Keywords
- Fourier Coefficient
- Cusp Form
- Dirichlet Series
- Partial Summation
- Dirichlet Polynomial
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
E. Bombieri and H. Iwaniec, On the order of ζ(1/2+it), Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 13 (1986), 449–472
A. Good, The square mean of Dirichlet series associated with cusp forms, Mathematika 29 (1982), 278–295.
M. N. Huxley and N. Watt, Exponential sums and the Riemann zeta function, Proc. London Math. Soc. (3) 57 (1988), 1–24.
A. Ivić, "The Riemann zeta-function", John Wiley & Sons, New York, 1985.
H. Iwaniec, Fourier coefficients of cusp forms and the Riemann zeta-function, Séminaire de Théorie des Nombres, Univ. Bordeaux 1979/80, exposé no 18, 36 pp.
M. Jutila, On the divisor problem for short intervals, Ann. Univ. Turkuensis Ser. A I 186 (1984), 23–30.
M. Jutila, The fourth power moment of the Riemann zeta-function over a short interval, Proc. Coll. Soc. János Bolyai, Coll. on Number Theory (Budapest 1987), North Holland, Amsterdam (to appear).
M. Jutila, "Lectures on a method in the theory of exponential sums", Tata Institute of Fundamental Research, Lectures on Mathematics and Physics vol. 80, Bombay, 1987.
H. L. Montgomery, "Topics in Multiplicative Number Theory", Lecture Notes in Mathematics vol. 227, Springer-Verlag, Berlin-Heidelberg-New York, 1971.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1989 Springer-Verlag
About this paper
Cite this paper
Jutila, M. (1989). Mean value estimates for exponential sums. In: Schlickewei, H.P., Wirsing, E. (eds) Number Theory. Lecture Notes in Mathematics, vol 1380. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0086549
Download citation
DOI: https://doi.org/10.1007/BFb0086549
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-51397-1
Online ISBN: 978-3-540-46205-7
eBook Packages: Springer Book Archive
