Number theory (Q5918037)

The articles of this volume will be reviewed individually. Indexed articles: \textit{Apostol, Tom M.}, A centennial history of the prime number theorem, 1-14 [Zbl 0976.11039] \textit{Bambah, R. P.; Dumir, V. C.; Hans-Gill, R. J.}, Non-homogeneous problems: Conjectures of Minkowski and Watson, 15-41 [Zbl 0983.11041] \textit{Bateman, Paul T.; Diamond, Harold G.}, On the oscillation theorems of Pringsheim and Landau, 43-54 [Zbl 0964.11037] \textit{Berndt, Bruce C.}, Modular equations in Ramanujan's Lost Notebook, 55-74 [Zbl 0989.11021] \textit{Browkin, Jerzy}, The \(abc\)-conjecture, 75-105 [Zbl 0971.11010] \textit{Dani, S. G.}, On values of linear and quadratic forms at integral points, 107-119 [Zbl 0986.11044] \textit{Harman, Glyn}, Variants of the second Borel-Cantelli lemma and their applications in metric number theory, 121-140 [Zbl 0971.11044] \textit{Hlawka, Edmund}, Pythagorean triples, 141-155 [Zbl 0971.11014] \textit{Huxley, M. N.}, Integer points in plane regions and exponential sums, 157-166 [Zbl 0972.11095] \textit{Jensen, Erik; Murty, M. Ram}, Artin's conjecture for polynomials over finite fields, 167-181 [Zbl 0987.11074] \textit{Kátai, I.}, Continuous homomorphisms as arithmetical functions, and sets of uniqueness, 183-200 [Zbl 0987.11002] \textit{Knopp, Marvin I.}, Hamburger's theorem on \(\zeta(s)\) and the abundance principle for Dirichlet series with functional equations, 201-216 [Zbl 0972.11076] \textit{Koblitz, Neal}, A survey of number theory and cryptography, 217-239 [Zbl 0988.11058] \textit{Matsumoto, Kohji}, Recent developments in the mean square theory of the Riemann zeta and other zeta-functions, 241-286 [Zbl 0959.11036] \textit{Niederreiter, Harald; Xing, Chaoping}, Algebraic curves over finite fields with many rational points and their applications, 287-300 [Zbl 0986.11040] \textit{Prasad, Dipendra; Yogananda, C. S.}, A report on Artin's holomorphy conjecture, 301-314 [Zbl 0982.11063] \textit{Raghavan, S.}, Siegel's main theorem for quadratic forms, 315-324 [Zbl 0987.11028] \textit{Rajwade, A. R.}, Pfister's work on sums of squares, 325-349 [Zbl 0964.11022] \textit{Ramachandra, K.}, Notes on the prime number theorem. I, 351-370 [Zbl 0976.11040] \textit{Rankin, R. A.}, Sums of squares: An elementary method, 371-399 [Zbl 0966.11016] \textit{Ryshkov, S. S.; Barykinskii, R. G.; Kucherinenko, Y. V.}, Solution of the basic problems of discrete geometry on the plane, 401-461 [Zbl 0986.11043] \textit{Shorey, T. N.}, Exponential diophantine equations involving products of consecutive integers and related equations, 463-495 [Zbl 0958.11026] \textit{Waldschmidt, Michel}, Algebraic independence of transcendental numbers: a survey., 497-527 [Zbl 1072.11510]