Theory of the Riemann zeta and allied functions (Q1780850)
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scientific article; zbMATH DE number 2175840
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Theory of the Riemann zeta and allied functions |
scientific article; zbMATH DE number 2175840 |
Statements
Theory of the Riemann zeta and allied functions (English)
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14 June 2005
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Contribution: -- R. Balasubramanian, Omega results for the Riemann zeta function and the error terms in the summatory functions of arithmetic functions p.2423 -- Michel Balazard (joint with Nicolas Jousse), A continuity property connected with Nyman's criterion for the Riemann hypothesis p.2426 -- Valentin Blomer, Non-vanishing of class group \(L\)-functions at the central point p.2428 -- Enrico Bombieri (joint with Julia Mueller), On the zeros of certain Epstein zeta functions p.2430 -- Roelof W. Bruggeman (joint with Yoichi Motohashi), On the explicit spectral formula for the fourth moment of the Riemann zeta function p.2432 -- Daniel Bump (joint with Jennifer Beineke), Automorphic summation formulae and moments of \(\zeta(s)\) p. 2435 -- Brian Conrey (joint with Nina Snaith), The ratios conjecture for the Riemann zeta function p.2438 -- Peter D. T. A. Elliott, An arithmetic characterisation of the logarithm p.2441 -- Kevin Ford (joint with Alexandru Zaharescu), Irregularities in the distribution of imaginary parts of the Riemann zeta function and L-functions p.2442 -- Étienne Fouvry (joint with Karim Belabas), Discriminants of cubic fields p.2445 -- John B. Friedlander (joint with Henryk Iwaniec), On a divisor sum p.2447 -- Dorian Goldfeld (joint with Alexander Lubotzky, Nikolay Nikolov and László Pyber), Counting primes, groups, and manifolds p.2449 -- Daniel Goldston (joint with Cem Yalçın Yıldırım), Approximating prime tuples p. 2450 -- Martin N. Huxley, Work in progress on exponential sums and the Riemann zeta function p.2452 -- Aleksandar Ivić, The Riemann zeta function and the divisor problem p.2453 -- Matti Jutila and Yoichi Motohashi, A uniform bound for Hecke \(L\)-functions p.2455 -- Wenzhi Luo, A refined nonvanishing theorem for automorphic \(L\)-functions on \(\text{GL}(n,\mathbb{A}_Q)\) p.2457 -- Helmut Maier (joint with Hugh L. Montgomery), The sum of the Möbius function p.2458 -- Philippe Michel (joint with Valentin Blomer and Gergely Harcos), A Burgess-like bound for twisted \(L\)-functions p.2459 -- Hugh L. Montgomery (joint with Ulrike M. A.Vorhauer), Changes of sign of \(\psi(x)-x\) p.2459 -- Leo Murata (joint with Koji Chinen and Carl Pomerance), On a property of the multiplicative order of \(a \pmod p\) p.2462 -- V. Kumar Murty (joint with M. Ram Murty), Pair correlation and the Chebotarev Density Theorem p.2463 -- Alberto Perelli (joint with Jerzy Kaczorowski), The Selberg class: Linear and nonlinear twists p.2465 -- Ayyadurai Sankaranarayanan (joint with Maubariz Garaev), On a sum involving derivative of \(\zeta(s)\) over simple zeros p.2469 -- Harold M. Stark, Siegel zeros and number fields p.2471 -- Jörn Steuding, Joint universality of \(L\)-functions p.2471 -- Kai Man Tsang (joint with Yuk-Kam Lau), The error term in the mean square formula for \(\zeta(1/2+it)\) p.2473 -- Robert C. Vaughan, A variance for \(k\)-free numbers in arithmetic progressions p.2476 -- Nigel Watt, Analogues for results of Deshouillers and Iwaniec p.2479 -- Cem Yalçın Yıldırım (joint with Daniel A. Goldston), An application of triple correlations of a divisor sum to the distribution of primes p.2481 -- Qiao Zhang, The mean values of \(L\)-functions p.2483
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