Analytic Number Theory: Proceedings of a Conference in Honor of Paul T. Bateman

Front Matter....Pages i-viii
q-Trinomial Coefficients and Rogers-Ramanujan Type Identities....Pages 1-11
Evaluations of Selberg Character Sums....Pages 13-21
Oscillations of Quadratic L-Functions....Pages 23-40
Elementary Proof of a Theorem of Bateman....Pages 41-46
The Prime k-Tuplets Conjecture on Average....Pages 47-75
On Arithmetic Functions Involving Consecutive Divisors....Pages 77-90
Small Zeros of Quadratic Forms Modulo p, II....Pages 91-94
Zeros of Derivatives Of the Riemann Zeta-Function Near the Critical Line....Pages 95-110
On some Exponential Sums....Pages 111-118
On the Integers n for which Ω( n )= k ....Pages 119-132
A Boundary Value Problem for a Pair of Differential Delay Equations Related to Sieve Theory, I....Pages 133-157
Some Remarks about Multiplicative Functions of Modulus < 1....Pages 159-164
On the Normal Behavior of the Iterates Of some Arithmetic Functions....Pages 165-204
On the Number of Partitions of n Without a Given Subsum, II....Pages 205-234
On Gaps between Squarefree Numbers....Pages 235-253
Some Arithmetical Semigroups....Pages 255-264
Norms in Arithmetic Progressions....Pages 265-268
Lower Bounds for Least Quadratic Non-Residues....Pages 269-309
Some Conjectures in Analytic Number Theory And their Connection With Fermat’s Last Theorem....Pages 311-326
Modular Integrals and Their Mellin Transforms....Pages 327-342
A Congruence for Generalized Frobenius Partitions with 3 Colors Modulo Powers of 3....Pages 343-348
The Coefficients of Cyclotomic Polynomials....Pages 349-366
The Rudin-Shapiro Sequence, Ising Chain, and Paperfolding....Pages 367-382
On Binomial Equations over Function Fields And a Conjecture of Siegel....Pages 383-393
Best Possible Results on the Density of Sumsets....Pages 395-403
Some Powers of The Euler Product....Pages 405-411
A Divergent Argument Concerning Hadamard Roots Of Rational Functions....Pages 413-427
Diagonalizing Eisenstein Series. I....Pages 429-450
Some Binary Partition Functions....Pages 451-477
On the Minimal Level of Modular Forms....Pages 479-491
Inequalities for Heights Of Algebraic Subspaces And the Thue-Siegel Principle....Pages 493-528
The Abstract Prime Number Theorem For Algebraic Function Fields....Pages 529-558
Back Matter....Pages 559-560