A simple proof of the mean fourth power estimate for ζ ( 1 2 + i t ) and L ( 1 2 + i t , χ )

K. Ramachandra

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1974)

  • Volume: 1, Issue: 1-2, page 81-97
  • ISSN: 0391-173X

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Ramachandra, K.. "A simple proof of the mean fourth power estimate for $\zeta (\frac{1}{2} + it)$ and $L (\frac{1}{2} + it, \chi )$." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 1.1-2 (1974): 81-97. <http://eudml.org/doc/83673>.

@article{Ramachandra1974,
author = {Ramachandra, K.},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
language = {eng},
number = {1-2},
pages = {81-97},
publisher = {Scuola normale superiore},
title = {A simple proof of the mean fourth power estimate for $\zeta (\frac\{1\}\{2\} + it)$ and $L (\frac\{1\}\{2\} + it, \chi )$},
url = {http://eudml.org/doc/83673},
volume = {1},
year = {1974},
}

TY - JOUR
AU - Ramachandra, K.
TI - A simple proof of the mean fourth power estimate for $\zeta (\frac{1}{2} + it)$ and $L (\frac{1}{2} + it, \chi )$
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1974
PB - Scuola normale superiore
VL - 1
IS - 1-2
SP - 81
EP - 97
LA - eng
UR - http://eudml.org/doc/83673
ER -

References

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  1. [1] K. Chandrasekharan - R. Narasimhan, The approximate functional equation for a class of zeta-functions, Math. Ann., 152 (1963), pp. 30-64. Zbl0116.27001MR153643
  2. [2] P.X. Gallagher, Bombieri's mean value theorem, Mathematika, 15 (1968), pp. 1-6. Zbl0174.08103MR237442
  3. [3] M.N. Huxley, On the difference between consecutive primes, Invent. Math., 15 (1972), pp. 164-170. Zbl0241.10026MR292774
  4. [4] M.N. Huxley, The Distribution of Prime Numbers, Oxford Mathematical Monographs, Oxford (1972). Zbl0248.10030MR444593
  5. [5] M. Jutila, On a density theorem of H. L. Montgomery for L-functions, Annales Academiae Scientiarum Fennicae, Series A, I Mathematica, 520 (1972), pp. 1-12. Zbl0243.10033MR327681
  6. [6] H.L. Montgomery, Mean and large values of Dirichlet polynomials, Invent. Math., 8 (1969), pp. 334-345. Zbl0204.37301MR268130
  7. [7] H.L. Montgomery, Zeros of L-functions, Invent. Math., 8 (1969), pp. 346-354. Zbl0204.37401MR249375
  8. [8] H.L. Montgomery, Topics in Multiplicative Number Theory, Lecture notes in Mathematics, Springer Verlag (1971). Zbl0216.03501MR337847
  9. [9] R. Ramachandra, On a discrete mean value theorem for ζ(s), Jour. Indian. Math. Soc., 36 (1972), pp. 307-316. Zbl0266.10034
  10. [10] E.C. Titchmarsh, The Theory of the Riemann Zeta-Function, Clarendon Press, Oxford (1951). Zbl0042.07901MR46485

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