Uniform bounds for norms of theta series and arithmetic applications
From MaRDI portal
Publication:5043357
DOI10.1017/S0305004122000081OpenAlexW3113345409MaRDI QIDQ5043357
Publication date: 21 October 2022
Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2012.04311
Sums of squares and representations by other particular quadratic forms (11E25) Asymptotic results on arithmetic functions (11N37) Waring's problem and variants (11P05) Theta series; Weil representation; theta correspondences (11F27) Fourier coefficients of automorphic forms (11F30)
Related Items
Uses Software
Cites Work
- On Lagrange's four squares theorem with almost prime variables
- Gauss's three squares theorem involving almost-primes
- Fourier coefficients of modular forms of half-integral weight
- An explicit formula for local densities of quadratic forms
- Lagrange's equation with one prime and three almost-primes
- On ternary quadratic forms
- Local densities and explicit bounds for representability by a quadratic form
- Fourier coefficients of half-integral weight cusp forms and Waring's problem
- Quadratic forms and semiclassical eigenfunction hypothesis for flat tori
- Estimates of Petersson's inner squares of cusp forms and arithmetic applications
- Über die analytische Theorie der quadratischen Formen
- The sup-norm problem on the Siegel modular space of rank two
- Quadratic Forms Representing All Odd Positive Integers
- Sums of smooth squares
- Effective version of Tartakowsky's Theorem
- Petersson products of bases of spaces of cusp forms and estimates for Fourier coefficients
- Integers represented by positive-definite quadratic forms and Petersson inner products
- Uniform bounds for Fourier coefficients of theta-series with arithmetic applications
- Gauss's three squares theorem with almost prime variables
- On the representation of integers by quadratic forms
- A THREE SQUARES THEOREM WITH ALMOST PRIMES
- On explicit versions of Tartakovski's theorem
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item