326 citations
- Max Planck SocietyDE164 papers
- Max Planck Institute for Mathematics in the SciencesDE57 papers
- Capital Normal UniversityCN19 papers
- University of BonnDE8 papers
- Centre National de la Recherche ScientifiqueFR6 papers
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5 papers · 2 filters
Sign changes of coefficients of half integral weight modular forms
Jan Hendrik Bruinier, Winfried Kohnen
For a half integral weight modular form we study the signs of the Fourier coefficients . If is a Hecke eigenform of level with real Nebentypus character, and …
Average twin prime conjecture for elliptic curves
Antal Balog, Alina Cojocaru, Chantal David
Let E be an elliptic curve over Q. In 1988, Koblitz conjectured a precise asymptotic for the number of primes p up to x such that the order of the group of points of E over the fin…
Cyclic odd degree base change lifting for unitary groups in three variables
Ping-Shun Chan, Yuval Z. Flicker
Let E/F be a quadratic number (resp. p-adic) field extension, and F' an odd degree cyclic field extension of F. We establish a base-change functorial lifting of automorphic (resp.…
Quantum statistical mechanics and class field Theory
Jorge Plazas
We survey some results relating noncommutative geometry to the class field theory of number fields. These results appear within the context of quantum statistical mechanics where s…
A characterization of the modular units
Amanda Folsom
We provide an exact formula for the complex exponents in the modular product expansion of the modular units, and deduce a characterization of the modular units in terms of the grow…