Lehmer’s Type Congruences for Lacunary Harmonic Sums
نویسنده
چکیده
In this paper, we study the Lehmer’s type congruences for lacunary harmonic sums.
منابع مشابه
Congruences for a Class of Alternating Lacunary Sums of Binomial Coefficients
An 1876 theorem of Hermite, later extended by Bachmann, gives congruences modulo primes for lacunary sums over the rows of Pascal’s triangle. This paper gives an analogous result for alternating sums over a certain class of rows. The proof makes use of properties of certain linear recurrences.
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متن کاملStatement Julian
My mathematical research interests are in number theory and algebraic geometry. My thesis work concerns the arithmetic of a family of rational numbers known as multiple harmonic sums, which are truncated approximations of multiple zeta values. I explore new structures underlying relations involving multiple harmonic sums, p-adic L-values, Bernoulli numbers, and binomial coefficients. This is us...
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