Universal sums of generalized heptagonal numbers

DOI10.1016/j.jnt.2023.02.003OpenAlexW4360603810MaRDI QIDQ2700694

Ramanujam Kamaraj, Ben Kane, Ryoko Oishi-Tomiyasu

Publication date: 27 April 2023

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.14678

zbMATH Keywords

quadratic formstheta functionsDiophantine equationssums of polygonal numbers

Mathematics Subject Classification ID

Sums of squares and representations by other particular quadratic forms (11E25) Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45) Theta series; Weil representation; theta correspondences (11F27) Holomorphic modular forms of integral weight (11F11)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Über die Werte der Dedekindschen Zetafunktion
• An explicit formula for local densities of quadratic forms
• Universal sums of generalized octagonal numbers
• On ternary quadratic forms
• La conjecture de Weil. I
• Universal sums of generalized pentagonal numbers
• Strong approximation for certain quadric fibrations with compact fibers
• Sur la formule de Siegel dans la théorie des groupes classiques
• On modular forms of half integral weight
• Inhomogeneous quadratic forms and triangular numbers
• 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
• Weighted sums of generalized polygonal numbers with coefficients $1$ or $2$
• Determination of all classes of positive quaternary quadratic forms which represent all (positive) integers
• Universal Sums of m-Gonal Numbers
• On the theory of quadratic forms

This page was built for publication: Universal sums of generalized heptagonal numbers