Overview of the Work of Kumar Murty
DOI10.1007/978-3-319-97379-1_1zbMath1475.11003OpenAlexW2891167183MaRDI QIDQ5014815
Amir Akbary, M. Ram Murty, Sanoli Gun
Publication date: 8 December 2021
Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-319-97379-1_1
Biographies, obituaries, personalia, bibliographies (01A70) Abelian varieties of dimension (> 1) (11G10) History of number theory (11-03) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Applications of sieve methods (11N36) Density theorems (11R45) History of algebraic geometry (14-03) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Applications to coding theory and cryptography of arithmetic geometry (14G50)
Cites Work
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- The distribution of Euler-Kronecker constants of quadratic fields
- A variant of Lehmer's conjecture
- Reductions of points on elliptic curves
- Algebraic cycles of abelian varieties
- Exceptional Hodge classes on certain abelian varieties
- Period relations and the Tate conjecture for Hilbert modular surfaces
- Mean values of derivatives of modular \(L\)-series
- Some effective cases of the Brauer-Siegel theorem
- Stark zeros in certain towers of fields
- Elliptic minuscule pairs and splitting abelian varieties
- Nonvanishing of quadratic Dirichlet \(L\)-functions at \(s=\frac{1}{2}\)
- Lefschetz classes on abelian varieties
- Splitting of abelian varieties
- A remark on the Sato-Tate conjecture
- Nonvanishing theorems for L-functions of modular forms and their derivatives
- Some Remarks on Automorphy and the Sato-Tate Conjecture
- On the Euler Kronecker Constant of a Cyclotomic Field, II
- Zeros and poles of Artin L-series
- Splitting of Abelian Varieties
- On the logarithmic derivatives of Dirichlet L-functions at s=1
- Hodge Classes on Certain Types of Abelian Varieties
- Modular Forms and the Chebotarev Density Theorem
- Selberg’s conjectures and Artin 𝐿-functions
- Linear algebra algorithms for divisors on an algebraic curve
- OMEGA THEOREMS FOR $\frac{L'}{L}(1, \chi_D)$
- The Lindelöf class of L-functions II
- Tate Cycles on Abelian Varieties with Complex Multiplication
- Heilbronn characters
- Zeros of Dirichlet $L$-functions
- A Variant of Lehmer’s Conjecture, II: The CM-case
- Values of the Euler 𝜙-function not divisible by a given odd prime, and the distribution of Euler-Kronecker constants for cyclotomic fields
- On the Euler-Kronecker constants of global fields and primes with small norms
- Improvement of a Theorem of Linnik and Walfisz
- Periods of Hilbert modular surfaces
- Non-vanishing of \(L\)-functions and applications
- The non-vanishing of central values of automorphic \(L\)-functions and Landau-Siegel zeros
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