Fourier coefficients of automorphic \(L\)-functions over primes in ray classes
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Publication:6655071
Publication date: 20 December 2024
Published in: Journal of the Ramanujan Mathematical Society (Search for Journal in Brave)
Other Dirichlet series and zeta functions (11M41) Fourier coefficients of automorphic forms (11F30) Primes in congruence classes (11N13)
Cites Work
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- Perron's formula and the prime number theorem for automorphic \(L\)-functions
- Twisted symmetric-square \(L\)-functions and the nonexistence of Siegel zeros on \(\mathrm{GL}(3)\)
- Modularity of the Rankin-Selberg \(L\)-series, and multiplicity one for \(\mathrm{SL}(2)\)
- Functorial products for \(\text{GL}_2\times \text{GL}_3\) and the symmetric cube for \(\text{GL}_2\).
- Weak subconvexity without a Ramanujan hypothesis
- Standard zero-free regions for Rankin-Selberg \(L\)-functions via sieve theory
- Hypothesis H and the prime number theorem for automorphic representations
- LIMITING DISTRIBUTIONS OF THE CLASSICAL ERROR TERMS OF PRIME NUMBER THEORY
- The Hoheisel Phenomenon for Generalized Dirichlet Series
- Effective multiplicity one on GL n and narrow zero-free regions for Rankin-Selberg L- functions
- 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
- Superposition of zeros of distinct L-functions
- BOMBIERI–VINOGRADOV THEOREMS FOR MODULAR FORMS AND APPLICATIONS
- Effective Log-Free Zero Density Estimates for Automorphic L-Functions and the Sato–Tate Conjecture
- On sums of Hecke-Maass eigenvalues squared over primes in short intervals
- A Log-Free Zero-Density Estimate and Small Gaps in Coefficients of L-Functions
- A Generalization of the Siegel-Walfisz Theorem
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