Keywords: Trinomial coefficient; Linear recurrence sequence; Chebyshev polynomial; Primary 11B65; Secondary 05A10; 05A19; 11B37; 11B39; 11A07;
مقالات ISI (ترجمه نشده)
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Keywords: 11B25; 11A07; 11N37; Arithmetic progression; Reduced residue system; Largest prime factor; Asymptotic formula;
Keywords: 11A07; 11A25; Menon's identity; Additive character; Ramanujan sum; Arithmetical sum; Greatest common divisor; Euler's totient function; Congruence;
Keywords: 11A07; 11A41; Prime-additive numbers; Prime powers; Representation of integers; Dirichlet's theorem; Chinese remainder theorem;
Keywords: 11B25; 11A07; 11N37; 11N56; Arithmetic progression; Residue class; Prime; Squarefree number; Asymptotic;
Keywords: primary; 11A07; secondary; 05A10; 11B83; Congruences; Binomial coefficients; Harmonic numbers; Polylogarithms; Generating functions;
Keywords: primary; 11A07; secondary; 33C05; Supercongruences; Delannoy number; Legendre symbol; Zeilberger algorithm;
Keywords: Primary; 11A07; 33D15; Secondary; 33C20; 33B15; Basic hypergeometric series; Hypergeometric series; p-Adic Gamma function; Supercongruence;
Keywords: 15A15; 11A07; 11R18; Matrix permanent and determinant; Congruences; Cyclotomic fields;
Keywords: 11A07; 68W30; Fault-tolerant rational reconstruction; Chinese remaindering;
Keywords: primary; 11B37; secondary; 11A07; 11N25; Linear recurrence; Divisibility;
Keywords: primary; 11A07; secondary; 11B39; 12Y05; Finite field; Order; Resultant; Primitive root; Primitive divisor;
Keywords: primary; 11A07; 11T30; 16U60; secondary; 03G05; 06E20; 20K01; Residue class ring; Unit; Exceptional unit; Atom; Multiplicative;
Keywords: 11B65; 11A07; Supercongruences; Abelian squares;
Keywords: 37B10; 11B85; 11A07; 05A15;
Keywords: 11A07; 11B65; 05A10Congruence; Binomial coefficients; Gaussian binomial coefficients; q-Series; Cyclotomic polynomials
Keywords: primary; 05A15; secondary; 05E99; 11A07; 20E06; 20E07; Virtually free groups; Free subgroup numbers; Modular group; Periodic sequences;
Keywords: 11A07; 11A51; 42C30Cantor set; Fourier basis; Prime decomposition; Spectral measure
Keywords: primary; 11A05; 11A07; secondary; 05A10; 11B65; Binomial coefficients; Divisibility; WZ method;
Keywords: 11B73; 11A07; Stirling numbers of the second kind; 2-adic valuation; Ring of p-adic integers; Generating function; Convolution identity;
Keywords: primary; 11A15; secondary; 11A07; 11B39; 11E25; Reciprocity law; Octic residue; Congruence; Quartic Jacobi symbol; Lucas sequence;
Keywords: 11A07; 11A41Congruences; Bernoulli numbers; Harmonic sums
Keywords: 11A07; 11B50; 11K45Exponential function; Prime power
Keywords: 11A07; 11A41Congruences; Bernoulli numbers; Modulo prime powers
Keywords: 11B73; 11A07
Keywords: primary; 11B75; secondary; 05A15; 05A18; 11A07; Bell polynomials; Derangement polynomials; Stirling numbers; Congruences;
ErdÅs-Birch type question in Nr
Keywords: 11A07; 11B13; 05B99; Complete set; Birch's theorem; ErdÅs-Birch type question; Discrete rectangles; Matching principle;
Arithmetic properties of Delannoy numbers and Schröder numbers
Keywords: primary; 11A07; 11B75; secondary; 05A10; 05A19; 11B65; 11C08; 33F99; Congruence; Polynomial; Delannoy number; Schröder number; Motzkin number;
Primitive root biases for prime pairs I: Existence and non-totality of biases
Keywords: 11A07; 11A41; 11N36; 11N37; Prime; Twin prime; Primitive root; Bateman-Horn conjecture; Twin prime conjecture; Brun sieve; Cousin prime; Sexy prime; Prime bias;
Factors of alternating sums of powers of q-Narayana numbers
Keywords: 11A07; 05A30; q-binomial coefficients; q-Narayana numbers; q-Catalan numbers;
Proof of two conjectural supercongruences involving Catalan-Larcombe-French numbers
Keywords: primary; 11B65; 11B68; secondary; 05A10; 11A07; Central binomial coefficients; Supercongruence; Harmonic numbers;
Some new identities and congruences for Fubini numbers
Keywords: primary; 11S80; 11A07; 11B50; 46S10; 97F60; secondary; 32P05; 32K05; 44A10; 44A60; p-adic measure; Moments sequence; Laplace transform; Fubini numbers; Generalized Fubini numbers; Congruences; Identities;
Supercongruences involving dual sequences
Keywords: primary; 11A07; 11B65; secondary; 05A10; 05A19; 11B68; 11B75; p-adic congruences; Binomial coefficients; Combinatorial identities; Dual sequences;
A supercongruence involving Delannoy numbers and Schröder numbers
Keywords: 11A07; 11B65; 11B83; 05A10Supercongruence; Delannoy numbers; Schröder numbers; Bernoulli numbers
Bounds of double multiplicative character sums and gaps between residues of exponential functions
Keywords: 11A07; 11L40Character sums; Intervals; Exponential function; Gaps
Proof of a conjecture of Z.-W. Sun on the divisibility of a triple sum
Keywords: 11A07; 11B65; 05A10Congruence; Supercongruence; Zeilberger's algorithm
On the divisibility of the truncated hypergeometric function F23
Keywords: primary; 11A07; secondary; 33C20; Truncated hypergeometric function; Congruence; Saalschütz's identity;
Generalised Apéry numbers modulo 9
Keywords: primary; 05A15; secondary; 11A07; Apéry numbers; Congruences;
Supercongruences motivated by e
Keywords: primary; 11B65; secondary; 05A10; 11A07; 11B68; Supercongruences; Binomial coefficients; Bernoulli numbers;
On divisibility of sums of Apéry polynomials
Keywords: primary; 11A07; secondary; 11B65; 11B83; 05A10; Apéry polynomial; q-Lucas congruence;
Congruences involving (2kk)2(3kk)
Keywords: primary; 11A07; secondary; 33C45; 11E25; 11G07; 11L10; 05A10; 05A19; Congruence; Legendre polynomial; Character sum; Elliptic curve; Binary quadratic form;
Symmetry classes of tensors as group modules
Keywords: primary; 20C15; 15A69; secondary; 11A07; 11A25; Characters of finite groups; Symmetry classes of tensors; Arithmetic functions;
Connections between p=x2+3y2 and Franel numbers
Keywords: primary; 11A07; 11E25; secondary; 05A10; 11B65; 11B75; Primes of the form x2+3y2; Franel numbers; Congruences;
Some q-congruences related to 3-adic valuations
Keywords: primary; 11B65; secondary; 05A10; 05A30; 11A07; 11S99; 3-adic valuation; Central binomial coefficient; Congruence; q-analogue;
Congruences arising from Apéry-type series for zeta values
Keywords: 11B65; 05A10; 11B68; 11A07; 33F10; 11B39; 11M06; Congruence; Creative telescoping; WZ pair; Finite central binomial sum; Multiple harmonic sum; Bernoulli number; Apéry-like series; Zeta value;
Some congruences involving central q-binomial coefficients
Keywords: 11B65; 11A07; 05A10Central binomial coefficients; q-Binomial coefficient; Congruence; Cyclotomic polynomial
The congruence x1x2≡x3x4(modm) and mean values of character sums
Keywords: 11A07; 11D79; 11L26; 11L40Congruences; Character sums; Moments
Decimal periods and their tables: A German research topic (1765–1801)
Keywords: 01A50; 11-03; 11A07; 11Y05; 11Y60Decimal periods; Mathematical tables; Lambert; Hindenburg; Gauss; Computation of π
Prime divisors of binary holonomic sequences
Keywords: 11A07; 11B65; 11L40Holonomic sequences; Prime numbers; Smooth numbers; The subspace theorem
Congruences for sums of binomial coefficients
Keywords: 11B65; 05A10; 11A07