# Download PDF by Carl Pomerance, Michael Th. Rassias (eds.): Analytic Number Theory: In Honor of Helmut Maier's 60th

By Carl Pomerance, Michael Th. Rassias (eds.)

ISBN-10: 3319222392

ISBN-13: 9783319222394

This quantity encompasses a number of learn and survey papers written by way of the most eminent mathematicians within the foreign neighborhood and is devoted to Helmut Maier, whose personal examine has been groundbreaking and deeply influential to the sector. particular emphasis is given to themes concerning exponential and trigonometric sums and their habit briefly periods, anatomy of integers and cyclotomic polynomials, small gaps in sequences of sifted best numbers, oscillation theorems for primes in mathematics progressions, inequalities relating to the distribution of primes in brief durations, the Möbius functionality, Euler’s totient functionality, the Riemann zeta functionality and the Riemann speculation. Graduate scholars, examine mathematicians, in addition to laptop scientists and engineers who're attracted to natural and interdisciplinary study, will locate this quantity an invaluable resource.

*Contributors to this volume:*

Bill Allombert, Levent Alpoge, Nadine Amersi, Yuri Bilu, Régis de los angeles Bretèche, Christian Elsholtz, John B. Friedlander, Kevin Ford, Daniel A. Goldston, Steven M. Gonek, Andrew Granville, Adam J. Harper, Glyn Harman, D. R. Heath-Brown, Aleksandar Ivić, Geoffrey Iyer, Jerzy Kaczorowski, Daniel M. Kane, Sergei Konyagin, Dimitris Koukoulopoulos, Michel L. Lapidus, Oleg Lazarev, Andrew H. Ledoan, Robert J. Lemke Oliver, Florian Luca, James Maynard, Steven J. Miller, Hugh L. Montgomery, Melvyn B. Nathanson, Ashkan Nikeghbali, Alberto Perelli, Amalia Pizarro-Madariaga, János Pintz, Paul Pollack, Carl Pomerance, Michael Th. Rassias, Maksym Radziwiłł, Joël Rivat, András Sárközy, Jeffrey Shallit, Terence Tao, Gérald Tenenbaum, László Tóth, Tamar Ziegler, Liyang Zhang.

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**Extra info for Analytic Number Theory: In Honor of Helmut Maier's 60th Birthday**

**Example text**

J. Miller, R. Takloo-Bighash, An Invitation to Modern Number Theory (Princeton University Press, Princeton, 2006) 47. H.

Acta Arith. 161, 145–182 (2013) 33. C. Li, A. Knightly, Kuznetsov’s trace formula and the Hecke eigenvalues of Maass forms. Mem. Am. Math. Soc. 24(1055), 132 (fourth of 4 numbers) (2013) 34. J. pdf. Accessed 25–27 March 2007 35. J. Liu, Y. Ye, Petersson and Kuznetsov trace formulas, in Lie Groups and Automorphic Forms, ed. by L. -S. W. -T. Yau, AMS/IP Studies in Advanced Mathematics, vol. 37 (American Mathematical Society, Providence, 2006), pp. 147–168 36. H. Maier, On Exponential Sums with Multiplicative Coefficients, in Analytic Number Theory (Cambridge University Press, Cambridge 2009), pp.

103(3), 259–312 (2002) 7. H. Davenport, Multiplicative Number Theory (Graduate Texts in Mathematics), vol. 74, 2nd edn. (Springer, New York, 1980). Revised by H. Montgomery 8. E. J. 6/ family of L-functions. Compos. Math. 142(6), 1403–1425 (2006) 9. E. J. Miller, The effect of convolving families of L-functions on the underlying group symmetries. Proc. Lond. Math. Soc. (2009). 1112/plms/pdp018 10. M. Edwards, Riemann’s Zeta Function (Academic, New York, 1974) 11. A. Entin, E. Roditty-Gershon, Z.

### Analytic Number Theory: In Honor of Helmut Maier's 60th Birthday by Carl Pomerance, Michael Th. Rassias (eds.)

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