BOMBIERI–VINOGRADOV THEOREMS FOR MODULAR FORMS AND APPLICATIONS
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Publication:5112816
DOI10.1112/mtk.12014zbMath1445.11032OpenAlexW2991858958MaRDI QIDQ5112816
Publication date: 8 June 2020
Published in: Mathematika (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1112/mtk.12014
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- Variants of the Selberg sieve, and bounded intervals containing many primes
- Primes in arithmetic progressions to large moduli. II
- Primes in tuples. I
- Perron's formula and the prime number theorem for automorphic \(L\)-functions
- Primes in arithmetic progressions to large moduli
- Divisibilite de certaines fonctions arithmétiques
- Twisted symmetric-square \(L\)-functions and the nonexistence of Siegel zeros on \(\mathrm{GL}(3)\)
- An upper bound on conductors for pairs
- Modularity of the Rankin-Selberg \(L\)-series, and multiplicity one for \(\mathrm{SL}(2)\)
- Zeros of principal \(L\)-functions and random matrix theory
- Standard zero-free regions for Rankin-Selberg \(L\)-functions via sieve theory
- Bounded gaps between primes
- A Bombieri-Vinogradov theorem for all number fields
- Binomial Coefficients and the Distribution of the Primes
- On the least prime in an arithmetic progression and estimates for the zeros of Dirichlet L-functions
- Effective multiplicity one on GL n and narrow zero-free regions for Rankin-Selberg L- functions
- Le spectre résiduel de ${\rm GL}(n)$
- Primes in Arithmetic Progressions to Large Moduli. III
- An elementary method in prime number theory
- The spectral growth of automorphic L-functions.
- Mean Value Theorems in Prime Number Theory
- A relation between automorphic representations of ${\rm GL}(2)$ and ${\rm GL}(3)$
- The Siegel-Walfisz theorem for Rankin-Selberg L-functions associated with two cusp forms
- WHEN DOES THE BOMBIERI–VINOGRADOV THEOREM HOLD FOR A GIVEN MULTIPLICATIVE FUNCTION?
- Zero-Free Regions for Dirichlet L-Functions, and the Least Prime in an Arithmetic Progression
- Patterns of primes in Chebotarev sets
- Effective Log-Free Zero Density Estimates for Automorphic L-Functions and the Sato–Tate Conjecture
- Conditional bounds for the least quadratic non-residue and related problems
- A Log-Free Zero-Density Estimate and Small Gaps in Coefficients of L-Functions
- The large sieve
- Bombieri's mean value theorem
- The Large Sieve Inequality for Algebraic Number Fields Iii. Zero-Density Results
- Problems in the theory of automorphic forms to Salomon Bochner in gratitude
- Small gaps between primes
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