A reduction of the remainder term in the prime geodesic theorem for the theta case

DOI10.1007/BF03322183zbMath0866.11033OpenAlexW2078052923MaRDI QIDQ1923652

Roland Matthes

Publication date: 20 July 1997

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03322183

zbMATH Keywords

modular formstheta serieserror term for the prime geodesic theoremprimitive binary quadratic form

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Gauss and Kloosterman sums; generalizations (11L05) Holomorphic modular forms of integral weight (11F11) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35)

Cites Work

• Unnamed Item
• Unnamed Item
• Rankin-Selberg method for real analytic cusp forms of arbitrary real weight
• On the spectral mean square of Fourier coefficients of real-analytic automorphic forms of half-integral weight
• Prime geodesic theorem.
• PETERSSON'S CONJECTURE FOR CUSP FORMS OF WEIGHT ZERO AND LINNIK'S CONJECTURE. SUMS OF KLOOSTERMAN SUMS
• Fourier coefficients of real analytic cusp forms of arbitrary real weight
• Prime geodesic theorem for the theta case.

This page was built for publication: A reduction of the remainder term in the prime geodesic theorem for the theta case