Elementary Methods in the Analytic Theory of Numbers |
Contents
AN ELEMENTARY SOLUTION OF WARINGS PROBLEM | 13 |
THE PROBLEM OF THE DISTRIBUTION OF PRIMES | 42 |
AN ELEMENTARY DERIVATION OF THE LAW OF DISTRI | 77 |
Copyright | |
12 other sections not shown
Common terms and phrases
a₁ algebraic arithmetic progression asymptotic formula B₁ C₁ congruence contour curve denote density divides exactly divisors elementary methods equation exceed function fundamental lemma Gaussian integers Gaussian primes given h₁ Hence In² inequality integral points integral-valued vectors interval left-hand side ln² modulo n<x d/n n<x n n=l(modD N₁ n1+it N₂ nonresidues number of numbers number of primes number of solutions O(ln O(R² obtain obviously P₁ Pn)² polynomial positive integers prove quadratic quadratic nonresidue quadratic residue relatively prime remainder term residues Riemann hypothesis right-hand side satisfied Schnirelmann Selberg sequence sufficiently large summation theorem theory of numbers upper bound values Viggo Brun Vinogradov Waring's problem whence it follows X₁ Xn+1 Xo(n Y₁ Σ Σ Σι