Title | Analytic Number Theory [electronic resource] : Proceedings of a Conference in Honor of Paul T. Bateman / edited by Bruce C. Berndt, Harold G. Diamond, Heini Halberstam, Adolf Hildebrand |
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Imprint | Boston, MA : Birkhรคuser Boston, 1990 |
Connect to | http://dx.doi.org/10.1007/978-1-4612-3464-7 |
Descript | VIII, 560 p. online resource |
q-Trinomial Coefficients and Rogers-Ramanujan Identities -- Evaluations of Selberg Character Sums -- Oscillations of Quadratic L-Functions -- Elementary Proof of a Theorem of Bateman -- The Prime k-Tuplets Conjecture on Average -- On Arithmetic Functions Involving Consecutive Divisors -- Small Zeros of Quadratic Forms Modulo p, II -- Zeros of Derivatives of the Riemann Zeta-Function near the Critical Line -- On some Exponential Sums -- On the Integers n for which ?(n) = k -- A Boundary Problem for a Pair of Differential-Delay Equations related to Sieve Theory, I -- Some Remarks about Multiplicative Functions of Modulus < 1 -- On the Normal Behavior of the Iterates of some Arithmetic Functions -- On the Number ofPartitions of n without a Given Subsum, II -- On Gaps between SquarefreeNumbers -- Some Arithmetical Semigroups -- Norms in Arithmetic Progressions -- Lower Bounds for Least Quadratic Non-Residues -- Some Conjectures in Analytic Number Theory and their Connection with Fermatโs Last Theorem -- Modular Integrals and their Mellin Transforms -- A Congruence for Generalized Frobenius Partitions with 3 Colors Modulo Powers of 3 -- The Coefficients of Cyclotomic Polynomials -- The Rudin-Shapiro Sequence, Ising Chain, and Paperfolding -- On Binomial Equations over Function Fields and a Conjecture of Siegel -- Best Possible Results on the Density of Sumsets -- Some Powers of the Euler Product -- A Divergent Argument Concerning Hadamard Roots of Rational Functions -- Diagonalizing Eisenstein Series. I -- Some Binary Partition Functions -- On the Minimal Level of Modular Forms -- Inequalities for Heights of Algebraic Subspaces and the Thue-Siegel Principle -- The Abstract Prime Number Theorem for Algebraic Function Fields