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Power values of sums of products of consecutive integers

Lajos Hajdu; Shanta Laishram; Szabolcs Tengely — 2016

Acta Arithmetica

We investigate power values of sums of products of consecutive integers. We give general finiteness results, and also give all solutions when the number of terms in the sum considered is at most ten.

Baker's explicit abc-conjecture and applications

Shanta Laishram; T. N. Shorey — 2012

Acta Arithmetica

The equation n(n+d) ⋯ (n+(k-1)d) = by² with ω(d) ≤ 6 or d ≤ 10¹⁰

Shanta Laishram; T. N. Shorey — 2007

Acta Arithmetica

Squares in arithmetic progression with at most two terms omitted

Shanta Laishram; T. N. Shorey — 2008

Acta Arithmetica

The greatest prime divisor of a product of consecutive integers

Shanta Laishram; T. N. Shorey — 2005

Acta Arithmetica

Number of prime divisors in a product of consecutive integers

Shanta Laishram; T. N. Shorey — 2004

Acta Arithmetica

Squares in products in arithmetic progression with at most one term omitted and common difference a prime power

Shanta Laishram; T. N. Shorey; Szabolcs Tengely — 2008

Acta Arithmetica

An extension of a theorem of Euler

Noriko Hirata-Kohno; Shanta Laishram; T. N. Shorey; R. Tijdeman — 2007

Acta Arithmetica

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