1. Vojtech Jarnik Vojtech Jarnik http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

2. Vojtech Jarnik Annual International Mathematical Competition The Vojtech Jarnik Mathematical Competition is held at the University of Ostrava every year in March or April. The competition is intended for http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

3. Vojtech Jarnik Vojtech Jarnik. Obituary. This is reproduced, with permission, from Acta Arithmetica20 (1972) 107115. Photo 107 108 109 110 111 112 113 114 115 http://www.numbertheory.org/obituaries/AA/jarnik/

Vojtech Jarnik Obituary This is reproduced, with permission, from Acta Arithmetica 20 (1972) 107-115 Photo Back to some biographies of past contributors to number theory (Vancouver Site) Last updated 18th June 2003

4. The List Of The Vojtech Jarnik Annual International Mathematical The list of the Vojtech Jarn k Annual International Mathematical Competitions http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

5. The Problems Of Category II Of The 14th Vojtech Jarnik Mathematical format to the source file http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

6. The Results Of Category I Of The 9th Vojtech Jarnik Mathematical The results of Category I of the 9th Annual Vojtech Jarn k International Mathematical Competition http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

7. AoPS View Forum - Vojtech Jarnik Int'l Math Contest The time now is Mon Jan 10, 2005 1049 am English version Vojtech Jarnik Int'l Math Contest Change the language View posts since last visit View http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

8. AoPS Math Forum View Topic - Vojtech Jarnik 6th April 2005 Font Size The time now is Thu Feb 10, 2005 231 am All times are GMT 8 Hours Vojtech Jarnik 6th April 2005 Mark the topic unread http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

9. AoPS Math Forum View Forum - Vojtech Jarnik Int'l Math Contest Topics Author Replies Views Last Post Vojtech Jarnik 6th April 2005 * Moubinool 2 234 Fri Jan 28, 2005 701 pm Valentin Vornicu http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

10. MATHEMATICA BOHEMICA, Vol. 123, No. 2, Pp. 219-221, 1998 In Memoriam Prof. Vojtech Jarnik (22. 12. 1897 22. 9. 1970) http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

11. :: DIVOJ :: Vojtìch Jarník :: Vojtech Jarnik :: Vojtech Jarník (22. prosince 1897 22. zárí 1970) se narodil v Praze, Another area of number theory which interested Jarnik was Diophantine http://martini.cz/divoj/jarnik.php

Vojtìch Jarník (22. prosince 1897 - 22. záøí 1970) se narodil v Praze, kde také absolvoval na Univerzitì Karlovì. Po absolutoriu nastoupil na Univerzitì jako asistent. V letech 1923-1927 a 1927-1928 hostoval na Göttingenské univerzitì jako spolupracovník Edmunda Georga Hermanna Landaua Jarník byl jmenován šéfem matematické sekce UK roku 1928. Tento post si udržel až do roku 1968, kdy odešel do dùchodu. V roce 1952 se na jeho popud vyèlenila matematicko-fyzikální fakulta z fakulty pøírodovìdecké, takže jej bezesporu mùžeme považovat za zakladatele MFF. Øada dnešních trendù ve vìdeckém výzkumu i ve výuce navazuje na dílo profesora Jarníka, mimo jiné je i autorem dodnes užívaných uèebnic matematické analýzy. následující text existuje pouze v anglické verzi The main topic of Jarnik's research was number theory. One of the problems which he worked on extensively was related to the Gauss circle problem. Let R r ) denote the number of points ( m n ) with m n Z contained in a circle centre O , radius r . There exists a constant C and a number k with R r p r Cr k Let d be the minimal value of k.

12. MathLinks Math Forum View Forum - Vojtech Jarnik Int'l Math Topics Author Replies Views Last Post Vojtech Jarnik 6th April 2005 * Moubinool 2 230 Fri Jan 28, 2005 701 pm Valentin Vornicu http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

13. MATEMATIA Stanislaw Saks Stanislaw Saks. Stefan Mazurkiewicz Stefan Mazurkiewicz.Vojtech jarnik vojtech Jarnik. Zygmunt Janiszewsii Zygmunt Janiszewski. JurijVega http://www.galaktia.com/matematia/

Izdatel: Leszek Gralewski MATEMATJU GAZET www.w3.org/Amaya www.w3.org/Math Mezxunarodju matematju gazet. Matematia dla profesju matematnikis. Anatoli Samoilenko Helena Rasiowa Oleksandr Sharkovskij Sergi Novikov Sofia A. Janovskaja Sofia Kovalevskaja Boris Bukreev Terminologia: matematnik: matematju nauknik (muzx ili zxen) matematnic: matematnik (muzx) matematnica: matematnik (zxen) Aleksandr Fridman Aleksandr Liapunov Aleksander Ostrowski Alfred Tarski Andrei Markov Andrej Kolomogrov Andrzej Mostowski Antoni Zygmund Kurt Godel Otton Nikodym Sergei Cxernikov Stanislaw Ulam Tadeusz Banachiewicz Wladyslaw Orlicz Dimiti Egorov Evgeni Dinkin Herman Minkovski Hugo Steinhaus Ivan Vinogradov Jakub Bronowski Jan Lukasiewicz Jaroslav Hajek Lev Kaluznin Pafnuci Cxebisxev Stanislaw Lesniewski Stanislaw Zaremba Viktor Buniakovski Waclaw Sierpinski Jerzy Splawa-Neyman Johann Radon Jozef Hene-Wronski Jozef Marcinkiewicz Julian Sokhotsky Juri Sokolov Karol Borsuk Kazimierz Kuratowski Lev Landau Roman Sikorski Stanislaw Mazur Stefan Banach Vladimir Smirnov Witold Hurewicz Lev Pontriagin Marek Kac Marian Rejewski Mikhail Ostrogradski Nicolai Bugaev Nikolai Lobacxevski Nikolai Cxebotariov Nikolai Luzin

14. BAZAR Knih - Poptávka Kofron Jaroslav Koch Jaroslav Lugs Jaroslav Vácha Jelínek http://www.jcsoft.cz/bazar/poptavka.asp?typ=encykl&sm=autorknihy&jmeno=Jarnik Vo

15. Vojtech Jarnik Annual International Mathematical Competition Held at the University of Ostrava every year in March or April, open to university students. Site includes contest rules, results, and past problems and solutions. http://prf.osu.cz/kma/dokumenty/vjaimc/vjaimc.html

University of Ostrava every year in March or April. The competition is intended for university students who are interested in mathematics. See the list of the annual competitions the rules of the competition for further information. These pages are maintained by the Department of Mathematics of the Faculty of Science of the University of Ostrava

16. Jarnik Biography of vojtech jarnik (18971970) vojtech jarnik studied at the CharlesUniversity in Prague. After graduating he was appointed as an assistant at http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Jarnik.html

Vojtech Jarnik Born: 22 Dec 1897 in Prague, Bohemia (now Czech Republic) Died: 22 Sept 1970 in Prague, Czechoslovakia Click the picture above to see two larger pictures Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Version for printing Vojtech Jarnik Edmund Landau Landau Jarnik was appointed to a chair of mathematics at the Charles University of Prague in 1928. He held this post until he retired in 1968 having taught at the University for a total of 47 years. The main topic of Jarnik's research was number theory . One of the problems which he worked on extensively was related to the Gauss circle problem. Let R r ) denote the number of points ( m n ) with m n Z contained in a circle centre O , radius r . There exists a constant C and a number k with R r p r Cr k Let d be the minimal value of k. Gauss proved in 1837 that d Sierpinski improved the inequality to d Landau also made important contributions and in 1915 Hardy and Landau proved that d d Jarnik and Landau studied the same problem for curves and surfaces other than circles. Here one is interested in the difference between the number of lattice points within the closed surface and the volume enclosed by the surface. Jarnik showed that for certain closed curves the error term does have

17. References For Jarnik References for the biography of vojtech jarnik. B Novak and St Schwarz,vojtech jarnik (22.12.1897 22.9.1970), Acta Arithmetica 20 (1972), 107-115. http://www-groups.dcs.st-and.ac.uk/~history/References/Jarnik.html

References for Vojtech Jarnik Version for printing Articles: B Novak and St Schwarz, Vojtech Jarnik (22.12.1897 - 22.9.1970), Acta Arithmetica Main index Birthplace Maps Biographies Index History Topics ... Anniversaries for the year JOC/EFR November 1997 School of Mathematics and Statistics University of St Andrews, Scotland The URL of this page is: http://www-history.mcs.st-andrews.ac.uk/References/Jarnik.html

18. Photo Of Vojtech Jarnik Photo of vojtech jarnik. This is reproduced from Acta Arithmetica 9 (1964) 312MAIN MENU NEXT PAGE. Photo of vojtech jarnik. MAIN MENU NEXT PAGE http://www.numbertheory.org/obituaries/AA/jarnik/page0.html

Photo of Vojtech Jarnik This is reproduced from Acta Arithmetica 9 (1964) 3-12 MAIN MENU NEXT PAGE Photo of Vojtech Jarnik MAIN MENU NEXT PAGE Last updated at 6th November 2001

19. The List Of The Vojtech Jarnik Annual International Mathematical Competitions The list of the vojtech Jarník Annual International Mathematical Competitions.15th Annual Competition (2005) Second announcement see also http://prf.osu.cz/kma/dokumenty/vjaimc/j--list.html

15th Annual Competition (2005) Second announcement see also http://albert.osu.cz/oukip/rsk/ registration form: http://albert.osu.cz/~kma/j15reg/j15reg.html 14th Annual Competition (2004) Second announcement Useful information Last minute information Problems Category I Category II Results Category I Category II 13th Annual Competition (2003) Second announcement Useful information Problems Category I TeXt version Category II TeXt version ... PDF version Results Category I Category II 12th Annual Competition (2002) Second announcement Useful information Problems Category I TeXt version Category II TeXt version ... All proposed problems Results Category I Category II 11th Annual Competition (2001) Second announcement Problems Category I TeXt version Category II TeXt version Results Category I Category II 10th Annual Competition (2000) Problems Category I TeXt version Category II TeXt version Results Category I Category II 9th Annual Competition (1999) Second announcement Czech version Problems Category I TeXt version Category II TeXt version Results Category I Category II 8th Annual Competition (1998) Second announcement Czech version Problems Category I TeXt version Category II TeXt version Results Category I Category II 7th Annual Competition (1997) Second announcement Problems Category I TeXt version Category II TeXt version ... Solutions to the problems Results Category I Category II 6th Annual Competition (1996) 5th Annual Competition (1995) 4th Annual Competition (1994) 3rd Annual Competition (1993) 2nd Annual Competition (1992) 1st Annual Competition (1991) [back]

20. AoPS Math Forum :: View Forum - Vojtech Jarnik Int'l Math Contest No new posts, inequality from jarnik 2001 vojtech jarnik 2001, cat. I, problem 3,Valentin Vornicu, 3, 935, Sun Jul 24, 2005 1223 pm http://www.artofproblemsolving.com/Forum/forum-84.html

AoPS Subject Classes Math Jam Wednesday, Sept 7 at 7:30 PM ET AoPS instructors will discuss and work a problem from each of the Introduction to Number Theory and Click here for the complete Math Jam schedule Font Size: The time now is Fri Sep 02, 2005 8:57 pm English version Vojtech Jarnik Int'l Math Contest Change the language View posts since last visit ... View unanswered posts Board Announcements Author Replies Views Last Post Year 17 Round 1 Problems of the USAMTS now available USA Mathematical Talent Search rrusczyk Mon Aug 29, 2005 1:12 pm DPatrick Math Forum College Playground Contests for Undergraduates ... Vojtech Jarnik Int'l Math Contest Moderators: fedja Kent Merryfield Moubinool Page of [5 Topics] Topics Author Replies Views Last Post inequality from jarnik 2001 vojtech jarnik 2001, cat. I, problem 3 Valentin Vornicu Sun Jul 24, 2005 12:23 pm cezar lupu Vojtech Jarnik 6th April 2005 Moubinool Mon May 30, 2005 8:53 am cezar lupu Jarnik 2004 Valentin Vornicu Tue Jun 29, 2004 3:45 am qw covering 3-dimention sam-n Sat Mar 06, 2004 7:43 am

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