A THREE SQUARES THEOREM WITH ALMOST PRIMES

DOI10.1112/S0024609305004480zbMath1084.11056MaRDI QIDQ5693465

Jörg Brüdern, Valentin Blomer

Publication date: 26 September 2005

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

almost primesFourier coefficientscusp-forms of half-integral weightThe sum of three squaresthe vector sieve

Mathematics Subject Classification ID

Sums of squares and representations by other particular quadratic forms (11E25) Waring's problem and variants (11P05) Goldbach-type theorems; other additive questions involving primes (11P32) Applications of sieve methods (11N36) Applications of automorphic functions and forms to multiplicative problems (11N75)

Related Items (8)

Finiteness theorems for universal sums of squares of almost primes ⋮ Uniform bounds for norms of theta series and arithmetic applications ⋮ Enumeration of certain varieties over a finite field ⋮ Sums of Squares Coprime in Pairs ⋮ Integral points on quadrics in three variables whose coordinates have few prime factors ⋮ On a conjecture of Sun about sums of restricted squares ⋮ Gauss's three squares theorem involving almost-primes ⋮ SARNAK'S SATURATION PROBLEM FOR COMPLETE INTERSECTIONS

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