Explicit methods in number theory. Abstracts from the workshop held July 22--28, 2018

DOI10.4171/OWR/2018/34zbMath1425.00094MaRDI QIDQ2331898

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Publication date: 31 October 2019

Published in: Oberwolfach Reports (Search for Journal in Brave)

Mathematics Subject Classification ID

Proceedings of conferences of miscellaneous specific interest (00B25) Proceedings, conferences, collections, etc. pertaining to number theory (11-06) Collections of abstracts of lectures (00B05) Discontinuous groups and automorphic forms (11Fxx) Computational number theory (11Yxx) Zeta and (L)-functions: analytic theory (11Mxx)

Cites Work

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• Non-split sums of coefficients of \(\mathrm{GL}(2)\)-automorphic forms
• Fourier coefficients of modular forms of half-integral weight
• Heegner points and derivatives of \(L\)-series
• Hyperbolic distribution problems and half-integral weight Maass forms
• A complete determination of the complex quadratic fields of class-number one
• Diophantine analysis and modular forms
• Sums of Hecke Eigenvalues over Values of Quadratic Polynomials
• Linear forms in the logarithms of algebraic numbers
• On the distribution of the roots of polynomial congruences

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