The burnside ring modulo a prime
نویسندگان
چکیده
منابع مشابه
Orders Modulo A Prime
In this article I develop the notion of the order of an element modulo n, and use it to prove the famous n 2 + 1 lemma as well as a generalization to arbitrary cyclotomic polynomials. References used in preparing this article are included in the last page. §1 Introduction I might as well state one of the main results of this article up front, so the following discussion seems a little more moti...
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We derive a conditional formula for the natural density E(q) of prime numbers p having its least prime primitive root equal to q, and compare theoretical results with the numerical evidence. 1. Theoretical result concerning the density of primes with a given least prime primitive root Let us denote, following Elliott and Murata [4], by g(p) and G(p) the least primitive and the least prime primi...
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Let p be a prime, and let f : Z/pZ → R be a function with Ef = 0 and ‖f̂‖1 6 1. Then min x∈Z/pZ |f(x)| = O(log p). One should think of f as being “approximately continuous”; our result is then an “approximate intermediate value theorem”. As an immediate consequence we show that if A ⊆ Z/pZ is a set of cardinality ⌊p/2⌋ then ∑ r |1̂A(r)| ≫ (log p). This gives a result on a “mod p” analogue of Litt...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1986
ISSN: 0021-8693
DOI: 10.1016/0021-8693(86)90053-0