On the number of zeros of exponential polynomials and related questions

DOI10.1017/S0004972700012065zbMath0753.11009MaRDI QIDQ3993929

Alfred J. van der Poorten, Igor E. Shparlinski

Publication date: 13 August 1992

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

zbMATH Keywords

estimatescongruencesnumber of zerosexponential polynomialslinear recurrence sequence\(p\)-adic power seriespower series in one variable

Mathematics Subject Classification ID

Recurrences (11B37) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Exponential Diophantine equations (11D61) (p)-adic and power series fields (11D88)

Related Items (7)

Sums of multiplicative coefficients twisted by Frobenius traces ⋮ On the statistical properties of Diffie-Hellman distributions ⋮ Bernstein type inequalities for quasipolynomials ⋮ Some divisibilities amongst the terms of linear recurrences ⋮ Life and Mathematics of Alfred Jacobus van der Poorten (1942–2010) ⋮ Zero testing of \(p\)-adic and modular polynomials ⋮ Möbius Randomness Law for Frobenius Traces of Ordinary Curves

Cites Work

• Number of different prime divisors of recurrence sequences
• Zeros of p -Adic Exponential Polynomials II

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