Forum for Science, Industry and Business

Sponsored by:     3M 
Search our Site:

 

Purdue mathematician claims proof for Riemann hypothesis

09.06.2004


A Purdue University mathematician claims to have proven the Riemann hypothesis, often dubbed the greatest unsolved problem in mathematics.



Louis De Branges de Bourcia, or de Branges (de BRONZH) as he prefers to be called, has posted a 23-page paper detailing his attempt at a proof on his university Web page. While mathematicians ordinarily announce their work at formal conferences or in scientific journals, the spirited competition to prove the hypothesis – which carries a $1 million prize for whomever accomplishes it first – has encouraged de Branges to announce his work as soon as it was completed.

"I invite other mathematicians to examine my efforts," said de Branges, who is the Edward C. Elliott Distinguished Professor of Mathematics in Purdue’s School of Science. "While I will eventually submit my proof for formal publication, due to the circumstances I felt it necessary to post the work on the Internet immediately."


The Riemann hypothesis is a highly complex theory about the nature of prime numbers – those numbers divisible only by 1 and themselves – that has stymied mathematicians since 1859. In that year, Bernhard Riemann published a conjecture about how prime numbers were distributed among other numbers. He labored over his own theory until his death in 1866, but was ultimately unable to prove it.

The problem attracted a cult following among mathematicians, but after nearly 150 years no one has ever definitively proven Riemann’s theory to be either true or false. Although a definitive solution would not have any immediate industrial application, in 2001 the Clay Mathematics Institute in Cambridge, Mass., offered a $1 million purse to whomever proves it first.

At least two books for popular audiences have appeared recently that describe the efforts of mathematicians to solve the puzzle. One of the books, Karl Sabbagh’s "Dr. Riemann’s Zeros," provides an extensive profile of de Branges and offers one of the mathematician’s earlier, incomplete attempts at a proof as an appendix.

De Branges is perhaps best known for solving another trenchant problem in mathematics, the Bieberbach conjecture, about 20 years ago. Since then, he has occupied himself to a large extent with the Riemann hypothesis and has attempted its proof several times. His latest efforts have neither been peer reviewed nor accepted for publication, but Leonard Lipshitz, head of Purdue’s mathematics department, said that de Branges’ claim should be taken seriously.

"De Branges’ work deserves attention from the mathematics community," he said. "It will obviously take time to verify his work, but I hope that anyone with the necessary background will read his paper so that a useful discussion of its merits can follow."

Chad Boutin | Purdue News
Further information:
http://news.uns.purdue.edu/UNS/html4ever/2004/040608.DeBranges.Riemann.html

More articles from Physics and Astronomy:

nachricht Witnessing turbulent motion in the atmosphere of a distant star
23.08.2017 | Max-Planck-Institut für Radioastronomie

nachricht Heating quantum matter: A novel view on topology
22.08.2017 | Université libre de Bruxelles

All articles from Physics and Astronomy >>>

The most recent press releases about innovation >>>

Die letzten 5 Focus-News des innovations-reports im Überblick:

Im Focus: Fizzy soda water could be key to clean manufacture of flat wonder material: Graphene

Whether you call it effervescent, fizzy, or sparkling, carbonated water is making a comeback as a beverage. Aside from quenching thirst, researchers at the University of Illinois at Urbana-Champaign have discovered a new use for these "bubbly" concoctions that will have major impact on the manufacturer of the world's thinnest, flattest, and one most useful materials -- graphene.

As graphene's popularity grows as an advanced "wonder" material, the speed and quality at which it can be manufactured will be paramount. With that in mind,...

Im Focus: Exotic quantum states made from light: Physicists create optical “wells” for a super-photon

Physicists at the University of Bonn have managed to create optical hollows and more complex patterns into which the light of a Bose-Einstein condensate flows. The creation of such highly low-loss structures for light is a prerequisite for complex light circuits, such as for quantum information processing for a new generation of computers. The researchers are now presenting their results in the journal Nature Photonics.

Light particles (photons) occur as tiny, indivisible portions. Many thousands of these light portions can be merged to form a single super-photon if they are...

Im Focus: Circular RNA linked to brain function

For the first time, scientists have shown that circular RNA is linked to brain function. When a RNA molecule called Cdr1as was deleted from the genome of mice, the animals had problems filtering out unnecessary information – like patients suffering from neuropsychiatric disorders.

While hundreds of circular RNAs (circRNAs) are abundant in mammalian brains, one big question has remained unanswered: What are they actually good for? In the...

Im Focus: RAVAN CubeSat measures Earth's outgoing energy

An experimental small satellite has successfully collected and delivered data on a key measurement for predicting changes in Earth's climate.

The Radiometer Assessment using Vertically Aligned Nanotubes (RAVAN) CubeSat was launched into low-Earth orbit on Nov. 11, 2016, in order to test new...

Im Focus: Scientists shine new light on the “other high temperature superconductor”

A study led by scientists of the Max Planck Institute for the Structure and Dynamics of Matter (MPSD) at the Center for Free-Electron Laser Science in Hamburg presents evidence of the coexistence of superconductivity and “charge-density-waves” in compounds of the poorly-studied family of bismuthates. This observation opens up new perspectives for a deeper understanding of the phenomenon of high-temperature superconductivity, a topic which is at the core of condensed matter research since more than 30 years. The paper by Nicoletti et al has been published in the PNAS.

Since the beginning of the 20th century, superconductivity had been observed in some metals at temperatures only a few degrees above the absolute zero (minus...

All Focus news of the innovation-report >>>

Anzeige

Anzeige

Event News

Call for Papers – ICNFT 2018, 5th International Conference on New Forming Technology

16.08.2017 | Event News

Sustainability is the business model of tomorrow

04.08.2017 | Event News

Clash of Realities 2017: Registration now open. International Conference at TH Köln

26.07.2017 | Event News

 
Latest News

Optimizing therapy planning for cancers of the liver

24.08.2017 | Medical Engineering

Icebergs: Mathematical model calculates the collapse of shelf ice

24.08.2017 | Earth Sciences

Improved monitoring of coral reefs with the HyperDiver

24.08.2017 | Earth Sciences

VideoLinks
B2B-VideoLinks
More VideoLinks >>>