Search results
Results from the WOW.Com Content Network
Satake (1966) reformulated the Ramanujan–Petersson conjecture in terms of automorphic representations for GL(2) as saying that the local components of automorphic representations lie in the principal series, and suggested this condition as a generalization of the Ramanujan–Petersson conjecture to automorphic forms on other groups. Another ...
Download as PDF; Printable version ... Redirect page. Redirect to: Ramanujan–Petersson conjecture; ... Text is available under the Creative Commons Attribution ...
1974 Ramanujan conjecture and the Weil conjectures. While Deligne's final paper proving these conjectures were "only" about 30 pages long, it depended on background results in algebraic geometry and étale cohomology that Deligne estimated to be about 2000 pages long. 1974 4-color theorem. Appel and Haken's proof of this took 139 pages, and ...
Lafforgue's theorem implies the Ramanujan–Petersson conjecture that if an automorphic form for GL n (F) has central character of finite order, then the corresponding Hecke eigenvalues at every unramified place have absolute value 1.
2. Excessive Stress. Stress is a natural, normal part of the human experience, and your body knows how to handle it. When you’re under stress, your body releases stress hormones that activate ...
See Winnie Li's survey on Ramanujan's conjecture and other aspects of number theory relevant to these results. [ 5 ] Lubotzky , Phillips and Sarnak [ 2 ] and independently Margulis [ 6 ] showed how to construct an infinite family of ( p + 1 ) {\displaystyle (p+1)} -regular Ramanujan graphs, whenever p {\displaystyle p} is a prime number and p ...
In Klein’s case, a Postal Service spokeswoman said, the problem is the road. Hillman Ridge is paved but narrows to a width slightly larger than a pickup truck as it approaches Klein’s property.
Over the past month and a half, Bitcoin (CRYPTO: BTC) has dominated headlines. In a matter of weeks, the world's largest cryptocurrency surged nearly 50%, ultimately breaking through the $100,000 ...