• Home
  • Analytic
  • Analytic Number Theory: Proceedings of a Conference Held at by Emil Grosswald (auth.), Marvin I. Knopp (eds.)

Analytic Number Theory: Proceedings of a Conference Held at by Emil Grosswald (auth.), Marvin I. Knopp (eds.)

By Emil Grosswald (auth.), Marvin I. Knopp (eds.)

Show description

Read Online or Download Analytic Number Theory: Proceedings of a Conference Held at Temple University, Philadelphia, May 12–15, 1980 PDF

Best analytic books

Methods in agricultural chemical analysis: a practical handbook

This reference handbook includes info at the most fitted techniques for the research of agricultural fabrics. It describes the research of soils and composts, plant fabrics, feeds, plant parts (e. g. cellulose, lignin, hint elements), fertilizers, and organic elements. The ebook is designed as a laboratory sourcebook, whole with helpful web addresses, and includes over 60 various sensible equipment.

Cicero's Style: A Synopsis

This research of Cicero's sort discusses modifications of literary genres, nuances of fashion inside of person works, and chronological improvement, via an account of mounted parts general of Cicero's diction. ultimately, chosen interpretative reviews reveal the connection of fashion and context within the orations, with distinctive regard to literary shape and political or ethical content material.

Basics of Analytical Chemistry and Chemical Equilibria

Content material: bankruptcy 1 Making Measurements (pages 1–52): bankruptcy 2 pattern coaching, Extractions, and Chromatography (pages 53–102): bankruptcy three Classical tools (pages 103–140): bankruptcy four Molecular Spectroscopy (pages 141–175): bankruptcy five Acid? Base Equilibria and job (pages 177–220): bankruptcy 6 Buffer options and Polyprotic Acids (pages 221–244): bankruptcy 7 Complexation and Precipitation Equilibria (pages 245–291): bankruptcy eight Electroanalytical Chemistry (pages 293–339): bankruptcy nine Atomic Spectrometry (pages 340–366): bankruptcy 10 Analytical Separations (pages 367–406):

Extra info for Analytic Number Theory: Proceedings of a Conference Held at Temple University, Philadelphia, May 12–15, 1980

Sample text

17. J. Mordell, The definite integral f " eax2+bXdx/(eCX+d) and the analytic theory of numbers, Acta Math. Stockholm, 61 (1933), 323-360. 18. S. Ramanujan, Collected Papers, Cambridge University Press, London and New York, 1927; reprinted Chelsea, New York. 19. B. Sears, On the transformation theory of basic hypergeometric functions, Proc. London Math. Soc. (2), 53 (1951), 158-180. 20. L. Siegel, Uber Riemanns Nachlass zur analytischen Zahlentheorie, Quellen und Studien zur Geschichte der Mathematik, Astronomie und Physik, 2 (1933), 45-80.

N. Bailey, On the basic bilateral hypergeometric series 2~2, Quart. J. , l (1950), 194-198. II. R. Bellman, A Brief Introduction to Theta Functions, Holt, Rinehart and Winston, New York, 1961. 12. T. Copson, An Introduction to the Theory of Functions of a Complex Variable, Oxford University Press, London, 1935. 13. A. Dragonette, Some asymptotic formulae for the mock theta series of Ramanujan, Amer. J. , 72 (1952), 474-500. 14. J. Jacobi, Fundamenta Nova Theoriae Functionum Ellipticarum, Regiomontl, fratrum Borntrager, 1829 (Reprinted: in vol.

Extensions and modular transformations of Ramanujan's functions. While the approach of the last section provides uniformity, it fails to place these results in the basic hypergeometric hierarchy. In fact many of the results of Section 3 may be viewed as specializations of Watson's q-analog of Whipple's theorem [21; p. I00, eq. 1) 8r I , _~, ~ d, ~q ' c e, ~q ' d q-N ; q, ~2qN+2. , ~q deq-N ar; q ' t i b l , b 2 . . . 4). 7) when a = I. Most noteworthy in a l l these observations however is the f a c t t h a t n e i t h e r M3(q) nor a g e n e r a l i z a t i o n appears in any of Ramanujan's work.

Download PDF sample

Rated 4.08 of 5 – based on 31 votes