Analytic Number Theory
Analytic Number Theory Proceedings of a Conference Held at Temple University, Philadelphia, May 12–15, 1980 / [electronic resource] :
edited by Marvin I. Knopp.
- XII, 480 p. online resource.
- Lecture Notes in Mathematics, 899 0075-8434 ; .
- Lecture Notes in Mathematics, 899 .
An orthonormal system and its Lebesgue constants -- Mordell integrals and Ramanujan's “lost” notebook -- 5 Ramanujan's second notebook -- Oscillation theorems -- On the generalized density hypothesis, I -- The zeros of Hurwitz's zeta-function on ?=1/2 -- Gaps between consecutive zeta zeros -- On the representation of the summatory functions of a class of arithmetical functions -- P-adic L-functions at s=0 and s=1 -- Some problems and results on additive and multiplicative number theory -- Computations and generalizations on a remark of Ramanujan -- The arithmetic mean of the divisors of an integer -- The next Pellian equation -- Best Diophantine approximations for ternary linear forms, II -- Constructive elementary estimates for M(x) -- On the second largest prime divisor of an odd perfect number -- A complement to Rident's P-adic generalization of the Thue-Siegel-Roth theorem -- Cyclotomy for non-squarefree modul I -- Waring's problem for sets of density zero -- Sequences without arithmetic progressions -- On polygon groups -- Theta function identities and orthogonal polynomials -- Ramanujan congruences for q(n) -- Gaps in the Fourier series of automorphic forms -- Gaps in the Fourier series of automorphic forms II -- Modular functions revisited -- Bounding the norm of the Poincaré ?-operator -- Analysis on positive matrices as it might have occurred to Fourier.
9783540389538
10.1007/BFb0096450 doi
Number theory.
Number Theory.
QA241-247.5
512.7
An orthonormal system and its Lebesgue constants -- Mordell integrals and Ramanujan's “lost” notebook -- 5 Ramanujan's second notebook -- Oscillation theorems -- On the generalized density hypothesis, I -- The zeros of Hurwitz's zeta-function on ?=1/2 -- Gaps between consecutive zeta zeros -- On the representation of the summatory functions of a class of arithmetical functions -- P-adic L-functions at s=0 and s=1 -- Some problems and results on additive and multiplicative number theory -- Computations and generalizations on a remark of Ramanujan -- The arithmetic mean of the divisors of an integer -- The next Pellian equation -- Best Diophantine approximations for ternary linear forms, II -- Constructive elementary estimates for M(x) -- On the second largest prime divisor of an odd perfect number -- A complement to Rident's P-adic generalization of the Thue-Siegel-Roth theorem -- Cyclotomy for non-squarefree modul I -- Waring's problem for sets of density zero -- Sequences without arithmetic progressions -- On polygon groups -- Theta function identities and orthogonal polynomials -- Ramanujan congruences for q(n) -- Gaps in the Fourier series of automorphic forms -- Gaps in the Fourier series of automorphic forms II -- Modular functions revisited -- Bounding the norm of the Poincaré ?-operator -- Analysis on positive matrices as it might have occurred to Fourier.
9783540389538
10.1007/BFb0096450 doi
Number theory.
Number Theory.
QA241-247.5
512.7