Conjectures of Sun about sums of polygonal numbers

DOI10.1007/s44007-022-00030-1OpenAlexW4308112562WikidataQ123010157 ScholiaQ123010157MaRDI QIDQ2105781

Kathrin Bringmann, Ben Kane

Publication date: 8 December 2022

Published in: La Matematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.14793

zbMATH Keywords

quadratic formsmodular formstheta functionspolygonal numbers

Mathematics Subject Classification ID

Sums of squares and representations by other particular quadratic forms (11E25) Theta series; Weil representation; theta correspondences (11F27) Quadratic forms over global rings and fields (11E12)

Related Items (1)

The pentagonal theorem of sixty-three and generalizations of Cauchy's lemma

Cites Work

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• On universal sums of polygonal numbers
• A result similar to Lagrange's theorem
• Newforms and functional equations
• Universal sums of generalized octagonal numbers
• On the number of representations of integers by quadratic forms with congruence conditions
• On ternary quadratic forms
• La conjecture de Weil. I
• Universal sums of generalized pentagonal numbers
• On modular forms of half integral weight
• Uniform bounds for Fourier coefficients of theta-series with arithmetic applications
• The triangular theorem of eight and representation by quadratic polynomials
• Finiteness theorems for universal sums of squares of almost primes

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