Estimation of shifted sums of Fourier coefficients of cusp forms plays crucial roles in analytic number theory. Its known region of holomorphy and bounds, however, depend on bounds toward the general Ramanujan conjecture. In this article, we extended such a shifted sum meromorphically to a larger ha
A subconvexity bound for Hecke L-functions
✍ Scribed by Étienne Fouvry; Henryk Iwaniec
- Book ID
- 108316495
- Publisher
- NUMDAM (Numrisation de Documents Anciens Mathmatiques)
- Year
- 2001
- Tongue
- French
- Weight
- 170 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0012-9593
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📜 SIMILAR VOLUMES
An estimate for Hecke Zeta-functions with Gro ssencharacters on the critical line is proved which corresponds to the classical result `(1Â2+it)R = (|t| +1) 1Â6+= on Riemann's zeta-function. The constants implied in the R-sign depend neither on the conductor nor on the exponents of the Gro ssencharac
Let N ≡ 1 mod 4 be the negative of a prime, K = Q( √ N) and O K its ring of integers. Let D be a prime ideal in O K of prime norm congruent to 3 mod 4. Under these assumptions, there exists Hecke characters D of K with conductor (D) and infinite type (1, 0). Their Lseries L( D , s) are associated to