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Books on the topic 'Zeros of zeta function'

Author: Grafiati

Published: 3 June 2025

Last updated: 31 July 2025

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1

Voros, André. Zeta Functions over Zeros of Zeta Functions. Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-05203-3.

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2

1967-, Van Frankenhuysen Machiel, ed. Fractal geometry and number theory: Complex dimensions of fractal strings and zeros of zeta functions. Birkhäuser, 2000.

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3

Laurinčikas, Antanas, and Ramūnas Garunkštis. The Lerch Zeta-function. Springer Netherlands, 2003. http://dx.doi.org/10.1007/978-94-017-6401-8.

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4

Ramūnas, Garunkštis, ed. The Lerch zeta-function. Kluwer Academic Publishers, 2002.

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5

Montgomery, Hugh, Ashkan Nikeghbali, and Michael Th Rassias, eds. Exploring the Riemann Zeta Function. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-59969-4.

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6

Keating, Jonathan P. Resummation and the turning-points of zeta function. Hewlett Packard, 1996.

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7

Motohashi, Y. Spectral theory of the Riemann zeta-function. Cambridge University Press, 1997.

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8

Laurinčikas, Antanas. Limit theorems for the Riemann zeta-function. Kluwer Academic, 1996.

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9

Laurinčikas, Antanas. Limit Theorems for the Riemann Zeta-Function. Springer Netherlands, 1996. http://dx.doi.org/10.1007/978-94-017-2091-5.

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10

R, Heath-Brown D., ed. The theory of the Riemann zeta-function. 2nd ed. Clarendon Press, 1986.

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11

Reimann, Harry. The semi-simple zeta function of quaternionic Shimura varieties. Springer, 1997.

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12

Ivić, A. Lectures on mean values of the Riemann Zeta function. Published for the Tata Institute of Fundamental Research [by] Springer-Vlg., 1991.

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13

Yildirim, Cem Yalcin. Zeta function theory: Pair correlation and value distribution. [s.n.], 1990.

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14

Reimann, Harry. The semi-simple zeta function of quaternionic Shimura varieties. Springer, 1997.

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15

Reimann, Harry. The semi-simple zeta function of quaternionic Shimura varieties. Springer Berlin Heidelberg, 1997. http://dx.doi.org/10.1007/bfb0093995.

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16

Coates, John, A. Raghuram, Anupam Saikia, and R. Sujatha, eds. The Bloch–Kato Conjecture for the Riemann Zeta Function. Cambridge University Press, 2015. http://dx.doi.org/10.1017/cbo9781316163757.

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17

Ivic, A. Lectures on mean values of the Riemann zeta function. Springer-Verlag for theTata Institute of Fundamental Research, 1991.

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18

Lukkarinen, Mari. The Mellin transform of the square of Riemann's zeta-function and Atkinson's formula. Suomalainen Tiedeakatemia, 2005.

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19

Gilbert, Samuel W. The Riemann hypothesis and the roots of the Riemann Zeta Function. BookSurge Publishing, 2009.

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20

R, Balasubramanian, R. Balasubramanian, and K. Srinivas. The Riemann zeta function and related themes: Papers in honour of Professor K. Ramachandra. Edited by Ramachandra K and Ramanujan Mathematical Society. Ramanujan Mathematical Society, 2006.

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21

Fischer, Jürgen. An Approach to the Selberg Trace Formula via the Selberg Zeta-Function. Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/bfb0077696.

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22

He, Christina Q. Generalized Minkowski content, spectrum of fractal drums, fractal strings, and the Riemann-zeta-function. American Mathematical Society, 1997.

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23

Ramachandra, K. Lectures on the mean-value and omega-theorems for the Riemann zeta-function. Springer-Verlag, 1995.

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24

PISRS 2011 International Conference on Analysis, Fractal Geometry, Dynamical Systems and Economics (2011 Messina, Italy). Fractal geometry and dynamical systems in pure and applied mathematics. Edited by Carfi David 1971-, Lapidus, Michel L. (Michel Laurent), 1956-, Pearse, Erin P. J., 1975-, Van Frankenhuysen Machiel 1967-, and Mandelbrot Benoit B. American Mathematical Society, 2013.

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25

Hildebrand, Dominic. The 'inhibitor of NF-kappa B zeta' is a pleiotropic key regulator of macrophage function. s.n.], 2013.

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26

Saff, E. B., Douglas Patten Hardin, Brian Z. Simanek, and D. S. Lubinsky. Modern trends in constructive function theory: Conference in honor of Ed Saff's 70th birthday : constructive functions 2014, May 26-30, 2014, Vanderbilt University, Nashville, Tennessee. American Mathematical Society, 2016.

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27

Tsfasman, M. A. Algebraic geometry codes: Basic notions. American Mathematical Society, 2007.

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28

Zeta functions over zeros of zeta functions. Springer, 2010.

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29

Weng, Lin. Zeta Functions of Reductive Groups and Their Zeros. World Scientific Publishing Co Pte Ltd, 2018.

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30

Spencer, Thomas. Number theory. Edited by Gernot Akemann, Jinho Baik, and Philippe Di Francesco. Oxford University Press, 2018. http://dx.doi.org/10.1093/oxfordhb/9780198744191.013.24.

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Abstract:

This article examines some of the connections between random matrix theory (RMT) and number theory, including the modelling of the value distributions of the Riemann zeta function and other L-functions as well as the statistical distribution of their zeros. Number theory has been used in RMT to address seemingly disparate questions, such as modelling mean and extreme values of the Riemann zeta function and counting points on curves. One thing in common among the applications of RMT to number theory is the L-function. The statistics of the critical zeros of these functions are believed to be re

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31

Lapidus, Michel L., and Machiel van Frankenhuysen. Fractal Geometry and Number Theory: Complex Dimensions of Fractal Strings and Zeros of Zeta Functions. Birkhauser Verlag, 2013.

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32

Fractal Geometry and Number Theory: Complex Dimensions of Fractal Strings and Zeros of Zeta Functions. Birkhäuser, 2011.

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33

Fractal Geometry and Number Theory: Complex Dimensions of Fractal Strings and Zeros of Zeta Functions. Springer Verlag AG, 2005.

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34

Fractal Geometry and Number Theory: Complex Dimensions of Fractal Strings and Zeros of Zeta Functions. Birkhäuser, 2012.

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35

Lerch Zeta-Function. Springer, 2010.

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36

Koblitz, Neal. Riemann Zeta-Function. De Gruyter, Inc., 1992.

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37

Garunkstis, Ramunas, and Antanas Laurincikas. Lerch Zeta-Function. Springer, 2013.

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38

Edwards, Harold M. Riemann's Zeta Function. Dover Publications, 2001.

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39

Koblitz, Neal. Riemann Zeta-Function. de Gruyter GmbH, Walter, 2011.

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40

Laurincikas, A., and Ramunas Garunkstis. The Lerch zeta-function. Springer, 2003.

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41

Cole, Jason. Mysterious Zeta-Like Function. Independently Published, 2018.

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42

Zeta Function of Riemann. Creative Media Partners, LLC, 2021.

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43

Zeta Function of Riemann. Creative Media Partners, LLC, 2021.

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44

Ivić, A. The Riemann zeta-function: The theory of the Riemann zeta-function with applications. Wiley, 1985.

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45

The Riemann zeta-function: The theory of the Riemann zeta-function with applications. Wiley, 1985.

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46

Cole, Jason. Riemann Zeta Function Computed As ζ: 3D Riemann Hypothesis. Independently Published, 2017.

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47

Cole, Jason. Riemann Zeta Function Computed As ζ: 3D Riemann Hypothesis? Independently Published, 2017.

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48

Ivic, Aleksandar. Riemann Zeta-Function: Theory and Applications. Dover Publications, Incorporated, 2012.

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49

Ivic, Aleksandar. The Riemann Zeta-Function: Theory and Applications. Dover Publications, 2013.

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50

IVIC, Aleksandar. Riemann Zeta-Function: Theory and Applications. Dover Publications, Incorporated, 2012.

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