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SPECIAL POINT PROBLEMS WITH ELLIPTIC MODULAR SURFACES
Author(s) -
Pila Jonathan
Publication year - 2014
Publication title -
mathematika
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.955
H-Index - 29
eISSN - 2041-7942
pISSN - 0025-5793
DOI - 10.1112/s0025579313000168
Subject(s) - mathematics , multiplicative function , modular elliptic curve , elliptic curve , modular design , modular form , moduli , point (geometry) , pure mathematics , modular curve , mathematical analysis , quarter period , algebra over a field , geometry , quantum mechanics , physics , computer science , operating system
We prove a “special point” result for products of elliptic modular surfaces, elliptic curves, multiplicative groups and complex lines, and deduce a result about vanishing linear combinations of singular moduli and roots of unity.