Analytic Number Theory: Proceedings of a Conference Held at Temple University, Philadelphia, May 12-15, 1980 (Lecture Notes in Mathematics)

An orthonormal system and its Lebesgue constants....Pages 1-9 Mordell integrals and Ramanujan's “lost” notebook....Pages 10-48 Chapter 5 Ramanujan's second notebook....Pages 49-78 Oscillation theorems....Pages 79-106 On the generalized density hypothesis, I....Pages 107-128 The zeros of Hurwitz's zeta-function on σ=1/2....Pages 129-140 Gaps between consecutive zeta zeros....Pages 141-147 On the representation of the summatory functions of a class of arithmetical functions....Pages 148-165 P-adic L-functions at s=0 and s=1....Pages 166-170 Some problems and results on additive and multiplicative number theory....Pages 171-182 Computations and generalizations on a remark of Ramanujan....Pages 183-196 The arithmetic mean of the divisors of an integer....Pages 197-220 The next Pellian equation....Pages 221-230 Best Diophantine approximations for ternary linear forms, II....Pages 231-238 Constructive elementary estimates for M(x)....Pages 239-253 On the second largest prime divisor of an odd perfect number....Pages 254-263 A complement to Rident's P-adic generalization of the Thue-Siegel-Roth theorem....Pages 264-275 Cyclotomy for non-squarefree modul I....Pages 276-300 Waring's problem for sets of density zero....Pages 301-310 Sequences without arithmetic progressions....Pages 311-314 On polygon groups....Pages 315-324 Theta function identities and orthogonal polynomials....Pages 325-332 Ramanujan congruences for q(n)....Pages 333-359 Gaps in the Fourier series of automorphic forms....Pages 360-381 Gaps in the Fourier series of automorphic forms II....Pages 382-395 Modular functions revisited....Pages 396-421 Bounding the norm of the Poincaré θ-operator....Pages 422-441 Analysis on positive matrices as it might have occurred to Fourier....Pages 442-478