Found 358 Documents (Results 1–100)
A simple remark on Kummer’s conjecture. (English) Zbl 07903827
Reviewer: Masanari Kida (Tōkyō)
Riemann zeta functions for Krull monoids. (English) Zbl 07865942
Reviewer: Diego Sulca (Córdoba)
New proof and generalization of some results on translated sums over \(k\)-almost primes. (Nouvelle preuve et généralisation de certains résultats sur des sommes translatées sur \(k\)-presque premiers.) (English. French summary) Zbl 07860659
Sums over primes. II. (English) Zbl 07842622
Reviewer: Mehdi Hassani (Zanjan)
Gauss circle problem over smooth integers. (English) Zbl 07831273
Reviewer: Giovanni Coppola (Napoli)
On an exponential sum related to the Möbius function. (English) Zbl 07810081
Reviewer: Giovanni Coppola (Napoli)
On the distribution of modular square roots of primes. (English) Zbl 07807524
Reviewer: Stephan Baier (Hāoṛā)
A quaternary Diophantine inequality with prime numbers of a special form. (English) Zbl 07796578
Reviewer: Mehdi Hassani (Zanjan)
Partitions with multiplicities associated with divisor functions. (English) Zbl 07791618
Reviewer: Mircea Merca (București)
Higher Moments for Polynomial Chowla. arXiv:2408.08726
Preprint, arXiv:2408.08726 [math.NT] (2024).
Weighted exponential sums and its applications. arXiv:2408.02020
Preprint, arXiv:2408.02020 [math.NT] (2024).
Diophantine Approximation with Piatetski-Shapiro Primes. arXiv:2408.01314
Preprint, arXiv:2408.01314 [math.NT] (2024).
Metaplectic cusp forms and the large sieve. arXiv:2403.13151
Preprint, arXiv:2403.13151 [math.NT] (2024).
The error in the prime number theorem in short intervals. arXiv:2403.11814
Preprint, arXiv:2403.11814 [math.NT] (2024).
Roth-type Theorem for high-power system in Piatetski-Shapiro primes (II). arXiv:2401.02210
Preprint, arXiv:2401.02210 [math.NT] (2024).
On Davenport expansions, Popov’s formula and Fine’s query. (English) Zbl 1539.11112
Reviewer: Giovanni Coppola (Napoli)
Diophantine approximation with prime denominator in real quadratic function fields. (English) Zbl 1535.11103
Reviewer: Anton Shutov (Vladimir)
Exponential sums over primes with multiplicative coefficients. (English) Zbl 1528.11072
Reviewer: Alexey Ustinov (Khabarovsk)
Non primitive roots with a prescribed residue pattern. (English) Zbl 1528.11093
Reviewer: Giovanni Coppola (Napoli)
Correlations of sieve weights and distributions of zeros. (English) Zbl 1515.11081
Reviewer: Giovanni Coppola (Napoli)
Sharper bounds for the error in the prime number theorem assuming the Riemann Hypothesis. arXiv:2312.05628
Preprint, arXiv:2312.05628 [math.NT] (2023).
On a Finite Field Analogue of van der Corput Differencing. arXiv:2312.02525
Preprint, arXiv:2312.02525 [math.NT] (2023).
The Counting function for Elkies primes. arXiv:2311.17231
Preprint, arXiv:2311.17231 [math.NT] (2023).
A note on OEIS sequence A111384. arXiv:2309.14840
Preprint, arXiv:2309.14840 [math.CO] (2023).
Real exponential sums over primes and prime gaps. arXiv:2307.08725
Preprint, arXiv:2307.08725 [math.NT] (2023).
Quartic Gauss sums over primes and metaplectic theta functions. arXiv:2306.11875
Preprint, arXiv:2306.11875 [math.NT] (2023).
Correlation of the Rudin-Shapiro sequence along prime numbers. arXiv:2306.10629
Preprint, arXiv:2306.10629 [math.NT] (2023).
On an additive problem involving fractional powers with one prime and an almost prime variables. arXiv:2306.01972
Preprint, arXiv:2306.01972 [math.NT] (2023).
Distribution of products of shifted primes in arithmetic progressions with increasing difference. (Russian. English summary) Zbl 1523.11165
The large sieve with prime moduli. (English) Zbl 1518.11062
Reviewer: Mehdi Hassani (Zanjan)
A Bombieri-Vinogradov-type result for exponential sums over Piatetski-Shapiro primes. (English) Zbl 1518.11061
Reviewer: Mehdi Hassani (Zanjan)
On Ramanujan’s prime counting inequality. (English) Zbl 1526.11045
Reviewer: Kübra Benli (Lethbridge)
Averages of exponential twists of the von Mangoldt function. (English) Zbl 1507.11072
Reviewer: Mehdi Hassani (Zanjan)
A ternary Diophantine inequality by primes with one of the form \(p= x^2 +y^2 +1\). (English) Zbl 1497.11088
On the divisor function over nonhomogeneous Beatty sequences. (English) Zbl 1507.11073
Reviewer: Jiyou Li (Shanghai)
MSC:
11L20
Diophantine approximation with prime restriction in function fields (with an appendix by Arijit Ganguly). (English) Zbl 1501.11075
Reviewer: Manuel Hauke (Graz)
A ternary Diophantine inequality with prime numbers of a special form. (English) Zbl 1513.11167
Reviewer: Shigeru Kanemitsu (Kitakyushu)
A Bombieri-Vinogradov-type theorem with prime power moduli. (English) Zbl 1539.11100
Reviewer: Bogdan Petrenko (Charleston)
Quadratic residue pattern and the Galois group of \(\mathbb{Q}(\sqrt{a_1},\sqrt{a_2},\dots,\sqrt{a_n})\). (English) Zbl 1502.11003
Reviewer: Florian Luca (Johannesburg)
Möbius orthogonality of sequences with maximal entropy. (English) Zbl 1510.11128
Reviewer: Mehdi Hassani (Zanjan)
On the Hardy-Littlewood-Chowla conjecture on average. (English) Zbl 1501.11094
Reviewer: Olivier Bordellès (Aiguilhe)
On a ternary Diophantine equation involving fractional powers with prime variables of a special form. (English) Zbl 1512.11061
Reviewer: Thomas Stoll (Vandœuvre-lès Nancy)
The quaternary Piatetski-Shapiro inequality with one prime of the form \(p = x^2 + y^2 + 1\). (English) Zbl 1496.11060
Reviewer: Huafeng Liu (Jinan)
Fractional parts of non-integer powers of primes. II. (English) Zbl 1505.11120
Reviewer: Mehdi Hassani (Zanjan)
On small fractional parts of polynomial-like functions. (English) Zbl 1487.11068
Reviewer: Takao Komatsu (Hangzhou)
(Logarithmic) densities for automatic sequences along primes and squares. (English) Zbl 1497.11062
Reviewer: Michel Rigo (Liège)
WITHDRAWN: Polynomial equations modulo prime numbers. arXiv:2207.06033
Preprint, arXiv:2207.06033 [math.NT] (2022); retraction notice ibid.
Partitions into semiprimes. arXiv:2212.12489
Preprint, arXiv:2212.12489 [math.NT] (2022).
WITHDRAWN: A conditional result on exponential sums over primes in short intervals. arXiv:2211.15546
Preprint, arXiv:2211.15546 [math.NT] (2022); retraction notice ibid.
Synchronizing automatic sequences along Piatetski-Shapiro sequences. arXiv:2211.01422
Preprint, arXiv:2211.01422 [math.NT] (2022).
Partitions into prime powers. (English) Zbl 1523.11180
On the mean values of the Chebyshev function and their applications. (Russian. English summary) Zbl 1507.11071
Estimates of short exponential sums with primes in major arcs. (Russian. English summary) Zbl 1503.11114
On the distribution of \(\alpha p\) modulo one in quadratic number fields. (English) Zbl 1491.11069
Reviewer: Giovanni Coppola (Napoli)
Sums over primes. (English) Zbl 1489.11140
Discorrelation between primes in short intervals and polynomial phases. (English) Zbl 1494.11070
Reviewer: Mehdi Hassani (Zanjan)
Modular ternary additive problems with irregular or prime numbers. (English. Russian original) Zbl 1495.11098
Proc. Steklov Inst. Math. 314, 203-237 (2021); translation from Tr. Mat. Inst. Steklova 314, 211-247 (2021).
Reviewer: Huaning Liu (Xi’an)
Kloosterman sums with primes and solvability of a congruence with inverse residues. (English. Russian original) Zbl 1504.11087
Proc. Steklov Inst. Math. 314, 96-126 (2021); translation from Tr. Mat. Inst. Steklova 314, 103-133 (2021).
Reviewer: Temenoujka Peneva (Plovdiv)
Bounds of multiplicative character sums over shifted primes. (English. Russian original) Zbl 1496.11111
Proc. Steklov Inst. Math. 314, 64-89 (2021); translation from Tr. Mat. Inst. Steklova 314, 71-96 (2021).
Reviewer: Giovanni Coppola (Napoli)
On the correlation of the sum of digits along prime numbers. (English) Zbl 1490.11012
Reviewer: Thomas Stoll (Vandœuvre-lès Nancy)
Distribution of \(\alpha p^2\) modulo one with prime variable \(p\) of a special form. (English) Zbl 1477.11132
An exponential sum involving Fourier coefficients of eigenforms for \(\mathrm{SL}(2,\mathbb{Z})\). (English) Zbl 1469.11277
Diophantine approximation with prime restriction in function fields. arXiv:2110.00057
Preprint, arXiv:2110.00057 [math.NT] (2021).
Asymptotics of sums of functions of primes located on an arithmetic progression. arXiv:2112.04474
Preprint, arXiv:2112.04474 [math.NT] (2021).
MSC:
11L20
About the Primality of Primorials. arXiv:2110.04302
Preprint, arXiv:2110.04302 [math.NT] (2021).
Bias in cubic Gauss sums: Patterson’s conjecture. arXiv:2109.07463
Preprint, arXiv:2109.07463 [math.NT] (2021).
Consecutive square-free values of the form \([\alpha p]\), \([\alpha p]+1\). (English) Zbl 1489.11142
Kloosterman sums with primes and the solvability of one congruence with inverse residues. II. (Russian. English summary) Zbl 1455.11116
Small gaps between the Piatetski-Shapiro primes. (English) Zbl 1466.11062
Reviewer: Péter Pál Pach (Budapest)
On the distribution of \(\alpha p\) modulo one in imaginary quadratic number fields with class number one. (English. French summary) Zbl 1459.11148
Reviewer: Symon Serbenyuk (Kyïv)
A note on Titchmarsh divisor problem under the generalized Riemann hypothesis. (English) Zbl 1457.11134
Hua’s theorem on five squares of primes. (English) Zbl 1469.11275
Reviewer: Mehdi Hassani (Zanjan)
New estimate for Kloosterman sums with primes. (English. Russian original) Zbl 1473.11157
Math. Notes 108, No. 1, 87-93 (2020); translation from Mat. Zametki 108, No. 1, 94-101 (2020).
Reviewer: Kübra Benli (Vandœuvre-lès-Nancy)
Prime numbers in two bases. (English) Zbl 1484.11016
Reviewer: Wolfgang Steiner (Paris)
On criteria related to the reciprocal of the Riemann zeta function. (English) Zbl 1480.11101
Reviewer: Stephan Baier (Haora)
The Bombieri-Vinogradov theorem on higher rank groups and its applications. (English) Zbl 1465.11107
Möbius orthogonality for \(q\)-semimultiplicative sequences. (English) Zbl 1450.11097
Reviewer: Mehdi Hassani (Zanjan)
A binary quadratic Titchmarsh divisor problem. (English) Zbl 1475.11174
Reviewer: Mehdi Hassani (Zanjan)
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