Conjugacy problem: Difference between revisions

Revision as of 17:00, 25 January 2014

Template:Infobox scientist Arnold Walfisz (2 July 1892 – 29 May 1962) was a Polish mathematician working in analytic number theory.

Life

After the Abitur in Warsaw Arnold Walfisz studied (1909−14 and 1918−21) in Munich, Berlin, Heidelberg and Göttingen. Edmund Landau was his doctoral thesis supervisor at the University of Göttingen. Walfisz lived in Wiesbaden from 1922 through 1927, then he returned to Warsaw, worked at an insurance company and at the mathematical institute of the university (habilitation in 1930). In 1935, together with Salomon Lubelski, he founded the mathematical journal Acta Arithmetica. In 1936 Walfisz became professor at the University of Tbilisi in Georgia. He wrote approximately 100 mathematical articles and three books.

Work

By using a theorem by Carl Ludwig Siegel providing an upper bound for the real zeros (see Siegel zero) of Dirichlet L-functions formed with real non-principal characters, Walfisz obtained the Siegel-Walfisz theorem, from which the prime number theorem for arithmetic progressions can be deduced.

By using estimates on exponential sums due to I. M. Vinogradov and N. M. Korobov, Walfisz obtained the currently best O-estimates for the remainder terms of the summatory functions of both the sum-of-divisors function $σ$ and the Euler function $ϕ$ (in: "Weylsche Exponentialsummen in der neueren Zahlentheorie", see below).

Works

Pell's equation (in Russian), Tbilisi, 1952
Gitterpunkte in mehrdimensionalen Kugeln, Panstwowe Wydawnictwo Naukowe, Monografi Matematyczne, vol. 33. Warszawa, 1957, online^[1]
Weylsche Exponentialsummen in der neueren Zahlentheorie, VEB Deutscher Verlag der Wissenschaften, Berlin, 1963

References

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External links

Short biography and list of works
Biography from Acta Arithmetica, 1964
Description of his work from Acta Arithmetica, 1964
50 yr old Print Journalist Broadbent from Deep River, has hobbies and interests which includes r/c helicopters, property developers in singapore house for rent and scrabble. Suggests that you go to Tomb of Askia.

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A vendor's stamp duty has been launched on industrial property for the primary time, at rates ranging from 5 per cent to 15 per cent. The Authorities might be trying to reassure the market that they aren't in opposition to foreigners and PRs investing in Singapore's property market. They imposed these measures because of extenuating components available in the market." The sale of new dual-key EC models will even be restricted to multi-generational households only. The models have two separate entrances, permitting grandparents, for example, to dwell separately. The vendor's stamp obligation takes effect right this moment and applies to industrial property and plots which might be offered inside three years of the date of buy. JLL named Best Performing Property Brand for second year running

The data offered is for normal info purposes only and isn't supposed to be personalised investment or monetary advice. Motley Fool Singapore contributor Stanley Lim would not personal shares in any corporations talked about. Singapore private home costs increased by 1.eight% within the fourth quarter of 2012, up from 0.6% within the earlier quarter. Resale prices of government-built HDB residences which are usually bought by Singaporeans, elevated by 2.5%, quarter on quarter, the quickest acquire in five quarters. And industrial property, prices are actually double the levels of three years ago. No withholding tax in the event you sell your property. All your local information regarding vital HDB policies, condominium launches, land growth, commercial property and more

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Discover out more about real estate funding in the area, together with info on international funding incentives and property possession. Many Singaporeans have been investing in property across the causeway in recent years, attracted by comparatively low prices. However, those who need to exit their investments quickly are likely to face significant challenges when trying to sell their property – and could finally be stuck with a property they can't sell. Career improvement programmes, in-house valuation, auctions and administrative help, venture advertising and marketing, skilled talks and traisning are continuously planned for the sales associates to help them obtain better outcomes for his or her shoppers while at Knight Frank Singapore. No change Present Rules

Extending the tax exemption would help. The exemption, which may be as a lot as $2 million per family, covers individuals who negotiate a principal reduction on their existing mortgage, sell their house short (i.e., for lower than the excellent loans), or take part in a foreclosure course of. An extension of theexemption would seem like a common-sense means to assist stabilize the housing market, but the political turmoil around the fiscal-cliff negotiations means widespread sense could not win out. Home Minority Chief Nancy Pelosi (D-Calif.) believes that the mortgage relief provision will be on the table during the grand-cut price talks, in response to communications director Nadeam Elshami. Buying or promoting of blue mild bulbs is unlawful.

A vendor's stamp duty has been launched on industrial property for the primary time, at rates ranging from 5 per cent to 15 per cent. The Authorities might be trying to reassure the market that they aren't in opposition to foreigners and PRs investing in Singapore's property market. They imposed these measures because of extenuating components available in the market." The sale of new dual-key EC models will even be restricted to multi-generational households only. The models have two separate entrances, permitting grandparents, for example, to dwell separately. The vendor's stamp obligation takes effect right this moment and applies to industrial property and plots which might be offered inside three years of the date of buy. JLL named Best Performing Property Brand for second year running

The data offered is for normal info purposes only and isn't supposed to be personalised investment or monetary advice. Motley Fool Singapore contributor Stanley Lim would not personal shares in any corporations talked about. Singapore private home costs increased by 1.eight% within the fourth quarter of 2012, up from 0.6% within the earlier quarter. Resale prices of government-built HDB residences which are usually bought by Singaporeans, elevated by 2.5%, quarter on quarter, the quickest acquire in five quarters. And industrial property, prices are actually double the levels of three years ago. No withholding tax in the event you sell your property. All your local information regarding vital HDB policies, condominium launches, land growth, commercial property and more

There are various methods to go about discovering the precise property. Some local newspapers (together with the Straits Instances ) have categorised property sections and many local property brokers have websites. Now there are some specifics to consider when buying a 'new launch' rental. Intended use of the unit Every sale begins with 10 p.c low cost for finish of season sale; changes to 20 % discount storewide; follows by additional reduction of fiftyand ends with last discount of 70 % or extra. Typically there is even a warehouse sale or transferring out sale with huge mark-down of costs for stock clearance. Deborah Regulation from Expat Realtor shares her property market update, plus prime rental residences and houses at the moment available to lease Esparina EC @ Sengkang

[1]

@@ Line 1: / Line 1: @@
-Myrtle Benny is how I'm called and I really feel comfy when people use the full title. Supervising is my occupation. Puerto Rico is where he and his spouse live. One of the issues she enjoys most is to study comics and she'll be beginning something else alongside with it.<br><br>my website [http://www.dev.adaptationlearning.net/solid-advice-regards-yeast-infection std home test]
+{{Infobox scientist
+| name              = Arnold Walfisz
+| image             = Walfisz,Arnold 1920 Göttingen.jpg
+| image_size        =
+| caption           = 1920 at Göttingen
+| birth_date        = {{birth date|1892|07|02|df=y}}
+| birth_place       = [[Warsaw]], [[Congress Poland]], [[Russian Empire]]
+| death_date        = {{death date and age|1962|05|29|1892|07|02|df=y}}
+| death_place       = [[Tbilisi]], [[Georgian Soviet Socialist Republic|Georgia]], [[Soviet Union]]
+| nationality       = {{flag|Poland}}
+| fields            = [[Mathematics]]
+| workplaces        = [[Tbilisi State University]]
+| alma_mater        = [[University of Göttingen]]
+| doctoral_advisor  = [[Edmund Landau]]
+| doctoral_students = [[Roza Gongadze]]<br>[[Georgiy Lomadze]]<br>[[Aleksandr Lursmanishvili]]
+| known_for         = [[Siegel–Walfisz theorem]]
+| awards            =
+}}
+'''Arnold Walfisz''' (2 July 1892 – 29 May 1962) was a [[Poles|Polish]] [[mathematician]] working in [[analytic number theory]].
+== Life ==
+After the ''[[Abitur]]'' in Warsaw Arnold Walfisz studied (1909−14 and 1918−21) in [[Munich]], [[Berlin]], [[Heidelberg]] and [[Göttingen]]. [[Edmund Landau]] was his doctoral thesis supervisor at the [[University of Göttingen]]. Walfisz lived in [[Wiesbaden]] from 1922 through 1927, then he returned to Warsaw, worked at an insurance company and at the mathematical institute of the university ([[habilitation]] in 1930). In 1935, together with [[Salomon Lubelski]], he founded the mathematical journal [[Acta Arithmetica]]. In 1936 Walfisz became professor at the [[Tbilisi State University|University of Tbilisi]] in [[Georgia (country)|Georgia]]. He wrote approximately 100 mathematical articles and three books.
+== Work ==
+By using a theorem by [[Carl Ludwig Siegel]] providing an upper bound for the real zeros (see [[Siegel zero]]) of [[Dirichlet L-function]]s formed with real non-principal characters, Walfisz obtained the [[Siegel-Walfisz theorem]], from which the [[Prime number theorem#Prime number theorem for arithmetic progressions|prime number theorem for arithmetic progressions]] can be deduced.
+By using estimates on exponential sums due to [[Ivan Matveyevich Vinogradov|I. M. Vinogradov]] and [[N. M. Korobov]], Walfisz obtained the currently best [[Big O notation|O-estimates]] for the remainder terms of the summatory functions of both the sum-of-divisors function <math>\sigma</math> and the Euler function <math>\phi</math> (in: "Weylsche Exponentialsummen in der neueren Zahlentheorie", see below).
+==Works==
+*''Pell's equation'' (in Russian), Tbilisi, 1952
+*''Gitterpunkte in mehrdimensionalen Kugeln'', Panstwowe Wydawnictwo Naukowe, Monografi Matematyczne, vol. 33. Warszawa, 1957, [http://matwbn.icm.edu.pl/kstresc.php?tom=33&wyd=10 online]<ref>{{cite journal|author=Chowla, S.|title=Review: A. Walfisz, ''Gitterpunkte in mehrdimensionalen Kugeln''|journal=Bull. Amer. Math. Soc.|year=1959|volume=1959|volume=65|issue=1|pages=23–25|url=http://projecteuclid.org/euclid.bams/1183523000}}</ref>
+*''Weylsche Exponentialsummen in der neueren Zahlentheorie'', VEB Deutscher Verlag der Wissenschaften, Berlin, 1963
+==References==
+{{reflist}}
+== External links ==
+*[http://www.rmi.ge/person/walfisz/ Short biography and list of works]
+*[http://matwbn.icm.edu.pl/ksiazki/aa/aa10/aa10110.pdf Biography from ''Acta Arithmetica'', 1964]
+*[http://matwbn.icm.edu.pl/ksiazki/aa/aa10/aa10111.pdf Description of his work from ''Acta Arithmetica'', 1964]
+*{{MathGenealogy |id=65517 }}
+{{Authority control|VIAF=3255823}}
+{{Persondata <!-- Metadata: see [[Wikipedia:Persondata]]. -->
+| NAME              = Walfisz, Arnold
+| ALTERNATIVE NAMES =
+| SHORT DESCRIPTION = Polish mathematician
+| DATE OF BIRTH     = 2 July 1892
+| PLACE OF BIRTH    = [[Warsaw]], [[Congress Poland]], [[Russian Empire]]
+| DATE OF DEATH     = 29 May 1962
+| PLACE OF DEATH    = [[Tbilisi]], [[Georgian Soviet Socialist Republic|Georgia]], [[Soviet Union]]
+}}
+{{DEFAULTSORT:Walfisz, Arnold}}
+[[Category:1892 births]]
+[[Category:1962 deaths]]
+[[Category:Number theorists]]
+[[Category:Polish mathematicians]]
+[[Category:People from Warsaw]]

Conjugacy problem: Difference between revisions

Revision as of 17:00, 25 January 2014

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Works

References

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Conjugacy problem: Difference between revisions

Revision as of 17:00, 25 January 2014

Life

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Works

References

External links

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