2006国际数学家大会一小时邀请报告摘要简介之四

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2006国际数学家大会一小时邀请报告摘要简介之四

素数
（转自2006年国际数学家大会官方网站）
Plenary lecture: Henryk Iwaniec
Numbers in prime-time
2, 3, 5, 7, 11, 13 Prime numbers: only divisible by themselves and by one. Maybe one of the few mathematical definitions that students can repeat in a sing-along fashion by the end of secondary school. Henryk Iwaniec will speak about these numbers, which constitute one of the most essential mathematical elements, in his lecture "rime Numbers and L-functions". “My talk,” assures Iwaniec, “can easily be understood by all those who love numbers”.
However, his words should not be misunderstood. Iwaniec';s lecture will not deal with peripheral mathematical topics; on the contrary, as he himself says, “prime numbers are at the very heart of arithmetic". Some of the most fundamental problems in Number Theory are related to prime numbers. One example is the search for the zeros of the zeta function, which is the object of study of Riemann';s hypothesis, a problem still awaiting proof and considered by many to be the most important open questions in mathematics..
Henryk Iwaniec will also deal with L-functions, a generalization of Riemann';s zeta function in prime ideals; not a new ideology but a mathematical term referring to the subset of a ring that fulfils a series of properties, some of them shared by prime numbers.
In his talk, Iwaniec will speak about new and old results used in mathematical proofs and techniques, and he will try to convince the audience that "there is indeed a healthy life beyond Riemann';s hypothesis".
Henryk Iwaniec was born in Elblag (Poland) in 1947. In 1971 he graduated in mathematics in Warsaw University, and obtained his PhD the following year. He has been teaching at Rutgers';s University, New Jersey, since 1989. Iwaniec has received several prizes, the last one, in 1973, being the Cole Prize in Numbers Theory awarded by the American Mathematical Society. He has given lectures in several international congresses of mathematics and has more than one hundred publications to his credit.
Speaker: Henryk Iwaniec
Title: “Prime Numbers and L-functions”
Date: Thursday, August 24th. 10:15 -11:15
ICM2006 Scientific Programme: http://www.icm2006.org/scientificprogram/plenarylectures/
On Riemann';s Hypothesis:
http://mathworld.wolfram.com/RiemannHypothesis.html
http://www.claymath.org/millennium/Riemann_Hypothesis/