EXPONENTIAL AND CHARACTER SUMS WITH MERSENNE NUMBERS

DOI10.1017/S1446788712000109zbMath1320.11073MaRDI QIDQ2898882

William D. Banks, John B. Friedlander, Igor E. Shparlinski, Moubariz Z. Garaev

Publication date: 12 July 2012

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

exponential sumscharacter sumsMersenne number

Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Sums over primes (11L20)

Related Items (7)

Almost primes of the form \(\lfloor p^c \rfloor\) ⋮ On the power generator and its multivariate analogue ⋮ On the dynamical system generated by the Möbius transformation at prime times ⋮ Leading Digits of Mersenne Numbers ⋮ Sums of algebraic trace functions twisted by arithmetic functions ⋮ Disjointness of the Möbius transformation and Möbius function ⋮ On digits of Mersenne numbers

Cites Work

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• Double character sums over elliptic curves and finite fields
• New estimates of double trigonometric sums with exponential functions
• Character sums with exponential functions over smooth numbers
• Estimates of character sums with exponential function
• Exponential sums over Mersenne numbers

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