Summation formulas for general Kloosterman sums

DOI10.1007/BF01763965zbMath0481.10022MaRDI QIDQ1161779

Nikolai V. Proskurin

Publication date: 1982

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

zbMATH Keywords

Laplace operatorEisenstein seriesKloosterman sumsspectral decompositionFourier coefficientssum formulasreal analytic automorphic formsFuchsian group of first kind

Mathematics Subject Classification ID

Trigonometric and exponential sums (general theory) (11L03) Automorphic forms, one variable (11F12)

Related Items

Estimates of the eigenvalues of Hecke operators in the space of cusp forms of weight 0, On the Kuznetsov trace formula for \(\operatorname{PGL}_2(\mathbb{C})\)

Cites Work

• Fourier coefficients of cusp forms
• PETERSSON'S CONJECTURE FOR CUSP FORMS OF WEIGHT ZERO AND LINNIK'S CONJECTURE. SUMS OF KLOOSTERMAN SUMS
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