Standard zero-free regions for Rankin–Selberg L-functions via sieve theory
Author:
Funder
University College London
Publisher
Springer Science and Business Media LLC
Subject
General Mathematics
Link
http://link.springer.com/content/pdf/10.1007/s00209-018-2136-8.pdf
Reference26 articles.
1. Balasubramanian, R., Ramachandra, K.: The place of an identity of Ramanujan in prime number theory. Proc. Indian Acad. Sci. Sect. A 83(4), 156–165 (1976). https://doi.org/10.1007/BF03051376
2. Banks, W.D.: Twisted symmetric square $$L$$ L -functions and the non-existence of siegel zeros on $${{\rm GL}}(3)$$ GL ( 3 ) . Duke Math. J. 87(2), 343–353 (1997). https://doi.org/10.1215/S0012-7094-97-08713-5
3. Brumley, F.: Effective multiplicity one on $${{\rm GL}}(n)$$ GL ( n ) and zero-free regions of Rankin–Selberg $$L$$ L -functions. Am. J. Math. 128(6), 1455–1474 (2006). https://doi.org/10.1353/ajm.2006.0042
4. Bushnell, C.J., Henniart, G.: An upper bound on conductors for pairs. J. Number Theory 65(2), 183–196 (1997). https://doi.org/10.1006/jnth.1997.2142
5. Gelbart, S.S., Lapid, E.M.: Lower bounds for $$L$$ L -functions at the edge of the critical strip. Am. J. Math. 128(3), 619–638 (2006). https://doi.org/10.1353/ajm.2006.0024
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