✦ LIBER ✦

Cameron-Erdős Modulo a Prime

✍ Scribed by Vsevolod F Lev; Tomasz Schoen

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 315 KB
Volume: 8
Category: Article
ISSN: 1071-5797
DOI: 10.1006/ffta.2001.0330

No coin nor oath required. For personal study only.

✦ Synopsis

We prove that for p prime and su$ciently large, the number of subset of 9 N free of solutions of the equation x#y"z (that is, free of Schur triples) satis"es

]"42N\CN, where and are positive absolute constants.

📜 SIMILAR VOLUMES

A Binomial Coefficient Congruence Modulo

A Binomial Coefficient Congruence Modulo Prime Powers

✍ K. Davis; W. Webb 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 94 KB

AND WilLiam WebB Department of Mathematics, Washington State Unicersity, Pullman, Washington 99164-3113 Communicated hy Hans Zassenhaus

Roots of Polynomials Modulo Prime Powers

✍ Bruce Dearden; Jerry Metzger 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 202 KB

In general , not every set of values modulo n will be the set of roots modulo n of some polynomial . In this note , some characteristics of those sets which are root sets modulo a prime power are developed , and these characteristics are used to determine the number of dif ferent sets of integers wh

On a Problem of Erdős

✍ Csaba Sándor 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 236 KB

Theorem 1. For every n 2 there exist integers 1<a 1 <a 2 < } } } <a s such that s i=1 1Âa i <n and this sum cannot be split into n parts so that all partial sums are 1.

A titokzatos erdő

✍ Margit Sandemo 📂 Fiction 📅 2008 🏛 Tuan Könyvkiadó 🌐 Hungarian ⚖ 125 KB 👁 1 views

A titokzatos erdő a Varázsjelek című sorozat első kötete, Margit Sandemo, a Jéghegyek népe saga szerzőjének legújabb alkotása. A kötetek Iliána, a kedves fi atal lány életét kísérik nyomon, aki számára kiválasztottként nem mindennapi megpróbáltatásokat tartogat a sors. Vagy talán valaki más titkos t

On an Inequality of Erdős and Turán Conc

On an Inequality of Erdős and Turán Concerning Uniform Distribution Modulo One, II

✍ I.Z. Ruzsa 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 126 KB

A famous inequality of Erdös and Turán estimates the discrepancy $\Delta$ of a finite sequence of real numbers by the quantity $B=\min _{K} K^{-1}+\sum_{k=1}^{K-1}\left|\alpha_{k}\right| / k$, where the $\alpha_{k}$ are the Fourier coefficients. We investigate how bad this estimate can be. We

Root Sets of Polynomials Modulo Prime Po

Root Sets of Polynomials Modulo Prime Powers

✍ Davesh Maulik 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 194 KB

A subset R of the integers modulo n is defined to be a root set if it is the set of roots of some polynomial. Using the Chinese Remainder Theorem, the question of finding and counting root sets mod n is reduced to finding root sets modulo a prime power. In this paper, we provide a recursive construc