Number Theory, Volume 1Kálmán Györy, Gábor Halász Containing contributions from leading mathematicians worldwide, this two-volume set gives a comprehensive picture of current research in Number Theory.The topics include:bull; elementary number theorybull; sequences of integersbull; additive and multiplicative number theorybull; exponential and character sumsbull; zeta and L-functionsbull; uniform distributionbull; diophantine approximationbull; geometry of numbersbull; transcendental numbersbull; polynomialsbull; finite fieldsbull; algebraic number theorybull; arithmetic algebraic geometrybull; computational number theory. |
Contents
Volume | 5 |
T A ELLIOTT Applications of elementary | 35 |
P ERDŐS and A IVIĆ The distribution of values | 45 |
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a₁ additive functions arithmetic functions Artin L-function asymptotic basis asymptotic formula b₁ basis of order Benford's law bound BUDAPEST BUDAPEST HUNGARY C₁ COLLOQUIA MATHEMATICA SOCIETATIS condition constant Corollary coset D₁ defined Dirichlet Dirichlet character Dirichlet series divisor equation Erdős estimate exists exponential sums finite h₁ Hence HUNGARY implies inequality integers interval Iwaniec JÁNOS BOLYAI JÁNOS BOLYAI 51 L-functions Lemma linear recurrence ln ln log log log Q M₁ M₂ Math MATHEMATICA SOCIETATIS JÁNOS minimal asymptotic basis mod q multiplicative functions n₁ NATHANSON nullpotent number of solutions NUMBER THEORY obtain order h partitions polynomial positive integers prime number prime number theorem problem PROOF OF THEOREM proved result Riemann Riemann zeta function S₁ satisfying sequence SOCIETATIS JÁNOS BOLYAI squarefree squarefull sufficiently large summand summation tion topology values zero Σ Σ