scientific article

zbMath0663.10027MaRDI QIDQ3813865

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Publication date: 1987

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zbMATH Keywords

modular formslarge sieveFourier coefficients of cusp formsRamanujan conjectureprime geodesic theoremSelberg's conjectureSelberg's trace formulaModular forms of half-integral weightspectral theory of automorphic formssurvey lecturedeformation of cusp formsKloosterman sums formulamean-value theorem for primes in arithmetic progressionsSmall eigenvalues

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Research exposition (monographs, survey articles) pertaining to number theory (11-02) Holomorphic modular forms of integral weight (11F11) Primes in congruence classes (11N13) Trigonometric and exponential sums (general theory) (11L03) Automorphic forms, one variable (11F12) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Sieves (11N35)

Related Items (3)

Congruence subgroups and maximal Riemann surfaces ⋮ Quadratic Forms and Automorphic Forms ⋮ BOUNDS FOR A MEAN VALUE OF CHARACTER SUMS

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