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Download as PDF; Printable version ... Redirect page. Redirect to: Ramanujan–Petersson conjecture; ... Text is available under the Creative Commons Attribution ...
The more general Ramanujan–Petersson conjecture for holomorphic cusp forms in the theory of elliptic modular forms for congruence subgroups has a similar formulation, with exponent (k − 1)/2 where k is the weight of the form.
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.
Prof Bertram Martin Wilson FRSE (14 November 1896, London – 18 March 1935, Dundee, Scotland) was an English mathematician, remembered primarily as a co-editor, along with G. H. Hardy and P. V. Seshu Aiyar, of Srinivasa Ramanujan's Collected Papers. [1] [2] [3] (It seems probable that Wilson did not know about Ramanujan's lost notebook, which ...
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 ...
Some of these conjectures produced by the Ramanujan machine have subsequently been proved true. The others continue to remain as conjectures. The software was conceptualised and developed by a group of undergraduates of the Technion under the guidance of Ido Kaminer [ he ] , an electrical engineering faculty member of Technion.
The NYPD’s highest-paid employee — who shoveled in more than $400,000 last year — filed for retirement this week amid an internal affairs probe into her astronomical overtime, The Post has ...
At Purdue University he became in 1977 an assistant professor, in 1982 an associate professor, and 1986 a full professor. There he since 2001 is a Distinguished Professor. He returned to the Institute for Advanced Study in 1983–1984, in 1990–1991, in October–November 1999, and in several other brief visits.