 About 7,380 results  books.google.com As n tends to infinity we may assume that p. tends to a value p, and we obviously
have the same inequality for every closed arc L on r = p that lies in G. This proves
our lemma, if we set h = a/2. In the same way the following modifications of the ... 

 books.google.com As n tends to infinity we may assume that p,, tends to a value p, and we obviously
have the same inequality for every closed are L on r = p that lies in G. This proves
our lemma, if we set h = 11/2. In the same way the following modifications of ... 

 books.google.com ... Ostse): * It is owing to the presence of this term that the series 2c,\,k' is not
necessarily summable (l, k) for any k less than k. f If \1=1, this is unnecessary. and
it follows at once from Lemma 7 and the FURTHER ARITHMETIC THEOREMS 35
. 

 books.google.com Theorem Dirichlet's Approximation Theorem Given any REAL NUMBER 0 and
any POSITIVE INTEGER N, there exist ... Dirichlet's Test 777 Dirichlet's Lemma 
1 A "d2", " 2 sin (#) 2 where the KERNEL is the DIRICHLET KERNEL. sin See
also ... 

 books.google.com Dirichlet's Approximation Lemma in IE\ M,d □ a M[Vd\ Q > 0 Poem, (Q+lf >q> Q Pi
/ 1 a  < — . q q2 Theorem 11. Vi(IE^) (fi d IEi h (Vd)(d =/= □ A WR(4>d, <, 3) > (
3x)(3y)(x > 1 A x2  dy2 = 1)), < Proof. The construction of (fid follows the ideas ... 

 books.google.com This result may be called Dirichlet's lemma, the conditions just stated being
referred to as ZHrichleCs conditions. We can now return to the expansion which
was found to represent the sum of the first (2m + 1) terms of the Fourier series.
We had ... 

 books.google.com Dirichlet's. Theorem. on. Primes. in. Arithmetic. Progressions. 7.1 Introduction 146
7.2 Dirichlet's theorem for primes of the form 4n – l and 4n. + 1 147 7.3 The plan
of the proof of Dirichlet's theorem 148 7.4 Proof of Lemma 7.4 150 7.5 Proof of ... 

 books.google.com 2006  No preview This dissertation addresses two problems in diophantine number theory: (1) an analogue of classical Dirichlet's Theorem in a projective general linear group over a local field and (2) a sharp bound on the conjugate products of successive ... 

 books.google.com A Abel's lemma, 93 Additive arithmetical function, 150 Aiyar, S.N., 2 Algebraic
geometry, 35 Andrews, G.E., 129, 145 Apéry ... 71 Dirichlet, L., 135 Dirichlet
divisor problem, 135 Dirichlet Lfunction, 68 Dirichlet's lemma, 89 Divisor
functions, 119, ... 

 books.google.com 2.2 Some Properties of Chvátal and Split Rank We will use the following result (
see [1, Lemma 10]) and its easy corollary. ... of K. 2.4 On Integer Points around
Linear Subspaces A result given in [4], based on Dirichlet's lemma (see, e.g., [21]
), ... 

 