Conjugacy problem - Revision history

en>Gilesgardam: correct statement about conjugacy problem for one-relator groups

2014-09-16T11:08:50Z

correct statement about conjugacy problem for one-relator groups

← Older revision		Revision as of 13:08, 16 September 2014
Line 1:		Line 1:
	~~{{Infobox scientist~~		The author is [https://Www.Costcoauto.com/vpp/about.aspx called Araceli] Gulledge. The factor I adore most bottle tops collecting and now I have time to take on new things. My job is a production and distribution officer and [http://www.wikihow.com/Buy-an-Extended-Warranty-for-a-Car I'm performing] pretty good financially. [http://enjoythisworld.com/UserProfile/tabid/464/userId/33651/Default.aspx extended auto warranty] warranty Alabama is [http://jamsuham.net/xe/joinqna/670399 extended car warranty] auto warranty where he and his [http://Www.Popularmechanics.com/cars/how-to/repair/how-to-get-a-used-car-warranty-and-not-get-screwed-6654348 spouse live] car auto warranty warranty and he has every thing that he requirements there.<br><br>Here is my web site ... [http://www.Thehubermangroup.com/ActivityFeed/MyProfile/tabid/60/userId/24292/Default.aspx extended auto warranty]
	~~\| 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]~~]

en>Yecril: manifolds

2014-01-25T16:00:23Z

manifolds

← Older revision		Revision as of 18:00, 25 January 2014
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]]

en>Helpful Pixie Bot: ISBNs (Build KC)

2012-05-06T19:16:29Z

ISBNs (Build KC)

New page

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]

← Older revision		Revision as of 13:08, 16 September 2014
Line 1:		Line 1:
	~~{{Infobox scientist~~		The author is [https://Www.Costcoauto.com/vpp/about.aspx called Araceli] Gulledge. The factor I adore most bottle tops collecting and now I have time to take on new things. My job is a production and distribution officer and [http://www.wikihow.com/Buy-an-Extended-Warranty-for-a-Car I'm performing] pretty good financially. [http://enjoythisworld.com/UserProfile/tabid/464/userId/33651/Default.aspx extended auto warranty] warranty Alabama is [http://jamsuham.net/xe/joinqna/670399 extended car warranty] auto warranty where he and his [http://Www.Popularmechanics.com/cars/how-to/repair/how-to-get-a-used-car-warranty-and-not-get-screwed-6654348 spouse live] car auto warranty warranty and he has every thing that he requirements there.<br><br>Here is my web site ... [http://www.Thehubermangroup.com/ActivityFeed/MyProfile/tabid/60/userId/24292/Default.aspx extended auto warranty]
	~~\| 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]~~]