Inhomogeneous quadratic forms and triangular numbers

DOI10.1353/ajm.2004.0007zbMath1047.11036OpenAlexW2110168464MaRDI QIDQ4456261

Goro Shimura

Publication date: 16 March 2004

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1353/ajm.2004.0007

zbMATH Keywords

sums of squaresEisenstein seriesFourier coefficientstriangular numbersums of pentagonal number

Mathematics Subject Classification ID

Sums of squares and representations by other particular quadratic forms (11E25) Forms of half-integer weight; nonholomorphic modular forms (11F37)

Related Items (10)

Class numbers of quadratic Diophantine equations ⋮ An explicit formula for the Fourier coefficients of Eisenstein series attached to lattices ⋮ Universal sums of triangular numbers and squares ⋮ Universal sums of generalized heptagonal numbers ⋮ On the almost universality of $\lfloor x^2/a\rfloor +\lfloor y^2/b\rfloor +\lfloor z^2/c\rfloor $ ⋮ Quadratic Diophantine equations, the class number, and the mass formula ⋮ Almost universal ternary sums of polygonal numbers ⋮ An algebraic and analytic approach to spinor exceptional behavior in translated lattices ⋮ Class numbers and representations by ternary quadratic forms with congruence conditions ⋮ Strong approximation for certain quadric fibrations with compact fibers

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