • Chronologie de la physique microscopique — 440 À la suite de Leucippe, Démocrite discute de particules fondamentales indivisibles, qu il appelle « atomes ». Il fonde la théorie atomiste qui sera ensuite intégrée à l épicurisme. Les débuts de la chimie 1766 : Henry Cavendish …   Wikipédia en Français

Share the article and excerpts

Direct link
… Do a right-click on the link above
and select “Copy Link”