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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Giuseppe Melfi ： ウィキペディア英語版 Giuseppe Melfi Giuseppe Melfi (born June 11, 1967) is an Italo-Swiss mathematician. He achieved his PhD in mathematics in 1997 at the University of Pisa. After some years spent at the University of Lausanne, he works now at the University of Neuchâtel, as well as at the University of Applied Sciences Western Switzerland and at the local University of Teacher Education. ==His work== His major contributions are in the theory of practical numbers. This prime-like sequence of numbers is known for having an asymptotic behavior and other distribution properties similar to the sequence of primes. Melfi proved two conjectures both raised in 1984 one of which is the corresponding of the Goldbach conjecture for practical numbers: every even number is a sum of two practical numbers. He also proved that there exist infinitely many triples of practical numbers of the form $m-2,m,m+2$. Another notable contribution has been in an application of the theory of modular forms, where he found new Ramanujan-type identities for the sum-of-divisor functions. In particular he found the remarkable identity :$\backslash sum\_^n\backslash sigma\_1(3k+1)\backslash sigma\_1(3n-3k+1)=\backslash frac19\backslash sigma\_3(3n+2),$ where $\backslash sigma\_k(n)$ is the sum of the $k$-th powers of divisors of $n$. In a joint work with Erdős and Deshouillers he proved the existence of sum-free sequences having a polynomial growing: so he has an Erdős number = 1 being one of the 511 direct collaborators to the Hungarian mathematician disappeared in 1996.〔(Erdős Number Project, list of 511 direct collaborators with Erdős Number=1 )〕 Among other problems in elementary number theory, he is the author of a theorem that allowed him getting a 5328-digit number that is at present the largest known primitive weird number. In applied mathematics his research interests include probability and simulation. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Giuseppe Melfi」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.