The Frobenius flow-- 6. Shift operators-- 7.

Epilogue-- References-- Notation-- Index. The reader will encounter many important aspects of the theory, such as Bombieri's proof of the Riemann Hypothesis for function fields, along with an explanation of the connections with Nevanlinna theory and non-commutative geometry. The connection with non-commutative geometry is given special attention, with a complete determination of the Weil terms in the explicit formula for the point counting function as a trace of a shift operator on the additive space, and a discussion of how to obtain the explicit formula from the action of the idele class group on the space of adele classes.

## Riemann zeta function | What's new

The exposition is accessible at the graduate level and above, and provides a wealth of motivation for further research in this area. Subject Riemann hypothesis. Noncommutative differential geometry. Algebraic fields. Bibliographic information. Publication date Copyright date Series London Mathematical Society student texts ; 80 ISBN hardback hardback paperback paperback.

Browse related items Start at call number: QA V36 I hope this question is appropriate for this forum. Books by mathematical cranks especially books by amateurs who claim to prove or disprove RH in their book.

Books about analytic number theory in general that include some material about the Riemann Hypothesis or Riemann's Zeta Function. Doctoral dissertations published books based upon doctoral dissertations are, of course, included. Some of these are paper-length, not book-length, but they come up when I search Math Reviews for books, and who am I to argue with Math Reviews? Dutch [The Riemann hypothesis] Een miljoenenprobleem. ISBN: The Riemann hypothesis and prime number theorem. Comprehensive reference, guide and solution manual. ISBN: 11M26 11N05 [From the publisher's description: "The author adopts the real analysis and technical basis to guide and solve the problem based on high school mathematics.

MR Reviewed Ramachandra, K. On the mean-value and omega-theorems for the Riemann zeta-function. Lectures on mean values of the Riemann zeta function. MR Reviewed van de Lune, J.

## The Riemann Hypothesis for Function Fields

Some observations concerning the zero-curves of the real and imaginary parts of Riemann's zeta function. Mathematisch Centrum, Amsterdam, Rigorous high speed separation of zeros of Riemann's zeta function. MR Reviewed te Riele, H. Tables of the first zeros of the Riemann zeta function to 28 significant digits, and related quantities.

### number theorist names:F

On a formula of van der pol and a problem concerning the ordinates of the non-trivial zeros of Riemann's zeta function. Russian [Five-place tables of the generalized Riemann zeta-function of a complex argument] With an English preface. MR Reviewed Gavrilov, N.

Russian [The Riemann problem on the distribution of the roots of the zeta function ] Izdat. MR Reviewed Haselgrove, C.

### mathematics and statistics online

Tables of the Riemann zeta function. Royal Society Mathematical Tables, Vol.

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Zagier, Springer June 30, , pp. Ramanujan Lecture Notes Series, Vol. Balasubramanian, K.

## SearchWorks Catalog

Srinivas Eds. Lectures on the Riemann zeta-function , by K. This book provides an introduction to algebraic number theory suitable for senior undergraduates and Toggle navigation. New to eBooks. Filter Results. Last 30 days. Last 90 days.

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View More. The Theory of Partitions George E. Lattice Sums Then and Now J. Borwein , M.