Riemann zeta-function: theory and applications
Publication details: Dover Publications, 2003. New York:Description: xix, 517 p.; pb; 23 cmISBN:- 9780486428130
- 515.56 IVI
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IIT Gandhinagar | General | 515.56 IVI (Browse shelf(Opens below)) | Available | 029234 |
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515.55 KHR Orthogonal polynomials and continued fractions: from Euler's point of view | 515.55 MAC Affine hecke algebras and orthogonal polynomials | 515.55 STA General orthogonal polynomials, Vol. 43 | 515.56 IVI Riemann zeta-function: theory and applications | 515.56 PAT Introduction to the theory of the Riemann zeta-function | 515.62 KUC Iterative functional equations, Vol. 32 | 515.63 KAY Schaum's of tensor calculus |
This extensive survey presents a comprehensive and coherent account of Riemann zeta-function theory and applications. Starting with elementary theory, it examines exponential integrals and exponential sums, the Voronoi summation formula, the approximate functional equation, the fourth power moment, the zero-free region, mean value estimates over short intervals, higher power moments, and omega results. Additional topics include zeros on the critical line, zero-density estimates, the distribution of primes, the Dirichlet divisor problem and various other divisor problems, and Atkinson's formula for the mean square. End-of-chapter notes supply the history of each chapter's topic and allude to related results not covered by the book.
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