Analytic Number Theory
Springer Berlin (Verlag)
978-3-540-11173-3 (ISBN)
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.
| Erscheint lt. Verlag | 1.12.1981 |
|---|---|
| Reihe/Serie | Lecture Notes in Mathematics |
| Zusatzinfo | XII, 480 p. |
| Verlagsort | Berlin |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Gewicht | 685 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie |
| Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik | |
| Schlagworte | Analytische Zahlentheorie • Calculus • Diophantine approximation • Number Theory • Prime • Waring's Problem |
| ISBN-10 | 3-540-11173-5 / 3540111735 |
| ISBN-13 | 978-3-540-11173-3 / 9783540111733 |
| Zustand | Neuware |
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