Improvement of a Theorem of Linnik and Walfisz

@article{Chowla1948ImprovementOA,
  title={Improvement of a Theorem of Linnik and Walfisz},
  author={Sarvadaman Chowla},
  journal={Proceedings of The London Mathematical Society},
  year={1948},
  pages={423-429}
}
  • S. Chowla
  • Published 1948
  • Mathematics
  • Proceedings of The London Mathematical Society
Uniform effective estimates for $\vert L(1,\chi)\vert$
Let $L(s,\chi)$ be the Dirichlet $L$-function associated to a non-principal primitive Dirichlet character $\chi$ defined modulo $q$, where $q\ge 3$. We prove, under the assumption of the Generalised
Note on a paper by A. Granville and K. Soundararajan
HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and
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For any given integer k ≥ 2 we prove the existence of infinitely many q and characters χ (mod q) of order k, such that |L(1, χ)| ≥ (e + o(1)) log log q. We believe this bound to be best possible.
LARGE VALUES OF FOR TH ORDER CHARACTERS AND APPLICATIONS TO CHARACTER SUMS
For any given integer $k\geqslant 2$ we prove the existence of infinitely many $q$ and characters $\unicode[STIX]{x1D712}\,(\text{mod}\;q)$ of order $k$ such that
Euler's constant: Euler's work and modern developments
This paper has two parts. The first part surveys Euler's work on the constant gamma=0.57721... bearing his name, together with some of his related work on the gamma function, values of the zeta
Uniform effective estimates for |L(1,χ)|
Extreme values of automorphic L-functions at 1
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References

Government College Lahore (India
  • Proc. London Math. Soc
  • 1943